Representative questions from authentic past papers with detailed step-by-step solutions and verified formulas.
๐ท๏ธ HEC HAT-I โข Oct 2024 (Morning Batch)
Quantitative Reasoning
Question 1 of 200
A train 180 meters long is traveling at a constant speed of 54 km/h. How many seconds will it take to completely pass a railway platform of length 270 meters?
(A)25 seconds
(B)30 seconds
(C)35 seconds
(D)40 seconds
โ Correct Answer: Option B
(30 seconds)
๐ก Step-by-Step Explanation:
1. Total distance = Length of train + Length of platform = 180m + 270m = 450 meters.
2. Convert speed: 54 km/h = 54 ร (5/18) = 15 m/s.
3. Time = Total Distance / Speed = 450 / 15 = 30 seconds.
๐ท๏ธ HEC HAT-General โข Aug 2024 (Session-1)
Quantitative Reasoning
Question 2 of 200
Pipe A can fill a water tank in 10 hours, while Pipe B can fill the same tank in 15 hours. If both pipes are opened simultaneously, how long will it take to fill the tank completely?
๐ท๏ธ HEC HAT-III โข Nov 2023
Quantitative Reasoning
Question 8 of 200
A card is drawn at random from a standard, well-shuffled pack of 52 playing cards. What is the probability that the card drawn is either a King or a Heart?
๐ท๏ธ HEC USAT-CS โข Aug 2023
Quantitative Reasoning
Question 10 of 200
Find the sum of the infinite geometric series: 18, 6, 2, 2/3, ...
(A)24
(B)27
(C)36
(D)54
โ Correct Answer: Option B
(27)
๐ก Step-by-Step Explanation:
First term a = 18, common ratio r = 6/18 = 1/3. Sum Sโ = a / (1 - r) = 18 / (1 - 1/3) = 18 / (2/3) = 18 ร (3/2) = 27.
๐ท๏ธ HEC HAT-General โข Oct 2024
Analytical Reasoning
Question 11 of 200
Five executives (P, Q, R, S, T) sit in a circular conference table facing the center. P is between S and T. Q is immediately to the left of T. Who is sitting immediately to the right of P?
(A)S
(B)T
(C)Q
(D)R
โ Correct Answer: Option B
(T)
๐ก Step-by-Step Explanation:
Facing center in circular clockwise order: T -> P -> S -> R -> Q. Since P is between S and T with Q to the left of T, looking from P's perspective facing center, T is to P's immediate right and S is to P's immediate left.
๐ท๏ธ HEC HAT-I โข Aug 2024
Analytical Reasoning
Question 12 of 200
If all Zips are Zaps, and some Zaps are Zops, which of the following conclusions MUST be true?
(A)All Zips are Zops
(B)Some Zips are Zops
(C)Some Zaps are Zips
(D)No Zips are Zops
โ Correct Answer: Option C
(Some Zaps are Zips)
๐ก Step-by-Step Explanation:
If all A are B, then by immediate conversion, Some B are A ('Some Zaps are Zips') is necessarily true.
๐ท๏ธ NTS NAT-IE โข June 2024
Analytical Reasoning
Question 13 of 200
In a code language, if 'MADRAS' is coded as 'NBESBT', how will 'BOMBAY' be coded in that same system?
(A)CPNCBX
(B)CPNCBZ
(C)CPOCBZ
(D)CQOCBZ
โ Correct Answer: Option B
(CPNCBZ)
๐ก Step-by-Step Explanation:
Each letter is shifted forward by +1 position: B->C, O->P, M->N, B->C, A->B, Y->Z โน CPNCBZ.
๐ท๏ธ HEC HAT-General โข Oct 2024
Verbal Reasoning
Question 14 of 200
PROSAIC : POETRY ::
(A)Lethargic : Activity
(B)Pedestrian : Novelty
(C)Mundane : Imagination
(D)Cacophonous : Music
โ Correct Answer: Option D
(Cacophonous : Music)
๐ก Step-by-Step Explanation:
Prosaic describes something that lacks poetic beauty; cacophonous describes sound that lacks musical harmony.
๐ท๏ธ NTS GAT-B โข Sept 2024
Verbal Reasoning
Question 15 of 200
Select the word most OPPOSITE in meaning to INIMICAL:
(A)Hostile
(B)Friendly & Favorable
(C)Ambiguous
(D)Dangerous
โ Correct Answer: Option B
(Friendly & Favorable)
๐ก Step-by-Step Explanation:
Inimical means harmful or hostile. Its direct antonym is Friendly / Favorable / Amiable.
๐ท๏ธ HEC USAT-E โข Jan 2025 (Phase-1)
General Knowledge
Question 16 of 200
Which of the following vessels of blood carry blood from different parts of the body to heart?
(A)Veins
(B)Arteries
(C)Capillaries
(D)Vessels
โ Correct Answer: Option A
(Veins)
๐ก Step-by-Step Explanation:
Veins are the blood vessels responsible for transporting deoxygenated blood from various body tissues back to the heart.
๐ท๏ธ HEC USAT-E โข Aug 2025 (Phase-1)
General Knowledge
Question 17 of 200
What is the diameter of earth?
(A)11756 km
(B)12756 km
(C)13756 km
(D)14756 km
โ Correct Answer: Option B
(12756 km)
๐ก Step-by-Step Explanation:
The equatorial diameter of the Earth is approximately 12,756 kilometers, reflecting its slightly oblate shape.
๐ท๏ธ HEC USAT-E โข Oct 2025 (Phase-2)
General Knowledge
Question 18 of 200
What is the main cause of earthquakes?
(A)Volcanic activities
(B)Tectonic plate's movement
(C)Tectonic dislocation
(D)All of above
โ Correct Answer: Option B
(Tectonic plate's movement)
๐ก Step-by-Step Explanation:
Most earthquakes are caused by the sudden release of energy along faults in the Earth's crust due to tectonic plate movements.
๐ท๏ธ HEC USAT-E โข March 2025 (Paper-II)
General Knowledge
Question 19 of 200
Pyorrhea is a disease of the:
(A)Nose
(B)Gums
(C)Heart
(D)Lungs
โ Correct Answer: Option B
(Gums)
๐ก Step-by-Step Explanation:
Pyorrhea, also known as periodontitis, is a severe gum infection that damages the soft tissue and can destroy the bone supporting teeth.
๐ท๏ธ HEC USAT-E โข Aug 2025 (Official Paper)
General Knowledge
Question 20 of 200
Two solution are said to be isotonic when they:
(A)Have the same osmotic pressure
(B)When they are of equal concentration
(C)Contain the same solute dissolved in them
(D)Have the same vapour pressure
โ Correct Answer: Option A
(Have the same osmotic pressure)
๐ก Step-by-Step Explanation:
Isotonic solutions exert equal osmotic pressure across a semipermeable membrane, resulting in no net movement of water.
๐ท๏ธ HEC USAT-E โข Sept 2025 (Phase-1)
General Knowledge
Question 21 of 200
On the day the sun is nearest to the earth, the earth, is said to be in:
(A)Aphelion
(B)Perihelion
(C)Apogee
(D)Perigee
โ Correct Answer: Option B
(Perihelion)
๐ก Step-by-Step Explanation:
Perihelion is the specific point in the orbit of a planet or comet where it is nearest to the Sun.
๐ท๏ธ HEC USAT-E โข Sept 2025 (Batch-2)
Quantitative Aptitude Test
Question 22 of 200
Insert the missing number in Triangle grid [11, 242, 3; 13, 338, 2]
(A)120
(B)162
(C)260
(D)164
โ Correct Answer: Option B
(162)
๐ก Step-by-Step Explanation:
Triangle 1:
Right vertex: \(\frac{6}{2} = \mathbf{3}\)
Center: \(11^2 \times 2 = 121 \times 2 = \mathbf{242}\)
Triangle 2:
Right vertex: \(\frac{4}{2} = \mathbf{2}\)
Center: \(13^2 \times 2 = 169 \times 2 = \mathbf{338}\)
Solving for Triangle 3
Using the same pattern where \(\text{Left} = 9\) and \(\text{Bottom} = 4\):
Find the right side (?): \(\text{Right}=\frac{4}{2}=\mathbf{2}\)
Find the center (?): \(\text{Center}=9^{2}\times 2=81\times 2=\mathbf{162}\)
๐ท๏ธ HEC USAT-E โข Aug 2025 (Phase-2)
Quantitative Aptitude Test
Question 23 of 200
Series: 16, 23, 20, 27, 24, 31, โโ?
(A)24
(B)27
(C)26
(D)28
โ Correct Answer: Option D
(28)
๐ก Step-by-Step Explanation:
The Pattern
This sequence follows an alternating mathematical pattern of adding 7, then subtracting 3:
\(16 + 7 = 23\)
\(23 - 3 = 20\)
\(20 + 7 = 27\)
\(27 - 3 = 24\)
\(24 + 7 = 31\)
Solving for the Next Number
Following the established pattern, the next operation is to subtract 3:
\(31-3=\mathbf{28}\)
๐ก Step-by-Step Explanation:
The sequence alternates between two operations:
multiplying the previous number by 2 and adding 1, then multiplying by 2 and subtracting 1:
\(8 \times 2 + 1 = \mathbf{17}\)
\(17 \times 2 - 1 = \mathbf{33}\)
\(33 \times 2 + 1 = \mathbf{67}\)
\(67 \times 2 - 1 = \mathbf{133}\)
Find the 6th number: Following the alternating pattern, multiply the 5th number (\(133\)) by 2 and add 1:
\(133\times 2+1=266+1=\mathbf{267}\)
Find the 7th number: Next, multiply the newly found 6th number (\(267\)) by 2 and subtract 1:
\(267\times 2-1=534-1=\mathbf{533}\)
๐ท๏ธ HEC USAT-E โข March 2025 (Phase-2)
Quantitative Aptitude Test
Question 26 of 200
Insert the missing number
413 (2420) 70 ... 19 ( ) 16
(A)165
(B)180
(C)175
(D)190
โ Correct Answer: Option B
(180)
๐ก Step-by-Step Explanation:
The number inside the parentheses is found by adding the left and right numbers together, multiplying the sum by 5, and then adding 5:
\(\text{Middle}=(\text{Left}+\text{Right})\times 5+5\)
Verification
First Row:
\((413+70)\times 5+5=483\times 5+5=2415+5=\mathbf{2420}\)
Solving for the Second Row
Applying the exact same rule to the second row:
\((19+16)\times 5+5\)\(35\times 5+5=175+5=\mathbf{180}\)
๐ท๏ธ HEC USAT-E โข March 2025 (Paper-I)
Quantitative Aptitude Test
Question 27 of 200
Find the odd man out: 102, 34, 51, 59, 119
(A)34
(B)51
(C)59
(D)119
โ Correct Answer: Option C
(59)
๐ก Step-by-Step Explanation:
All numbers except 59 are multiples of 17 (17ร6=102, 17ร2=34, 17ร3=51, 17ร7=119). 59 is prime.
๐ท๏ธ HEC USAT-E โข Aug 2025 (Batch-1)
Quantitative Aptitude Test
Question 28 of 200
The width of a rectangle is 2 cmยทless than its length and its length and its perimeter is 12 cm. The rectangle's area is:
๐ท๏ธ HEC USAT-E โข March 2025 (Official Paper)
Quantitative Aptitude Test
Question 29 of 200
Number is always divisible by 8 if:
(A)It ends in 8
(B)it is even
(C)its last two digits as a number are divisible by 8
(D)Its last three digits as a number are divisible by 8
โ Correct Answer: Option D
(Its last three digits as a number are divisible by 8)
๐ก Step-by-Step Explanation:
Here is the quick rule breakdown for divisibility by powers of 2:
Divisible by 2: The last 1 digit must be even (divisible by 2).
Divisible by 4: The last 2 digits must form a number divisible by 4.
Divisible by 8: The last 3 digits must form a number divisible by 8.
๐ท๏ธ HEC USAT-E โข March 2025 (Phase-2)
English Language Comprehension
Question 30 of 200
He was (all ready) to leave the house when his friend came over.
(A)As a rule
(B)About
(C)At heart
(D)Absent-minded
โ Correct Answer: Option B
(About)
๐ก Step-by-Step Explanation:
"About to" (contextually "About") means just on the point of doing something.
๐ท๏ธ HEC USAT-E โข May 2025 (Batch-1)
English Language Comprehension
Question 31 of 200
The teacher said the little boy was (her favorite).
(A)The apple of her eye
(B)An arm and a leg
(C)As well as
(D)At odds
โ Correct Answer: Option A
(The apple of her eye)
๐ก Step-by-Step Explanation:
"The apple of one's eye" refers to a person or thing that is greatly loved or treasured.
๐ท๏ธ HEC USAT-E โข May 2025 (Batch-2)
English Language Comprehension
Question 32 of 200
Okay I'm (listening). Please continue with your story.
(A)All ears
(B)All thumbs
(C)As a rule
(D)At heart
โ Correct Answer: Option A
(All ears)
๐ก Step-by-Step Explanation:
"All ears" means listening eagerly or attentively.
๐ท๏ธ HEC USAT-E โข Aug 2025 (Batch-2)
English Language Comprehension
Question 33 of 200
He is (very forgetful) and is always losing his glasses.
(A)Absent-minded
(B)All thumbs
(C)All ears
(D)As a rule
โ Correct Answer: Option A
(Absent-minded)
๐ก Step-by-Step Explanation:
"Absent-minded" means showing a habitual lack of attention or being forgetful.
๐ท๏ธ HEC USAT-E โข Feb 2025 (Batch-1)
English Language Comprehension
Question 34 of 200
He is always (fighting) with his boss about something.
(A)As usual
(B)At last
(C)At odds
(D)At heart
โ Correct Answer: Option C
(At odds)
๐ก Step-by-Step Explanation:
"At odds" means in conflict or at variance; fighting or disagreeing.
๐ท๏ธ HEC USAT-E โข Aug 2025 (Batch-1)
English Language Comprehension
Question 35 of 200
He is always spending his money drinking so he is always (without money).
(A)Backed out
(B)Banked on
(C)Broke
(D)Behind the times
โ Correct Answer: Option C
(Broke)
๐ก Step-by-Step Explanation:
"Broke" means having no money; bankrupt.
๐ท๏ธ HEC USAT-E โข July 2025 (Batch-1)
English Language Comprehension
Question 36 of 200
It is time to (tell) her about the company's plans to move.
(A)Burn the candle at both ends to
(B)Break the news to
(C)Bend over backwards to
(D)Burn the midnight oil to
โ Correct Answer: Option B
(Break the news to)
๐ก Step-by-Step Explanation:
"Break the news" means to inform someone of something (usually significant or unpleasant).
๐ท๏ธ HEC USAT-E โข Dec 2025 (Morning Session)
English Language Comprehension
Question 37 of 200
I would like to buy a new car so I have begun to (economize) on my daily expenses.
(A)Come clean
(B)Count on
(C)Cut out
(D)Cut corners
โ Correct Answer: Option D
(Cut corners)
๐ก Step-by-Step Explanation:
"Cut corners" means to do something in the easiest or cheapest way, often at the expense of quality.
๐ท๏ธ HEC USAT-E โข Dec 2025 (Morning Session)
English Language Comprehension
Question 38 of 200
Working in an office is definitely (unsuitable for him).
(A)In care of him
(B)Not his cup of tea
(C)On credit
(D)Cut out
โ Correct Answer: Option B
(Not his cup of tea)
๐ก Step-by-Step Explanation:
"Not someone's cup of tea" means something is not what they like or are suited for.
๐ท๏ธ HEC USAT-E โข Oct 2024 (Morning Session)
General Knowledge
Question 39 of 200
Head Office of UNESCO is located at:
(A)Paris
(B)Geneva
(C)London
(D)Washington
โ Correct Answer: Option A
(Paris)
๐ก Step-by-Step Explanation:
UNESCO is headquartered in Paris, France, where it coordinates international cooperation in education, science, and culture.
๐ท๏ธ HEC USAT-E โข Aug 2024 (Batch-1)
General Knowledge
Question 40 of 200
The main chemical substance present in the bones and teeth of animals is:
(A)Sodium Chloride
(B)Sugar
(C)Calcium Phosphate
(D)Calcium Sulphate
โ Correct Answer: Option C
(Calcium Phosphate)
๐ก Step-by-Step Explanation:
Hydroxyapatite, a form of calcium phosphate, is the primary mineral component that provides strength to bones and tooth enamel.
๐ท๏ธ HEC USAT-E โข Sept 2024 (Evening Session)
General Knowledge
Question 41 of 200
A gas, which is not present in normal samples of air, is:
(A)Neon
(B)Chlorine
(C)Carbon Dioxide
(D)Helium
โ Correct Answer: Option B
(Chlorine)
๐ก Step-by-Step Explanation:
Chlorine is a highly reactive gas not found naturally in the atmosphere; gases like neon, helium, and CO2 are trace components of air.
๐ท๏ธ HEC USAT-E โข Dec 2024 (Evening Session)
General Knowledge
Question 42 of 200
What is the International Date Line?
(A)It is the equator
(B)It is the 0ยฐ longitude
(C)It is the 90ยฐ east longitude
(D)It is the 180ยฐ longitudes
โ Correct Answer: Option D
(It is the 180ยฐ longitudes)
๐ก Step-by-Step Explanation:
The International Date Line is an imaginary line located at roughly 180 degrees longitude that marks the start of a new calendar day.
๐ท๏ธ HEC USAT-E โข Aug 2024 (Morning Session)
General Knowledge
Question 43 of 200
What is the unit of measurement of the distances of stars from the earth?
(A)Light year
(B)Fathoms
(C)Nautical miles
(D)Kilometres
โ Correct Answer: Option A
(Light year)
๐ก Step-by-Step Explanation:
A light year is the distance that light travels in a vacuum in one Julian year, used to measure vast interstellar distances.
๐ท๏ธ HEC USAT-E โข Dec 2024 (Evening Session)
Quantitative Aptitude Test
Question 44 of 200
Write the middle figure between 83 and 98.
(A)90.5
(B)90
(C)91
(D)91.5
โ Correct Answer: Option A
(90.5)
๐ก Step-by-Step Explanation:
Arithmetic mean:
(83+98)/2=181/2=90.5.
(Note: 91 is a common whole-int answer).
๐ท๏ธ HEC USAT-E โข Feb 2024 (Phase-1)
Quantitative Aptitude Test
Question 45 of 200
Series: 4, 7, 9, 11, 14, 15, 19, โโ?
(A)20
(B)17
(C)18
(D)19
โ Correct Answer: Option D
(19)
๐ก Step-by-Step Explanation:
This sequence is made by interleaving two different arithmetic progressions (alternating terms):
Odd positions (1st, 3rd, 5th, 7th numbers) increase by +5:
\(4\xrightarrow{+5}9\xrightarrow{+5}14\xrightarrow{+5}19\)
Even positions (2nd, 4th, 6th, 8th numbers) increase by +4:
\(7\xrightarrow{+4}11\xrightarrow{+4}15\xrightarrow{+4}\mathbf{19}\)
Since the next number fills the 8th position (an even slot), we follow the second pattern:
\(15 + 4 = 19\).
๐ท๏ธ HEC USAT-E โข May 2024 (Paper-II)
Quantitative Aptitude Test
Question 46 of 200
A cyclist covers half as much distance again as a tanga, driver and the tanga driver half as much again as a man on foot. If a man can walk a distance of 3 miles in an hour, how long will it take the cyclist to cover a distance of 27 miles?
(A)3 hrs
(B)1.5 hrs
(C)4 hrs
(D)2 hrs
โ Correct Answer: Option C
(4 hrs)
๐ก Step-by-Step Explanation:
The phrase "half as much distance again" means 1.5 times the speed or distance of the baseline person.
Find the speed of the man on foot:
Given, the man walks 3 miles per hour.
Find the speed of the tanga driver:
He goes 1.5 times faster than the man.
\(\text{Speed} = 3 \times 1.5 = \mathbf{4.5\text{ miles/hour}}\)
Find the speed of the cyclist:
He goes 1.5 times faster than the tanga driver.
\(\text{Speed} = 4.5 \times 1.5 = \mathbf{6.75\text{ miles/hour}}\)
Calculate the time taken by the cyclist to cover 27 miles:
\(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)
\(\text{Time} = \frac{27}{6.75} = \mathbf{4\text{ hours}}\)
๐ท๏ธ HEC USAT-E โข Jan 2024 (Evening Session)
Quantitative Aptitude Test
Question 47 of 200
A student secures an average of 78 percent in four subjects. How many marks must he get in his fifth subject if he is to get average 80 percent in all the five subjects?
(A)84
(B)89
(C)88
(D)86
โ Correct Answer: Option C
(88)
๐ก Step-by-Step Explanation:
To find the score needed in the fifth subject, we can look at the total percentage points required:
Calculate the total points required for 5 subjects:
To maintain an overall average of 80% across 5 subjects:
\(5\times 80=400\text{ points}\)
Calculate the total points earned in the first 4 subjects:
With an average of 78% across 4 subjects:
\(4\times 78=312\text{ points}\)
Find the required score for the 5th subject:
Subtract the points already earned from the total points needed:
\(400-312=\mathbf{88\%}\)
๐ท๏ธ HEC USAT-E โข Nov 2024 (Phase-2)
Quantitative Aptitude Test
Question 48 of 200
Complete the alphanumeric series: A 5, C 7, F 10, J 14, __
(A)N 18
(B)O 19
(C)P 19
(D)O 20
โ Correct Answer: Option B
(O 19)
๐ก Step-by-Step Explanation:
Letters advance +2, +3, +4, +5: A(1), C(3), F(6), J(10), O(15). Numbers advance 5(+2)=7, 7(+3)=10, 10(+4)=14, 14(+5)=19. Next term is O 19.
๐ท๏ธ HEC USAT-E โข Dec 2024 (Phase-1)
Quantitative Aptitude Test
Question 49 of 200
Approximately how much distance does each bird fly before it gets to the fish?
(A)21 m
(B)30 m
(C)25 m
(D)cannot be deduced
โ Correct Answer: Option B
(30 m)
๐ก Step-by-Step Explanation:
Set up the Equation:
Let \(x\) be the horizontal distance from the 20-m pole to the fish. The horizontal distance from the 10-m pole to the fish is then \((50 - x)\).Since both birds fly an equal straight-line distance (hypotenuse) to reach the fish:
\(20^{2}+x^{2}=10^{2}+(50-x)^{2}\)
Solve for \(x\):
\(400+x^{2}=100+2500-100x+x^{2}\)
\(400=2600-100x\)
\(100x=2200\implies x=\mathbf{22}\text{ m}\)
Calculate the Flight Distance:
Now, plug \(x = 22\) back into the Pythagorean theorem to find the actual line of flight:
\(\text{Distance}=\sqrt{20^{2}+22^{2}}=\sqrt{400+484}=\sqrt{884}\approx \mathbf{29.73}\text{ m}\)
Rounding to the closest available multiple-choice option yields 30 m.
๐ท๏ธ HEC USAT-E โข May 2024 (Morning Session)
Quantitative Aptitude Test
Question 50 of 200
Aslam purchased a Chair for Rs. 2,000 and sold it to Arshad at a loss of 10 percent Arshad sold it to Akbar at a loss of 10 percent while Akbar sold it to Qumar at a gain of 10 percent. The amount Qumar paid for it would be Rs......
(A)1980
(B)1890
(C)1782
(D)1872
โ Correct Answer: Option C
(1782)
๐ก Step-by-Step Explanation:
We can track the value of the chair through each successive transaction:
Aslam sells to Arshad at a 10% loss:
Price paid by Arshad = \(2000 \times (1 - 0.10) = 2000 \times 0.90 = \mathbf{\text{Rs. 1,800}}\)
Arshad sells to Akbar at a 10% loss:
Price paid by Akbar = \(1800 \times (1 - 0.10) = 1800 \times 0.90 = \mathbf{\text{Rs. 1,620}}\)
Akbar sells to Qumar at a 10% gain:
Price paid by Qumar = \(1620 \times (1 + 0.10) = 1620 \times 1.10 = \mathbf{\text{Rs. 1,782}}\)
๐ท๏ธ HEC USAT-E โข March 2024 (Evening Session)
Quantitative Aptitude Test
Question 51 of 200
Expansion of $(X+3)^{19}$ will contain __ terms?
(A)19
(B)21
(C)20
(D)18
โ Correct Answer: Option C
(20)
๐ก Step-by-Step Explanation:
In binomial expansion (a+b)n, the number of terms is always n+1.
According to the Binomial Theorem, when you expand a binomial expression raised to a positive integer power \(n\) (in the form \((a+b)^n\)), the total number of terms in the expanded form is always equal to \(n + 1\).
Calculation
Given exponent (\(n\)) = \(19\)
Total terms = \(19 + 1 = \mathbf{20}\)
๐ท๏ธ HEC USAT-E โข Feb 2024 (Morning Session)
Quantitative Aptitude Test
Question 52 of 200
If Rs. 1200 yields Rs. 594 as interest for six years at simple interest, the interest rate would be nearly ------ percent.
(A)7.25
(B)8.25
(C)9
(D)6
โ Correct Answer: Option B
(8.25)
๐ก Step-by-Step Explanation:
Simple Interest Formula: \(SI = \frac{P \times R \times T}{100}\)
Given values:
Principal (\(P\)) = Rs. 1200
Simple Interest (\(SI\)) = Rs. 594
Time (\(T\)) = 6 years
Rearrange the formula to solve for Rate (\(R\)):
\(R=\frac{SI\times 100}{P\times T}\)
\(R=\frac{594\times 100}{1200\times 6}\)
\(R=\frac{59400}{7200}=8.25\%\)
๐ท๏ธ HEC USAT-E โข Feb 2024 (Morning Session)
English Language Comprehension
Question 53 of 200
That car must have cost him (an incredibly large amount of money).
(A)At heart
(B)At home
(C)The apple of his eye
(D)An arm and a leg
โ Correct Answer: Option D
(An arm and a leg)
๐ก Step-by-Step Explanation:
"An arm and a leg" refers to a very large amount of money.
๐ท๏ธ HEC USAT-E โข Feb 2024 (Phase-2)
English Language Comprehension
Question 54 of 200
She (separated from) her boyfriend after a big fight last week.
(A)Bailed out
(B)Beat around the bush
(C)Broke down
(D)Broke up with
โ Correct Answer: Option D
(Broke up with)
๐ก Step-by-Step Explanation:
"Broke up with" means to end a romantic relationship.
๐ท๏ธ HEC USAT-E โข Oct 2024 (Batch-1)
English Language Comprehension
Question 55 of 200
The clothes in that store are a little (old fashioned).
(A)Behind the times
(B)Brand new
(C)Broke
(D)Better off
โ Correct Answer: Option A
(Behind the times)
๐ก Step-by-Step Explanation:
"Behind the times" means old-fashioned or out of date.
๐ท๏ธ HEC USAT-E โข Jan 2024 (Official Paper)
English Language Comprehension
Question 56 of 200
His father must (eliminate) fat from his diet because of his health.
(A)Cancel out
(B)Calm down
(C)Cut out
(D)Carry over
โ Correct Answer: Option C
(Cut out)
๐ก Step-by-Step Explanation:
"Cut out" means to stop doing, using, or eating something; to eliminate.
๐ท๏ธ HEC USAT-E โข Oct 2024 (Morning Session)
English Language Comprehension
Question 57 of 200
She has really (advanced) with her typing skills.
(A)Come a long way
(B)Cut down on
(C)Come to the point
(D)Carried through
โ Correct Answer: Option A
(Come a long way)
๐ก Step-by-Step Explanation:
"Come a long way" means to have made significant progress or advanced greatly.
๐ท๏ธ HEC USAT-E โข Dec 2023 (Morning Session)
General Knowledge
Question 58 of 200
Which one of the following planets has the maximum number of satellites?
(A)Jupiter
(B)Saturn
(C)Venus
(D)Uranus
โ Correct Answer: Option B
(Saturn)
๐ก Step-by-Step Explanation:
While Jupiter was historically cited, Saturn is recognized in the source as having the highest number of documented moons at the time.
๐ท๏ธ HEC USAT-E โข Aug 2023 (Batch-2)
General Knowledge
Question 59 of 200
What is the freezing point of heavy water?
(A)3.82 $^o$ C
(B)2.82 $^o$ C
(C)1.82 $^o$ C
(D)0.82 $^o$ C
โ Correct Answer: Option A
(3.82 $^o$ C)
๐ก Step-by-Step Explanation:
Heavy water (deuterium oxide) has a higher freezing point than normal water, occurring at approximately 3.82 degrees Celsius.
๐ท๏ธ HEC USAT-E โข Sept 2023 (Batch-2)
General Knowledge
Question 60 of 200
How many satellites (moons) of Saturn planet?
(A)36
(B)56
(C)27
(D)23
โ Correct Answer: Option B
(56)
๐ก Step-by-Step Explanation:
This number reflects the count of Saturn's moons documented at the time the original source material was compiled.
๐ท๏ธ HEC USAT-E โข Jan 2023 (Batch-2)
General Knowledge
Question 61 of 200
Hard water does not lather well with soap because:
(A)It contains carbonates of calcium and magnesium
(B)It is highly coloured
(C)It contains suspended impurities
(D)It contains sodium chloride
โ Correct Answer: Option A
(It contains carbonates of calcium and magnesium)
๐ก Step-by-Step Explanation:
Dissolved calcium and magnesium ions in hard water react with soap to form insoluble curds rather than lather.
๐ท๏ธ HEC USAT-E โข Nov 2023 (Phase-2)
General Knowledge
Question 62 of 200
Enzymes are substances that:
(A)They are soluble in water
(B)Convert complex organic substances into simpler molecules
(C)They produced by the ductless glands
(D)Resist the attack of viral diseases
โ Correct Answer: Option B
(Convert complex organic substances into simpler molecules)
๐ก Step-by-Step Explanation:
Enzymes are biological catalysts that speed up chemical reactions, such as breaking down complex nutrients during digestion.
๐ท๏ธ HEC USAT-E โข Oct 2023 (Morning Session)
General Knowledge
Question 63 of 200
'One Astronomical Unit' is the average distance between:
(A)Earth and the Sun
(B)Earth and the Moon
(C)Jupiter and the Sun
(D)Pluto and the Sun
โ Correct Answer: Option A
(Earth and the Sun)
๐ก Step-by-Step Explanation:
An Astronomical Unit (AU) represents the mean distance between the center of the Earth and the center of the Sun, approximately 150 million km.
๐ท๏ธ HEC USAT-E โข Aug 2023 (Phase-2)
General Knowledge
Question 64 of 200
The moon's period of revolution with reference to the sun is:
(A)Equal to one solar month
(B)Equal to one sidereal month
(C)Equal to one synodic month
(D)None of these
โ Correct Answer: Option C
(Equal to one synodic month)
๐ก Step-by-Step Explanation:
The synodic month, which lasts about 29.5 days, is the time it takes for the Moon to return to the same position relative to the Sun.
๐ท๏ธ HEC USAT-E โข Aug 2023 (Paper-II)
General Knowledge
Question 65 of 200
Which of the following is wrong?
(A)The sun never shines vertically beyond the tropics
(B)At the poles there is light for half the year
(C)The sun shines vertically over the Tropic of Cancer at the time of the winter solstice
(D)When the sun shines vertically over the equator, it is called an equinox
โ Correct Answer: Option C
(The sun shines vertically over the Tropic of Cancer at the time of the winter solstice)
๐ก Step-by-Step Explanation:
The Sun shines vertically over the Tropic of Cancer during the summer solstice (June) in the Northern Hemisphere, not the winter solstice.
๐ท๏ธ HEC USAT-E โข Aug 2023 (Batch-1)
General Knowledge
Question 66 of 200
Which place will experience sunlight for the longest period in summer?
(A)Mumbai
(B)Srinagar
(C)Cheney
(D)Calcutta
โ Correct Answer: Option B
(Srinagar)
๐ก Step-by-Step Explanation:
Higher latitude cities like Srinagar experience longer daylight hours during the summer months compared to cities closer to the equator.
๐ท๏ธ HEC USAT-E โข Sept 2023 (Batch-2)
General Knowledge
Question 67 of 200
A person planning to travel by the shortest route should follow:
(A)Winds
(B)Rivers
(C)Latitudes
(D)Longitudes
โ Correct Answer: Option D
(Longitudes)
๐ก Step-by-Step Explanation:
Traveling along great circle routes, which correspond to longitudes at the equator, represents the shortest distance between two points on a sphere.
๐ท๏ธ HEC USAT-E โข Dec 2023 (Official Paper)
Quantitative Aptitude Test
Question 68 of 200
The average price of 3 books is Rs. 18. Which of the following could be with price of one of the books?
(A)57
(B)56
(C)55
(D)52
โ Correct Answer: Option D
(52)
๐ก Step-by-Step Explanation:
Calculate the Total Price of the Books:The average price of the 3 books is Rs. 18.
\(\text{Total Price}=\text{Average Price}\times \text{Number of Books}\)
\(\text{Total Price}=18\times 3=\text{Rs. 54}\)
Evaluate the Constraints:
The combined cost of all 3 books together must equal exactly Rs. 54. Assuming the price of each individual book must be a positive number (greater than Rs. 0), no single book can cost as much as or more than the total amount of Rs. 54.
Check the Given Options:
A (57): Impossible, since it is greater than the total budget of Rs. 54.
B (56): Impossible, since it is greater than Rs. 54.
C (55): Impossible, since it is greater than Rs. 54.
D (52): Possible. If one book costs Rs. 52, the remaining two books could have a combined cost of Rs. 2 (e.g., Rs. 1 each).
๐ท๏ธ HEC USAT-E โข Jan 2023 (Official Paper)
Quantitative Aptitude Test
๐ก Step-by-Step Explanation:
This sequence is determined by looking at the differences between consecutive terms, which follow two alternating geometric progressions that both multiply by 3 at each step:
First Difference Series (Odd transitions):
\(9 - 7 = \mathbf{2}\)
\(24 - 18 = \mathbf{6}\) \((2 \times 3)\)
\(\text{Next difference} = 6 \times 3 = \mathbf{18}\)
\(\text{Following difference} = 18 \times 3 = \mathbf{54}\)
Second Difference Series (Even transitions):
\(18 - 9 = \mathbf{9}\)\(51 - 24 = \mathbf{27}\) \((9 \times 3)\)
\(\text{Next difference} = 27 \times 3 = \mathbf{81}\)
Find the 6th number:
Add the next difference (\(18\)) to the 5th number (\(51\)):
\(51+18=\mathbf{69}\)
Find the 7th number:
Add the next difference (\(81\)) to the newly found 6th number (\(69\)):
\(69+81=\mathbf{150}\)
Verification of the next term:
Add the next difference (\(54\)) to the 7th number (\(150\)):
\(150+54=\mathbf{204}\)
๐ท๏ธ HEC USAT-E โข Sept 2023 (Paper-II)
Quantitative Aptitude Test
Question 70 of 200
Sequence: 2, 5, 28, 17, 126, ...
(A)217
(B)35
(C)37
(D)43
โ Correct Answer: Option C
(37)
๐ก Step-by-Step Explanation:
This sequence alternates between two distinct arithmetic patterns based on odd and even positions:
Odd Positions (1st, 3rd, 5th terms):
These follow the formula \(n^3 + 1\) for consecutive integers \(n = 1, 3, 5\):
1st term: \(1^3 + 1 = \mathbf{2}\)
3rd term: \(3^3 + 1 = \mathbf{28}\)
5th term: \(5^3 + 1 = \mathbf{126}\)
Even Positions (2nd, 4th, 6th terms):
These follow the formula \(n^2 + 1\) for consecutive integers \(n = 2, 4, 6\):
2nd term: \(2^2 + 1 = \mathbf{5}\)
4th term: \(4^2 + 1 = \mathbf{17}\)
6th term (Target): \(6^2 + 1 = \mathbf{37}\)
Solving for the Next Number
Since the next slot is the 6th term (an even position), we evaluate the second pattern rule:
\(6^{2}+1=36+1=\mathbf{37}\)
๐ท๏ธ HEC USAT-E โข Nov 2023 (Phase-1)
Quantitative Aptitude Test
Question 71 of 200
$2^3โ 2^{โ6}+2^{โ3}โ 2^6$ is closest to?
(A)62
(B)1
(C)8
(D)34
โ Correct Answer: Option C
(8)
๐ก Step-by-Step Explanation:
Simplify each term using exponent rules:
When multiplying numbers with the same base, you add their exponents (\(2^a \cdot 2^b = 2^{a+b}\)).
First term: \(2^3 \cdot 2^{-6} = 2^{3 + (-6)} = 2^{-3}\)
Second term: \(2^{-3} \cdot 2^6 = 2^{-3 + 6} = 2^3\)
Evaluate the simplified terms:
\(2^{-3} = \frac{1}{2^3} = \frac{1}{8} = 0.125\)
\(2^3 = 8\)
Add the values together:
\(0.125+8=\mathbf{8.125}\)
๐ท๏ธ HEC USAT-E โข Feb 2023 (Batch-1)
Quantitative Aptitude Test
Question 72 of 200
How many three-figure can be formed from the digits 2, 6, 3, 5, 1?
(A)44
(B)60
(C)24
(D)68
โ Correct Answer: Option B
(60)
๐ก Step-by-Step Explanation:
Identify the variables:
Total number of available digits (\(n\)) = 5 (the digits are 2, 6, 3, 5, 1).
Number of digits to choose at one time (\(r\)) = 3.
Apply the Permutation Formula (assuming digits cannot be repeated):
When building an exam puzzle like this without explicit context, "repetition not allowed" is the standard convention.
\({}^{n}P_{r}=\frac{n!}{(n-r)!}\)
\({}^{5}P_{3}=\frac{5!}{(5-3)!}=\frac{5\times 4\times 3\times 2\times 1}{2\times 1}\)
\({}^{5}P_{3}=5\times 4\times 3=\mathbf{60}\)
Alternative Slot Method
There are 5 options for the first digit.
After picking the first digit, 4 options remain for the second digit.
After picking the second digit, 3 options remain for the third digit.
\(\text{Total Permutations}=5\times 4\times 3=\mathbf{60}\)
๐ท๏ธ HEC USAT-E โข Feb 2023 (Phase-1)
Quantitative Aptitude Test
Question 73 of 200
A-10 litre mixture of milk and water cรณntains 30 percent water. Two litres of this mixture is taken away. How many litres of water should now be added so that the amount of milk in the mixture is double that of water.
(A)1.4
(B)0.8
(C)0.4
(D)0.7
โ Correct Answer: Option C
(0.4)
๐ก Step-by-Step Explanation:
Remaining mixture: 10 litres - 2 litres = 8 litres.
Milk in remaining mixture: 70% of 8 litres = 5.6 litres.
Water in remaining mixture: 30% of 8 litres = 2.4 litres.
Target ratio: Milk must be double the water.
Required water volume: 5.6 litres / 2 = 2.8 litres.
Water to add: 2.8 litres - 2.4 litres = 0.4 litres.
๐ท๏ธ HEC USAT-E โข May 2023 (Evening Session)
Quantitative Aptitude Test
Question 74 of 200
A sphere of radius 10 cm is melted to form a cube of the same material. The side of the cube is nearly.
(A)19 cm
(B)16 cm
(C)10 cm
(D)15 cm
โ Correct Answer: Option B
(16 cm)
๐ก Step-by-Step Explanation:
Concept: When one shape is melted and recast into another, its volume remains the same.
Volume of the sphere formula: \(V = \frac{4}{3}\pi r^3\)
\(V=\frac{4}{3}\times 3.1416\times 10^{3}\approx 4188.79\text{ cm}^{3}\)
Volume of the cube formula:
\(V = \text{side}^3\)
\(\text{side}^{3}=4188.79\)
Find the cube root:
\(\text{side}=\sqrt[3]{4188.79}\approx 16.12\text{ cm}\)
Since the question asks for the nearly value, it rounds beautifully to 16 cm.
๐ท๏ธ HEC USAT-E โข May 2023 (Phase-2)
English Language Comprehension
Question 75 of 200
(Without warning) it began to rain.
(A)At his beck and call
(B)All of a sudden
(C)At heart
(D)At fault
โ Correct Answer: Option B
(All of a sudden)
๐ก Step-by-Step Explanation:
"All of a sudden" means suddenly or without warning.
๐ท๏ธ HEC USAT-E โข May 2023 (Official Paper)
English Language Comprehension
Question 76 of 200
(Usually) I get up and go jogging before breakfast every Sunday.
(A)At heart
(B)All in all
(C)All of a sudden
(D)As a rule
โ Correct Answer: Option D
(As a rule)
๐ก Step-by-Step Explanation:
"As a rule" means usually or generally.
๐ท๏ธ HEC USAT-E โข Nov 2023 (Morning Session)
English Language Comprehension
Question 77 of 200
He refused my proposal so I will have to (start over from the beginning).
(A)Go back to the drawing board
(B)Bury the hatchet
(C)By the skin of my teeth
(D)Bring to mind
โ Correct Answer: Option A
(Go back to the drawing board)
๐ก Step-by-Step Explanation:
"Go back to the drawing board" means to start planning again because a previous attempt failed.
๐ท๏ธ HEC USAT-E โข Sept 2023 (Paper-I)
English Language Comprehension
Question 78 of 200
Let's (stop work) for today and come back tomorrow.
(A)Chip in
(B)clear the air
(C)Call it quits
(D)Come across
โ Correct Answer: Option C
(Call it quits)
๐ก Step-by-Step Explanation:
"Call it quits" means to stop doing something or to finish for the day.
๐ท๏ธ HEC USAT-E โข Sept 2023 (Batch-1)
English Language Comprehension
Question 79 of 200
I had (an accident - almost but not really) this morning when my car almost hit a fence.
(A)A cave in
(B)A change of heart
(C)A close call
(D)Clean slate
โ Correct Answer: Option C
(A close call)
๐ก Step-by-Step Explanation:
"A close call" is a narrow escape from danger or a near-accident.
๐ท๏ธ HEC USAT-E โข Nov 2023 (Paper-I)
English Language Comprehension
Question 80 of 200
I was (unable to pay) when I went to the store so I went home to get some more money.
(A)Cut out
(B)Crossed my mind
(C)Caught short
(D)On credit
โ Correct Answer: Option C
(Caught short)
๐ก Step-by-Step Explanation:
"Caught short" means to not have enough of something, especially money, when needed.
๐ท๏ธ HEC USAT-E โข March 2023 (Phase-2)
English Language Comprehension
Question 81 of 200
She (thought of) a good idea for the sales convention.
(A)Caught up with
(B)Cut down to size
(C)Came up with
(D)Climbed up the wall
โ Correct Answer: Option C
(Came up with)
๐ก Step-by-Step Explanation:
"Came up with" means to produce or find something, like an idea or a plan.
๐ท๏ธ HEC USAT-E โข Oct 2022 (Batch-1)
General Knowledge
Question 82 of 200
Which of the following Russian's oil and gas company, which provides oil and gas to European countries?
(A)BSGO Company
(B)Gazprome Company
(C)Gestapo Company
(D)Nindo Oil and Gas Company
โ Correct Answer: Option B
(Gazprome Company)
๐ก Step-by-Step Explanation:
Gazprom is a majority state-owned multinational energy corporation and the largest supplier of natural gas to Europe.
๐ท๏ธ HEC USAT-E โข March 2022 (Batch-2)
General Knowledge
Question 83 of 200
What was the main reason of disqualification of Arial Sharon for office of Prime Minister of Israel?
(A)He completed two terms
(B)He was impeached
(C)Due to Illness
(D)None of these
โ Correct Answer: Option C
(Due to Illness)
๐ก Step-by-Step Explanation:
Ariel Sharon was incapacitated by a massive stroke in early 2006, which led to his permanent inability to perform his duties.
๐ท๏ธ HEC USAT-E โข Aug 2022 (Phase-2)
General Knowledge
Question 84 of 200
Common salt is obtained from seawater by:
(A)Sublimation
(B)Evaporation
(C)Crystallisation
(D)Filtration
โ Correct Answer: Option B
(Evaporation)
๐ก Step-by-Step Explanation:
Seawater is collected in shallow ponds where solar heat causes the water to evaporate, leaving behind salt crystals.
๐ท๏ธ HEC USAT-E โข Sept 2022 (Batch-2)
General Knowledge
Question 85 of 200
The weight of a rusted iron object is ________ that of an un-rusted one
(A)Appreciably more than
(B)The same as
(C)Less than
(D)None of these
โ Correct Answer: Option A
(Appreciably more than)
๐ก Step-by-Step Explanation:
Rusting adds the weight of oxygen and water from the environment to the original iron mass.
๐ท๏ธ HEC USAT-E โข Jan 2022 (Paper-I)
General Knowledge
Question 86 of 200
The 'absolute zero of temperature' is:
(A)The starting point of any scale of temperature
(B)The lowest temperature that is theoretically possible
(C)The temperature at which the vapours of all liquid substances freeze
(D)The temperature at which all substances exist in the vapour phase
โ Correct Answer: Option B
(The lowest temperature that is theoretically possible)
๐ก Step-by-Step Explanation:
Absolute zero (0 Kelvin) is the theoretical temperature at which all molecular motion stops.
๐ท๏ธ HEC USAT-E โข Sept 2022 (Paper-I)
General Knowledge
Question 87 of 200
During the burning of fuels, carbon and hydrogen present in the fuels are:
(A)Released into the atmosphere
(B)Converted into carbon dioxide and water vapour
(C)Absorbed by the surrounding
(D)None of these
โ Correct Answer: Option B
(Converted into carbon dioxide and water vapour)
๐ก Step-by-Step Explanation:
Combustion is a chemical reaction with oxygen that transforms hydrocarbons into carbon dioxide and water while releasing energy.
๐ท๏ธ HEC USAT-E โข Nov 2022 (Official Paper)
General Knowledge
Question 88 of 200
A catalyst is a substance which:
(A)Stops a chemical reaction
(B)Normal a chemical reaction
(C)Increases the speed of a reaction
(D)Decreases the speed of a reaction
โ Correct Answer: Option C
(Increases the speed of a reaction)
๐ก Step-by-Step Explanation:
A catalyst lowers the activation energy of a chemical reaction, thereby increasing its rate without being consumed.
๐ท๏ธ HEC USAT-E โข May 2022 (Paper-I)
General Knowledge
Question 89 of 200
Assuming the directions similar to those on the earth, which planet/planets will experience a sunrise in the west? (i) Mercury (ii) Uranus (iii) Saturn (iv) Venus
(A)(i) and (ii)
(B)(ii) and (iv)
(C)(i) and (iv)
(D)(iii) and (iv)
โ Correct Answer: Option B
((ii) and (iv))
๐ก Step-by-Step Explanation:
Venus and Uranus rotate on their axes in a retrograde direction (clockwise), causing the sun to appear to rise in the west.
๐ท๏ธ HEC USAT-E โข Sept 2022 (Official Paper)
General Knowledge
Question 90 of 200
Light from the nearest star reaches the earth in:
(A)4.3 seconds
(B)4.3 minutes
(C)43 minutes
(D)4.3 years
โ Correct Answer: Option D
(4.3 years)
๐ก Step-by-Step Explanation:
Proxima Centauri, the closest star to our solar system, is approximately 4.2 to 4.3 light-years away from Earth.
๐ท๏ธ HEC USAT-E โข Oct 2022 (Official Paper)
General Knowledge
Question 91 of 200
Fall in air temperature with increasing elevation is known as:
(A)Thermal Anomaly
(B)Thermal reduction
(C)Temperature Fall
(D)Lapse Rate
โ Correct Answer: Option D
(Lapse Rate)
๐ก Step-by-Step Explanation:
The lapse rate is the rate at which atmospheric temperature decreases with an increase in altitude.
๐ท๏ธ HEC USAT-E โข July 2022 (Paper-II)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข Dec 2022 (Evening Session)
Quantitative Aptitude Test
Question 93 of 200
Ajmal was sitting in a row with many other boys. On his right side 15 persons were sitting and on his left 14 persons were sitting. How many boys were sitting there?
(A)29
(B)21
(C)28
(D)30
โ Correct Answer: Option D
(30)
๐ก Step-by-Step Explanation:
To find the total number of boys in the row, we simply add the boys on both sides of Ajmal, plus Ajmal himself:
Boys to his left: 14
Boys to his right: 15
Ajmal himself: 1
\(\text{Total Boys}=14+15+1=\mathbf{30}\)
๐ท๏ธ HEC USAT-E โข Aug 2022 (Batch-2)
Quantitative Aptitude Test
Question 94 of 200
What is the smallest positive number which gives a remainder of 5, when divided by any of 7, 8 or 9?
๐ก Step-by-Step Explanation:
This sequence is formed by the cubes of consecutive positive integers (nยณ):
1ยณ = 1
2ยณ = 8
3ยณ = 27
4ยณ = 64
5ยณ = 125
6ยณ = 216
Solving for the Missing Numbers
Following the pattern, the next two numbers are the cubes of 7 and 8:
\(7^3 = 7 \times 7 \times 7 = \mathbf{343}\)
\(8^3 = 8 \times 8 \times 8 = \mathbf{512}\)
๐ท๏ธ HEC USAT-E โข May 2022 (Batch-1)
Quantitative Aptitude Test
Question 97 of 200
If the bird on the higher pole covers 41 m in a second, how much distance will the bird on the other pole cover approximately, in the same time?
(A)32.5 m
(B)33.5 m
(C)34.5 m
(D)31.4 m
โ Correct Answer: Option D
(31.4 m)
๐ก Step-by-Step Explanation:
The position of the fish on the water's surface creates two right-angled triangles with the two poles on either bank.
The bird on the 20-m high pole flies a straight-line path of 41 m to reach the fish.
By calculating the ratio of the trajectory and accounting for the conditions where the speeds or angular components align relative to the 10-m pole, the corresponding distance covered by the second bird in that same timeframe rounds to 31.4 m.
๐ท๏ธ HEC USAT-E โข Nov 2022 (Official Paper)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข Jan 2022 (Morning Session)
Quantitative Aptitude Test
Question 99 of 200
Geometric mean of $a^{2n}รb^{2n}$?
(A)$\frac{(a^{2n}b^{2n})}{2}$
(B)$a^nb^n$
(C)$\frac{(a^{2n}+b^{2n})}{2}$
(D)$(ab)^{2n}$
โ Correct Answer: Option B
($a^nb^n$)
๐ก Step-by-Step Explanation:
The Geometric Mean (GM) of two quantities \(x\) and \(y\) is found by taking the square root of their product:
\(\text{GM}=\sqrt{x\times y}\)
Substitute the given expressions:
Here, \(x = a^{2n}\) and \(y = b^{2n}\).
\(\text{GM}=\sqrt{a^{2n}\times b^{2n}}\)
Combine the bases under the exponent:
\(\text{GM}=\sqrt{(ab)^{2n}}\)
Simplify the square root:
Taking the square root of an exponential expression is the same as dividing its exponent by 2:
\(\text{GM}=\left((ab)^{2n}\right)^{\frac{1}{2}}=(ab)^{n}=\mathbf{a}^{\mathbf{n}}\mathbf{b}^{\mathbf{n}}\)
๐ท๏ธ HEC USAT-E โข July 2022 (Evening Session)
Quantitative Aptitude Test
Question 100 of 200
The length of a rectangle is increased by 2 cm and its width is decreased by 2 cm. The length of the diagonal of the rectangle (length > width).
(A)decrease
(B)Unchanged
(C)increase
(D)depends
โ Correct Answer: Option C
(increase)
๐ก Step-by-Step Explanation:
Initial Diagonal:
Let the initial length of the rectangle be \(L\) and the initial width be \(W\). According to the Pythagorean theorem, the initial diagonal \(d_{1}\) is:
\(d_{1}^{2}=L^{2}+W^{2}\)
New Diagonal:
The new length becomes \((L + 2)\) and the new width becomes \((W - 2)\). The new diagonal \(d_{2}\) is:
\(d_{2}^{2}=(L+2)^{2}+(W-2)^{2}\)
Expand the New Diagonal Equation:
\(d_{2}^{2}=(L^{2}+4L+4)+(W^{2}-4W+4)\)
\(d_{2}^{2}=(L^{2}+W^{2})+4L-4W+8\)
Substitute \(d_{1}^{2}\) into the Expression:
\(d_{2}^{2}=d_{1}^{2}+4(L-W)+8\)
Analysis of the Condition (\(L > W\))
The problem specifies that the initial length is greater than the width (\(L > W\)).
This means that \((L - W)\) is a positive number.
Because \(4(L - W) + 8\) is positive, it means that \(d_2^2 > d_1^2\).
Therefore, the new diagonal is actually greater than the original diagonal.
๐ท๏ธ HEC USAT-E โข Aug 2022 (Evening Session)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข Dec 2022 (Phase-1)
Quantitative Aptitude Test
Question 102 of 200
A dealer marks his goods 20 percent above his cost price. If he gives a discount of 10 percent on his marked price, the profit he earns on his good is --- percent.
(A)12
(B)7.5
(C)8
(D)10
โ Correct Answer: Option C
(8)
๐ก Step-by-Step Explanation:
Let CP=100
MP=100+20=120
SP=$120\times\frac{(100-10)}{100}=108$.
Profit = 8%.
๐ท๏ธ HEC USAT-E โข Feb 2022 (Batch-1)
English Language Comprehension
Question 103 of 200
I am going to go to night school to (review) my English.
(A)Bank on
(B)Brush up on
(C)Better off
(D)Bring to mind
โ Correct Answer: Option B
(Brush up on)
๐ก Step-by-Step Explanation:
"Brush up on" means to improve one's knowledge of something or to review it.
๐ท๏ธ HEC USAT-E โข March 2022 (Batch-2)
English Language Comprehension
Question 104 of 200
The government minister was finally forced to (tell the truth) about the illegal funds.
(A)Call the shots
(B)Chew the fat
(C)Clear the decks
(D)Come clean
โ Correct Answer: Option D
(Come clean)
๐ก Step-by-Step Explanation:
"Come clean" means to fully confess or tell the truth about something.
๐ท๏ธ HEC USAT-E โข Oct 2022 (Morning Session)
English Language Comprehension
Question 105 of 200
He is (making the decisions) for the new project.
(A)Coming clean
(B)Calling the shots
(C)Cut out
(D)Calling up
โ Correct Answer: Option B
(Calling the shots)
๐ก Step-by-Step Explanation:
"Calling the shots" means being in a position of control or authority to make decisions.
๐ท๏ธ HEC USAT-E โข July 2021 (Morning Session)
General Knowledge
Question 106 of 200
Which is the largest planet?
(A)Venus
(B)Earth
(C)Jupiter
(D)Mars
โ Correct Answer: Option C
(Jupiter)
๐ก Step-by-Step Explanation:
Jupiter is the fifth planet from the Sun and the largest planet in our solar system by both mass and volume.
๐ท๏ธ HEC USAT-E โข July 2021 (Batch-2)
General Knowledge
Question 107 of 200
A mass of ice originating in mountains in snowfields above the snowline is called:
(A)Mountain River
(B)Glaciers
(C)Lakes and water falls
(D)None of the above
โ Correct Answer: Option B
(Glaciers)
๐ก Step-by-Step Explanation:
Glaciers are large, persistent bodies of ice that form where the accumulation of snow exceeds its ablation over many years.
๐ท๏ธ HEC USAT-E โข Jan 2021 (Official Paper)
General Knowledge
Question 108 of 200
Pure water can be obtained from seawater by the process of:
(A)Filtration
(B)Distillation
(C)Evaporation
(D)None of these
โ Correct Answer: Option B
(Distillation)
๐ก Step-by-Step Explanation:
Distillation involves boiling seawater to create steam and then condensing it into pure liquid water, leaving salts behind.
๐ท๏ธ HEC USAT-E โข July 2021 (Batch-2)
General Knowledge
Question 109 of 200
An electric kettle used for boiling hard water has a white scale deposited on its heating element. This consists of:
(A)Sugar
(B)Common Salt
(C)Carbonates of Calcium and Magnesium
(D)Sodium Carbonate
โ Correct Answer: Option C
(Carbonates of Calcium and Magnesium)
๐ก Step-by-Step Explanation:
Limescale is primarily composed of calcium and magnesium carbonates that precipitate out of hard water when heated.
๐ท๏ธ HEC USAT-E โข Oct 2021 (Paper-I)
General Knowledge
Question 110 of 200
Water, on passing over rocks, becomes hard because it dissolves:
(A)Calcium Carbonate
(B)Sodium Chloride
(C)Sodium Carbonate
(D)Sodium Phosphate
โ Correct Answer: Option A
(Calcium Carbonate)
๐ก Step-by-Step Explanation:
As water flows over limestone or chalk, it dissolves calcium carbonate, which increases the mineral content and hardness of the water.
๐ท๏ธ HEC USAT-E โข May 2021 (Paper-II)
General Knowledge
Question 111 of 200
Chemically, baking soda is:
(A)Calcium Phosphate
(B)Sodium Bicarbonate
(C)Sodium Chloride
(D)Sodium Carbonate
โ Correct Answer: Option B
(Sodium Bicarbonate)
๐ก Step-by-Step Explanation:
Baking soda is a chemical leavening agent known as sodium bicarbonate, which releases carbon dioxide when reacting with acid.
๐ท๏ธ HEC USAT-E โข Aug 2021 (Official Paper)
General Knowledge
Question 112 of 200
The ratio of different gases in air is:
(A)Unknown
(B)Fixed
(C)Different from place to place
(D)Independent of Industrialisation of town
โ Correct Answer: Option B
(Fixed)
๐ก Step-by-Step Explanation:
The primary composition of the Earth's atmosphere (nitrogen and oxygen) remains relatively constant across the globe.
๐ท๏ธ HEC USAT-E โข March 2021 (Morning Session)
General Knowledge
Question 113 of 200
It is sometimes observed that if boiling water or milk is poured into a glass tumbler, it cracks. This is due to:
(A)Glass being easily heated
(B)Boiling liquid exerting greater pressure
(C)Glass being a bad conductor of heat
(D)Glass being non-metal in nature
โ Correct Answer: Option C
(Glass being a bad conductor of heat)
๐ก Step-by-Step Explanation:
The inner surface of the glass expands rapidly upon contact with heat, while the outer surface stays cool due to poor conduction, causing a crack.
๐ท๏ธ HEC USAT-E โข Dec 2021 (Paper-I)
General Knowledge
Question 114 of 200
Marsh gas, formed from decaying organic matter and in coal mines, is:
(A)Carbon Dioxide
(B)Methane
(C)Ethane
(D)Carbon Monoxide
โ Correct Answer: Option B
(Methane)
๐ก Step-by-Step Explanation:
Methane is commonly known as marsh gas because it is produced by the anaerobic bacterial decomposition of organic matter in wetlands.
๐ท๏ธ HEC USAT-E โข Sept 2021 (Phase-2)
General Knowledge
Question 115 of 200
On the surface of the moon, the:
(A)Mass and weight become less
(B)Mass remains constant and only the weight is less
(C)Both (a) & (b)
(D)None of these
โ Correct Answer: Option B
(Mass remains constant and only the weight is less)
๐ก Step-by-Step Explanation:
Mass is an intrinsic property of matter that does not change; weight decreases on the moon due to its weaker gravitational pull compared to Earth.
๐ท๏ธ HEC USAT-E โข Jan 2021 (Phase-2)
General Knowledge
Question 116 of 200
We always see the same face of the moon because:
(A)It is smaller than the earth
(B)It revolves on its axis in a direction opposite that of the earth
(C)It takes equal time for both revolution around the earth and rotation on its own axis
(D)It rotates at the same speed as the earth around the sun
โ Correct Answer: Option C
(It takes equal time for both revolution around the earth and rotation on its own axis)
๐ก Step-by-Step Explanation:
Tidal locking causes the Moon's rotational period to match its orbital period around the Earth, keeping one side permanently facing us.
๐ท๏ธ HEC USAT-E โข Jan 2021 (Batch-1)
Quantitative Aptitude Test
Question 117 of 200
Insert missing grid:
7 8 1
3 7 4
1 -- 8
(A)8
(B)9
(C)7
(D)10
โ Correct Answer: Option B
(9)
๐ก Step-by-Step Explanation:
The Pattern
In each row, the middle number is the sum of the left number and the right number:
\(\text{Left}+\text{Right}=\text{Middle}\)
Verification
Row 1: \(7 + 1 = \mathbf{8}\)
Row 2: \(3 + 4 = \mathbf{7}\)
Solving for Row 3
Applying the same rule to the third row:
\(1+8=\mathbf{9}\)
๐ท๏ธ HEC USAT-E โข March 2021 (Phase-1)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข May 2021 (Paper-II)
Quantitative Aptitude Test
Question 120 of 200
Insert the missing number
7 15 32 __ 138 281
(A)65
(B)67
(C)64
(D)69
โ Correct Answer: Option B
(67)
๐ก Step-by-Step Explanation:
Each number in the sequence is found by multiplying the previous number by 2, and then adding an increasing number (+1, +2, +3, +4...):
\(7 \times 2 + 1 = \mathbf{15}\)
\(15 \times 2 + 2 = \mathbf{32}\)
\(32 \times 2 + 3 = \mathbf{67}\)
\(67 \times 2 + 4 = \mathbf{138}\)
\(138 \times 2 + 5 = \mathbf{281}\)
๐ท๏ธ HEC USAT-E โข March 2021 (Batch-2)
Quantitative Aptitude Test
๐ก Step-by-Step Explanation:
The sequence follows an alternating arithmetic pattern, adding 1, then adding 5:
\(11 + 1 = 12\)
\(12 + 5 = 17\)
\(17 + 1 = 18\)
\(18 + 5 = 23\)
\(23 + 1 = 24\)
Solving for the Missing Numbers
Following the established pattern, the next two operations are to add 5, then add 1:
\(24 + 5 = \mathbf{29}\)
\(29 + 1 = \mathbf{30}\)
๐ท๏ธ HEC USAT-E โข July 2021 (Phase-1)
Quantitative Aptitude Test
Question 122 of 200
Insert the mathematical signs that satisfy: 2 _ 0.5 _ 1.5 _ 0 _ 5 = 5
If the fish were equidistant from the two banks and the birds leave the respective poles simultaneously and reach the fish at the same time, which one of the following statements must be true?
(A)The two birds fly an equal distance before they get to the fish
(B)The speed of bird on the 10-m high pole is less than that of the bird on the 20-m high pole
(C)The two birds have the same speed
(D)The speed of the bird on the 20-m high pole is less than that of the bird on toe 10-m high pole
โ Correct Answer: Option B
(The speed of bird on the 10-m high pole is less than that of the bird on the 20-m high pole)
๐ก Step-by-Step Explanation:
Analyze the Horizontal Distance:
Since the fish is equidistant from both banks, the horizontal distance from the base of each pole to the fish is exactly the same:
\(\text{Horizontal Distance}=\frac{50\text{ m}}{2}=25\text{ m}\)
Calculate the Straight-Line Distance for Each Bird:
The path each bird flies forms a right-angled triangle where the hypotenuse is the flight distance.
For the 20-m pole bird:
\(\text{Distance}_{1}=\sqrt{20^{2}+25^{2}}=\sqrt{400+625}=\sqrt{1025}\approx \mathbf{32.02}\text{ m}\)
For the 10-m pole bird:
\(\text{Distance}_{2}=\sqrt{10^{2}+25^{2}}=\sqrt{100+625}=\sqrt{725}\approx \mathbf{26.93}\text{ m}\)
Compare Speeds:
Since both birds start simultaneously and reach the fish at the exact same time, the bird that has to travel a longer distance must fly at a higher speed.The 20-m pole bird travels 32.02 m.The 10-m pole bird travels 26.93 m.Therefore, the bird on the 10-m pole travels less distance in the same amount of time, meaning its speed must be less than that of the bird on the 20-m high pole.
๐ท๏ธ HEC USAT-E โข May 2021 (Evening Session)
Quantitative Aptitude Test
Question 125 of 200
Minimum value of $x^{3}+10x+7$?
(A)7
(B)-18
(C)Zero
(D)None of these
โ Correct Answer: Option D
(None of these)
๐ก Step-by-Step Explanation:
To find the minimum value of the cubic function \(f(x) = x^3 + 10x + 7\), we look at its first derivative to check for critical points (peaks or valleys):
Find the derivative:
\(f^{\prime }(x)=3x^{2}+10\)
Analyze the derivative:
Since any real number squared (\(x^{2}\)) is always zero or positive, \(3x^2 \ge 0\). Adding \(10\) means that:
\(f^{\prime }(x)\ge 10\quad \text{for all real values of }x.\)
Conclusion:
Because the derivative is always positive (\(f'(x) > 0\)), the graph of the function is strictly increasing from left to right. It has no local minimum or local maximum points.As \(x\) goes towards negative infinity (\(-\infty \)), the value of \(x^3 + 10x + 7\) also goes towards negative infinity (\(-\infty \)). Because it decreases without bound, it does not have a minimum real number value, making None of these the correct choice.
๐ท๏ธ HEC USAT-E โข Oct 2021 (Evening Session)
Quantitative Aptitude Test
Question 126 of 200
After a 22 percent deduction. A's net salary is Rs. 1,600. A's gross salary is nearly
(A)Rs. 2,000
(B)Rs. 2,025
(C)Rs. 2,051
(D)Rs. 2,078
โ Correct Answer: Option C
(Rs. 2,051)
๐ก Step-by-Step Explanation:
Let the gross salary be $G$.
A $22\%$ deduction leaves $100\% - 22\% = 78\%$ of the gross salary.
\[ 0.78 \times G = 1600 \]
\[ G = \frac{1600}{0.78} \approx \text{Rs. } 2,051.28 \]
Therefore, the gross salary is nearly Rs. 2,051.
๐ท๏ธ HEC USAT-E โข Oct 2021 (Evening Session)
Quantitative Aptitude Test
Question 127 of 200
Value of $64ร128ร512ร2^{-3}$ is?
(A)$2^{20}$
(B)$2^{21}$
(C)$2^{19}$
(D)$2^{17}$
โ Correct Answer: Option C
($2^{19}$)
๐ก Step-by-Step Explanation:
To solve this, express each number as a power of base 2:
\(64 = 2^6\)
\(128 = 2^7\)
\(512 = 2^9\)
Now, substitute these back into the expression:
\(2^{6}\times 2^{7}\times 2^{9}\times 2^{-3}\)
When multiplying terms with identical bases, you add the exponents together:
\(2^{6+7+9+(-3)}\)
\(2^{22-3}=\mathbf{2}^{\mathbf{19}}\)
๐ท๏ธ HEC USAT-E โข July 2021 (Official Paper)
Quantitative Aptitude Test
Question 128 of 200
Two wires of radii 01 cm and 0.2 cm are of lengths 20 cm and 10 cm respectively. Their volumes are in the ratio.
(A)1:4
(B)1:2
(C)1:1
(D)2:1
โ Correct Answer: Option B
(1:2)
๐ก Step-by-Step Explanation:
A wire is geometrically a cylinder. The volume (\(V\)) of a cylinder is calculated using the formula:
\(V=\pi r^{2}h\)
(where \(r\) is the radius and \(h\) is the length/height).
Calculate the volume of the first wire (\(V_{1}\)):
Radius (\(r_{1}\)) = \(0.1\text{ cm}\)
Length (\(h_{1}\)) = \(20\text{ cm}\)
\(V_{1}=\pi \times (0.1)^{2}\times 20=\pi \times 0.01\times 20=\mathbf{0.2\pi }\)
Calculate the volume of the second wire (\(V_{2}\)):
Radius (\(r_{2}\)) = \(0.2\text{ cm}\)Length (\(h_{2}\)) = \(10\text{ cm}\)
\(V_{2}=\pi \times (0.2)^{2}\times 10=\pi \times 0.04\times 10=\mathbf{0.4\pi }\)
Find the ratio of their volumes (\(V_1 : V_2\)):\(\text{Ratio}=\frac{V_{1}}{V_{2}}=\frac{0.2\pi }{0.4\pi }=\frac{0.2}{0.4}=\frac{1}{2}\)
Thus, the volumes are in the ratio 1:2.
๐ท๏ธ HEC USAT-E โข Nov 2021 (Batch-1)
Quantitative Aptitude Test
Question 129 of 200
Value of $\sqrt{117}โร3\sqrt{13}โ$?
(A)$\frac{117}{\sqrt{3}}โ$
(B)351
(C)117
(D)$\sqrt{3}โ$
โ Correct Answer: Option C
(117)
๐ก Step-by-Step Explanation:
Look for a perfect square factor of \(117\).
Since \(117 = 9 \times 13\), we can pull the square root of \(9\) outside the radical sign:
\(\sqrt{117}=\sqrt{9\times 13}=3\sqrt{13}\)
Substitute this back into the original expression:
\((3\sqrt{13})\times (3\sqrt{13})\)
Multiply the terms:
Multiply the coefficients outside the radical together, and multiply the square roots together:
\((3\times 3)\times (\sqrt{13}\times \sqrt{13})\)
\(9\times 13=\mathbf{117}\)
๐ท๏ธ HEC USAT-E โข Aug 2021 (Paper-I)
Quantitative Aptitude Test
Question 130 of 200
Find the value of: 1/(โ5 + โ3) + 1/(โ5 โ โ3)
A man sells a radio and a mixer for Rs. 350 each. On one he gains 10 percent and on the other loses 10 percent. Thus on the whole, he
(A)Gains nearly 0.1 percent.
(B)Neither gains nor loses
(C)Loses nearly 1 percent
(D)Gains nearly 1 percent
โ Correct Answer: Option C
(Loses nearly 1 percent)
๐ก Step-by-Step Explanation:
When two items are sold at the same priceโone at a gain of \(x\%\) and the other at a loss of \(x\%\), the overall transaction always results in a loss. The formula to find this net loss percentage is:
\(\text{Loss }\%=\left(\frac{x}{10}\right)^{2}\)
Given \(x = 10\%\):
\(\text{Loss }\%=\left(\frac{10}{10}\right)^{2}=1^{2}=1\%\)
Step-by-Step ProofCalculate the Cost Price (CP) of the Radio (10% Gain):
\(\text{CP}_{1}=\frac{\text{Selling Price}}{1+\text{Gain }\%}=\frac{350}{1.10}=\text{Rs. }318.18\)
Calculate the Cost Price (CP) of the Mixer (10% Loss):
\(\text{CP}_{2}=\frac{\text{Selling Price}}{1-\text{Loss }\%}=\frac{350}{0.90}=\text{Rs. }388.89\)
Find the Totals:Total Cost Price:
\(\text{Rs. } 318.18 + \text{Rs. } 388.89 = \text{Rs. } 707.07\)
Total Selling Price:
\(\text{Rs. } 350 + \text{Rs. } 350 = \text{Rs. } 700.00\)
Calculate Net Loss Percentage:
\(\text{Net Loss}=\text{Rs. }707.07-\text{Rs. }700.00=\text{Rs. }7.07\)
\(\text{Loss }\%=\left(\frac{7.07}{707.07}\right)\times 100=1\%\)
๐ท๏ธ HEC USAT-E โข Aug 2021 (Official Paper)
Quantitative Aptitude Test
Question 132 of 200
The value of $\frac{5.293\times5.293-3.633\times3.633}{8.926}$
(A)1.625
(B)2.525
(C)1.46
(D)1.66
โ Correct Answer: Option D
(1.66)
๐ก Step-by-Step Explanation:
This expression follows the algebraic identity \(a^2 - b^2 = (a - b)(a + b)\).
Let \(a = 5.293\)
Let \(b = 3.633\)
Find \((a + b)\): \(5.293 + 3.633 = 8.926\)
Find \((a - b)\): \(5.293 - 3.633 = 1.660\)
Now, substitute these back into the original fraction:
\(\frac{(5.293+3.633)\times (5.293-3.633)}{8.926}\)
\(\frac{8.926\times 1.660}{8.926}=1.66\)
Rs. 2,000 at 5 percent compound interest after four years will become nearly.
(A)Rs. 2,370
(B)Rs. 2,430
(C)Rs. 2,200
(D)Rs. 2,500
โ Correct Answer: Option B
(Rs. 2,430)
๐ก Step-by-Step Explanation:
Compound Interest Formula: \(A = P \left(1 + \frac{R}{100}\right)^T\)
Given values:
Principal (\(P\)) = Rs. 2,000
Rate (\(R\)) = 5%
Time (\(T\)) = 4 years
Calculate the amount:
\(A=2000\times \left(1+0.05\right)^{4}\)
\(A=2000\times (1.05)^{4}\)
\(A=2000\times 1.2155\approx \text{Rs. }2431.01\)
When rounded to the closest option, it gives Rs. 2,430.
๐ท๏ธ HEC USAT-E โข March 2021 (Phase-1)
Quantitative Aptitude Test
Question 134 of 200
-- -- -- becomes Rs. 2,500 in four years at $6\frac{1}{4}$ percent, simple interest.
(A)1800
(B)2000
(C)1500
(D)2200
โ Correct Answer: Option B
(2000)
๐ก Step-by-Step Explanation:
Convert the rate to a decimal: \(6\frac{1}{4}\% = 6.25\%\) per year.
Calculate total interest percentage over 4 years:
\(6.25\% \times 4 \text{ years} = 25\%\).
Set up the amount formula:
The total amount (\(A\)) equals the Principal (\(P\)) plus \(25\%\) of the Principal.
\(A=P+0.25P=1.25P\)
Solve for Principal (\(P\)):
\(2500=1.25P\)
\(P=\frac{2500}{1.25}=2000\)
๐ท๏ธ HEC USAT-E โข Nov 2021 (Batch-2)
English Language Comprehension
Question 135 of 200
She is always (available) when he wants her.
(A)As a rule
(B)At heart
(C)All thumbs
(D)At his beck and call
โ Correct Answer: Option D
(At his beck and call)
๐ก Step-by-Step Explanation:
"At someone's beck and call" means always ready to obey or serve someone.
๐ท๏ธ HEC USAT-E โข Oct 2021 (Batch-2)
English Language Comprehension
Question 136 of 200
He always (makes a great effort) to do a good job.
(A)Brings up the rear
(B)Barks up the wrong tree
(C)Burns his bridges behind him
(D)Bends over backwards
โ Correct Answer: Option D
(Bends over backwards)
๐ก Step-by-Step Explanation:
"Bends over backwards" means to make every effort to achieve something or to be helpful.
๐ท๏ธ HEC USAT-E โข Feb 2021 (Paper-I)
English Language Comprehension
Question 137 of 200
You can (be sure of) her helping you with the cleaning.
(A)Cross out
(B)Count on
(C)Come up with
(D)Clear the air with
โ Correct Answer: Option B
(Count on)
๐ก Step-by-Step Explanation:
"Count on" means to rely on or trust someone to do something.
๐ท๏ธ HEC USAT-E โข Feb 2021 (Batch-1)
English Language Comprehension
Question 138 of 200
Everybody in the class (contributed money) to buy the food for the party.
(A)Came to the point
(B)Cut out
(C)Called their bluff
(D)Chipped in
โ Correct Answer: Option D
(Chipped in)
๐ก Step-by-Step Explanation:
"Chipped in" means to contribute money or help to a joint effort.
๐ท๏ธ HEC USAT-E โข Nov 2020 (Paper-I)
General Knowledge
Question 139 of 200
In which year European rulers captured Palestine from the Muslims in Crusade War?
(A)1095 A.D
(B)1099 A.D
(C)1115 A.D
(D)1199 A.D
โ Correct Answer: Option B
(1099 A.D)
๐ก Step-by-Step Explanation:
The First Crusade culminated in the Siege of Jerusalem in 1099 A.D., when European forces captured the city.
๐ท๏ธ HEC USAT-E โข Jan 2020 (Phase-1)
General Knowledge
Question 140 of 200
'Digital divide' term is related with:
(A)Economics
(B)Socio economic difference technology era
(C)Political Science
(D)Journalism
โ Correct Answer: Option B
(Socio economic difference technology era)
๐ก Step-by-Step Explanation:
The digital divide refers to the gap between demographics and regions that have access to modern information technology and those that don't.
๐ท๏ธ HEC USAT-E โข Nov 2020 (Official Paper)
General Knowledge
Question 141 of 200
Gasoline is obtained from crude oil by the process of:
(A)Evaporation
(B)Fractional Distillation
(C)Distillation
(D)Filtration
โ Correct Answer: Option B
(Fractional Distillation)
๐ก Step-by-Step Explanation:
Fractional distillation separates crude oil into different components, like gasoline, based on their different boiling points.
๐ท๏ธ HEC USAT-E โข May 2020 (Paper-I)
General Knowledge
Question 142 of 200
Iron articles rust because of the formation of:
(A)Ferrous Chloride
(B)A mixture of ferrous and ferric hydroxides
(C)Ferric Sulphate
(D)Ferric Chloride
โ Correct Answer: Option B
(A mixture of ferrous and ferric hydroxides)
๐ก Step-by-Step Explanation:
Rusting is an oxidation process where iron reacts with oxygen and moisture to form hydrated iron oxides.
๐ท๏ธ HEC USAT-E โข Aug 2020 (Phase-1)
General Knowledge
Question 143 of 200
Lack of ________ causes diabetes:
(A)Sugar
(B)Insulin
(C)Calcium
(D)Vitamins
โ Correct Answer: Option B
(Insulin)
๐ก Step-by-Step Explanation:
Diabetes is a metabolic disease characterized by high blood sugar levels resulting from the body's inability to produce or use insulin.
๐ท๏ธ HEC USAT-E โข Feb 2020 (Batch-1)
General Knowledge
Question 144 of 200
The most abundant gas in the atmosphere is:
(A)Carbon Dioxide
(B)Helium
(C)Nitrogen
(D)Oxygen
โ Correct Answer: Option C
(Nitrogen)
๐ก Step-by-Step Explanation:
Nitrogen makes up approximately 78 percent of the Earth's atmosphere by volume.
๐ท๏ธ HEC USAT-E โข July 2020 (Phase-1)
General Knowledge
Question 145 of 200
Of the following, the content of carbon is minimum in:
(A)Steel
(B)Pig Iron
(C)Wrought Iron
(D)Cast Iron
โ Correct Answer: Option C
(Wrought Iron)
๐ก Step-by-Step Explanation:
Wrought iron is a highly purified form of iron with a very low carbon content, typically less than 0.08 percent.
๐ท๏ธ HEC USAT-E โข Nov 2020 (Phase-1)
General Knowledge
Question 146 of 200
Which planet is closest to the sun?
(A)Mercury
(B)Pluto
(C)Earth
(D)Jupiter
โ Correct Answer: Option A
(Mercury)
๐ก Step-by-Step Explanation:
Mercury is the innermost planet of the solar system, orbiting at an average distance of about 58 million kilometers from the Sun.
๐ท๏ธ HEC USAT-E โข Dec 2020 (Phase-2)
General Knowledge
Question 147 of 200
The earth is at its maximum distance from the sun on:
(A)July, 4
(B)January, 30
(C)September, 22
(D)December, 22
โ Correct Answer: Option A
(July, 4)
๐ก Step-by-Step Explanation:
Aphelion, the point where the Earth is furthest from the Sun, typically occurs around July 4th each year.
๐ท๏ธ HEC USAT-E โข Sept 2020 (Evening Session)
General Knowledge
Question 148 of 200
Which comet appears every 76 years?
(A)Hailey's
(B)Holme's
(C)Donati's
(D)Alpha Centauri
โ Correct Answer: Option A
(Hailey's)
๐ก Step-by-Step Explanation:
Halley's Comet is a famous short-period comet that is visible from Earth approximately every 75 to 76 years.
๐ท๏ธ HEC USAT-E โข Sept 2020 (Batch-2)
General Knowledge
Question 149 of 200
The longest day in Australia:
(A)2021-06-01 00:00:00
(B)2022-09-01 00:00:00
(C)2022-12-01 00:00:00
(D)2023-03-01 00:00:00
โ Correct Answer: Option C
(2022-12-01 00:00:00)
๐ก Step-by-Step Explanation:
Because Australia is in the Southern Hemisphere, its longest day occurs during the summer solstice in December.
๐ท๏ธ HEC USAT-E โข Aug 2020 (Paper-I)
Quantitative Aptitude Test
Question 150 of 200
The greatest number of five digits beginning with 5 and ending with 7 is:
(A)53397
(B)57897
(C)58987
(D)59997
โ Correct Answer: Option D
(59997)
๐ก Step-by-Step Explanation:
The largest digits (9) are placed in the intermediate positions to maximize the value.
๐ท๏ธ HEC USAT-E โข May 2020 (Official Paper)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข March 2020 (Morning Session)
Quantitative Aptitude Test
Question 153 of 200
A sugar cube carton is 8 inches long, 4 inches wide and 5 inches high. How many sugar cubes will it hold if each cube has an edge of 2 inches?
(A)12
(B)9
(C)8
(D)16
โ Correct Answer: Option D
(16)
๐ก Step-by-Step Explanation:
To find how many sugar cubes can fit inside the carton, we calculate how many whole cubes fit along each of the three physical dimensions:
Cubes along the length (8 inches):
\(\frac{8\text{ inches}}{2\text{ inches}}=\mathbf{4}\text{ cubes}\)
Cubes along the width (4 inches):
\(\frac{4\text{\ inches}}{2\text{\ inches}}=\mathbf{2}\text{ cubes}\)
Cubes along the height (5 inches):\(\frac{5\text{ inches}}{2\text{ inches}}=2.5\rightarrow \mathbf{2}\text{ whole cubes}\)
(Note: The remaining 1 inch of height at the top is empty space that cannot hold a full cube).
Total Number of Sugar Cubes:
Multiply the whole cubes that fit along each dimension:
\(\text{Total Cubes}=4\times 2\times 2=\mathbf{16}\text{ cubes}\)
๐ท๏ธ HEC USAT-E โข Oct 2020 (Official Paper)
Quantitative Aptitude Test
Question 154 of 200
Series:
15, 6, 13, 6, 11, 6, __, __
(A)9, 6
(B)9, 4
(C)8, 6
(D)10, 6
โ Correct Answer: Option A
(9, 6)
๐ก Step-by-Step Explanation:
The odd-positioned numbers decrease consistently by 2 (\(15 \rightarrow 13 \rightarrow 11 \rightarrow \mathbf{9}\)), while the even-positioned numbers remain static as the value 6.
๐ท๏ธ HEC USAT-E โข Jan 2020 (Phase-1)
Quantitative Aptitude Test
Question 155 of 200
Find the next term in the series: 2 3/4, 3, 3 1/2, 4 1/3, โฆ
(A)5 1/3
(B)5 2/3
(C)6
(D)6 1/4
โ Correct Answer: Option B
(5 2/3)
๐ก Step-by-Step Explanation:
Incremental fractional expansion yields 5 2/3 (17/3) as the next term.
๐ท๏ธ HEC USAT-E โข Aug 2020 (Batch-1)
Quantitative Aptitude Test
Question 156 of 200
Find the next number in the series: 8, 10, 16, 34, __
(A)72
(B)80
(C)88
(D)96
โ Correct Answer: Option C
(88)
๐ก Step-by-Step Explanation:
Differences multiply by 3: 10โ8=2; 16โ10=6 (2ร3); 34โ16=18 (6ร3). Next difference is 18ร3 = 54. 34 + 54 = 88.
๐ท๏ธ HEC USAT-E โข Nov 2020 (Evening Session)
Quantitative Aptitude Test
Question 157 of 200
How far must the fish be from the higher pole, if the two birds flying at identical speeds leave their respective perches simultaneously and reach the fish at the same time?
(A)28 m
(B)20 m
(C)22 m
(D)25 m
โ Correct Answer: Option C
(22 m)
๐ก Step-by-Step Explanation:
Let the horizontal distance from the base of the higher (20-m) pole to the fish be \(x\) meters. Since the canal is 50 meters wide, the horizontal distance from the lower (10-m) pole to the fish is \((50 - x)\) meters.
Set up the Pythagorean Theorem:
Because both birds fly at identical speeds and reach the fish at the same time, the straight-line distance (the hypotenuse of each right triangle) they fly must be exactly equal:
\(\text{Distance}_{\text{Higher Bird}}^{2}=\text{Distance}_{\text{Lower Bird}}^{2}\)
\(20^{2}+x^{2}=10^{2}+(50-x)^{2}\)
Expand and Solve for \(x\):
\(400+x^{2}=100+(2500-100x+x^{2})\)
Cancel out \(x^{2}\) from both sides:
\(400=2600-100x\)\(100x=2600-400\)
\(100x=2200\)\(x=\mathbf{22}\text{ m}\)
Thus, the fish must be exactly 22 meters away from the base of the higher pole.
๐ท๏ธ HEC USAT-E โข Dec 2020 (Official Paper)
Quantitative Aptitude Test
Question 158 of 200
Three successive discounts of 10 percent are equivalent to a single discount of ___ percent.
(A)33.2
(B)30
(C)27.1
(D)28.4
โ Correct Answer: Option C
(27.1)
๐ก Step-by-Step Explanation:
Assume the initial price is 100.
First discount (10%):
\(100 - 10 = 90\)
Second discount (10% of 90):
\(90 - 9 = 81\)
Third discount (10% of 81):
\(81 - 8.1 = 72.9\)
Total equivalent discount:
\(100 - 72.9 = 27.1\)
๐ท๏ธ HEC USAT-E โข March 2020 (Official Paper)
English Language Comprehension
Question 159 of 200
He is (responsible for) buying equipment in his company.
(A)Creeping up on
(B)In care of
(C)Caught short
(D)In charge of
โ Correct Answer: Option D
(In charge of)
๐ก Step-by-Step Explanation:
"In charge of" means responsible for something or in control of it.
๐ท๏ธ HEC USAT-E โข Feb 2020 (Paper-II)
English Language Comprehension
Question 160 of 200
She was very angry when she heard the news but now she has begun to (quiet down).
(A)Have the cheek to do something
(B)Calm down
(C)Cut corners
(D)Call it quits
โ Correct Answer: Option B
(Calm down)
๐ก Step-by-Step Explanation:
"Calm down" means to become less agitated, angry, or excited.
๐ท๏ธ HEC USAT-E โข Aug 2019 (Paper-I)
General Knowledge
Question 161 of 200
"Every action has reaction which are equal but in opposite direction". The law is called:
(A)Newton's first law of motion
(B)Newton's second law of motion
(C)Newton's third law of motion
(D)None of these
โ Correct Answer: Option C
(Newton's third law of motion)
๐ก Step-by-Step Explanation:
Newton's third law states that for every action force, there is an equal and opposite reaction force.
๐ท๏ธ HEC USAT-E โข July 2019 (Morning Session)
General Knowledge
Question 162 of 200
Acquired Immune-Deficiency Syndrome (AIDS) is caused by:
(A)Bacterium
(B)Protozoan
(C)Fungus
(D)Virus
โ Correct Answer: Option D
(Virus)
๐ก Step-by-Step Explanation:
AIDS is caused by the Human Immunodeficiency Virus (HIV), which attacks the body's immune system.
๐ท๏ธ HEC USAT-E โข Nov 2019 (Phase-2)
General Knowledge
Question 163 of 200
On which day/days do the spring tides occur? (i) New moon (ii) First quarter of the moon (iii) Third quarter of the moon (iv) Full moon
(A)(i), (ii) and (iv)
(B)(ii), (iii) and (iv)
(C)(i) and (iv)
(D)(ii) and (iii)
โ Correct Answer: Option C
((i) and (iv))
๐ก Step-by-Step Explanation:
Spring tides occur when the Sun, Earth, and Moon are aligned during the new moon and full moon phases, resulting in higher high tides.
๐ท๏ธ HEC USAT-E โข Oct 2019 (Batch-2)
General Knowledge
Question 164 of 200
The difference in the duration of day and night increases as one move from the ________ to the ________
(A)Equator, Poles
(B)Poles, Equator
(C)Tropic of Cancer, Equator
(D)Tropic of Cancer, Tropic of Capricorn
โ Correct Answer: Option A
(Equator, Poles)
๐ก Step-by-Step Explanation:
Variations in day length are minimal at the equator and become increasingly extreme as one moves toward the North or South Poles.
๐ท๏ธ HEC USAT-E โข Aug 2019 (Official Paper)
General Knowledge
Question 165 of 200
A day is added when one crosses:
(A)The equator from north to south
(B)280ยฐ longitude from west to east
(C)180ยฐ longitude from east to west
(D)The equator from south to north
โ Correct Answer: Option C
(180ยฐ longitude from east to west)
๐ก Step-by-Step Explanation:
When crossing the International Date Line (180ยฐ longitude) from east to west, one advances the calendar by one full day.
๐ท๏ธ HEC USAT-E โข March 2019 (Official Paper)
Quantitative Aptitude Test
Question 166 of 200
Insert correct mathematical signs in the following problems:
5 _ 1 _ 6 =11
7 _ 1 _ 6 =13
(A)\((+, \times)\)
(B)\((\times, +)\)
(C)\((-, +)\)
(D)\((\times, \times)\)
โ Correct Answer: Option B
(\((\times, +)\))
๐ก Step-by-Step Explanation:
Equation 1:
Following the standard order of operations (BODMAS/PEMDAS), multiplication is done first:
\(5\times 1+6=5+6=\mathbf{11}\)
Equation 2:
Following the same rule:
\(7\times 1+6=7+6=\mathbf{13}\)
๐ท๏ธ HEC USAT-E โข Aug 2019 (Paper-II)
Quantitative Aptitude Test
Question 167 of 200
Which mathematical signs must replace the blanks from left to right to make both mathematical equations true?
Equation 1: \((18 \ \underline{\text{ A }} \ 9) \ \underline{\text{ B }} \ (211 \ \underline{\text{ C }} \ 107) = 208\)
Equation 2: \((310 \ \underline{\text{ D }} \ 15) \ \underline{\text{ E }} \ 3 = 885\)
๐ก Step-by-Step Explanation:
First Equation:
Uses division (\(\div \)), multiplication (\(\times \)), and subtraction (\(-\)):
\((18\div 9)\times (211-107)=2\times 104=\mathbf{208}\)
Second Equation:
Uses subtraction (\(-\)) and multiplication (\(\times \)):
\((310-15)\times 3=295\times 3=\mathbf{885}\)
๐ท๏ธ HEC USAT-E โข July 2019 (Paper-I)
Quantitative Aptitude Test
Question 168 of 200
Find the odd man out: 64, 49, 625, 576, 121, 52
(A)64
(B)625
(C)121
(D)52
โ Correct Answer: Option D
(52)
๐ก Step-by-Step Explanation:
All others are perfect squares (82,72,252,242,112); 52 is not a square.
๐ท๏ธ HEC USAT-E โข Jan 2019 (Phase-2)
Quantitative Aptitude Test
Question 169 of 200
Expression \(x^{2}โ3x+5\) has a minimum value for x equal to:
(A)3.2
(B)Zero
(C)1.5
(D)2.4
โ Correct Answer: Option C
(1.5)
๐ก Step-by-Step Explanation:
The expression \(f(x) = x^2 - 3x + 5\) is a quadratic equation where the coefficient of \(x^{2}\) is positive (\(a = 1\)). This means its graph is a parabola that opens upward, and its lowest point (minimum value) occurs at its vertex.
To find the value of \(x\) at the vertex, we use the vertex formula:
\(x=-\frac{b}{2a}\)
Identify the coefficients:
\(a = 1\)
\(b = -3\)
Plug the numbers into the formula:
\(x=-\frac{-3}{2(1)}=\frac{3}{2}=\mathbf{1.5}\)
Therefore, the expression reaches its minimum value when \(x\) is equal to 1.5.
๐ท๏ธ HEC USAT-E โข March 2019 (Phase-2)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข Dec 2019 (Official Paper)
Quantitative Aptitude Test
Question 171 of 200
The sum of two numbers is 8. If the numbers are in the ratio 3 : 1, their product is
(A)15
(B)18
(C)12
(D)10
โ Correct Answer: Option C
(12)
๐ก Step-by-Step Explanation:
Identify the parts:
The ratio is 3 : 1, which means the numbers can be written as \(3x\) and \(1x\).
Find the sum: \(3x + 1x = 8 \implies 4x = 8 \implies x = 2\).
Find the numbers:
First number:
\(3 \times 2 = 6\)
Second number:
\(1 \times 2 = 2\)
Find the product:
\(6 \times 2 = 12\).
๐ท๏ธ HEC USAT-E โข Aug 2019 (Morning Session)
Quantitative Aptitude Test
Question 172 of 200
A tap fills a tank in eight hours. Two taps at the bottom of the tank can empty it in 15 and 20 hours respectively. If all the three taps are opened simultaneously, the tank will be full in __ hours.
(A)60
(B)120
(C)27
(D)No fill
โ Correct Answer: Option B
(120)
๐ก Step-by-Step Explanation:
Here is the step-by-step breakdown using the net work per hour approach:
Inlet rate (filling): \(\frac{1}{8}\) of the tank per hour.
First outlet rate (emptying): \(-\frac{1}{15}\) of the tank per hour.
Second outlet rate (emptying): \(-\frac{1}{20}\) of the tank per hour.
Net work done in 1 hour:\(\frac{1}{8}-\frac{1}{15}-\frac{1}{20}\)
Find the Least Common Multiple (LCM): The LCM of 8, 15, and 20 is 120.
Calculate the net rate:
\(\frac{15-8-6}{120}=\frac{1}{120}\)
Since \(\frac{1}{120}\) of the tank is filled every hour, it will take exactly 120 hours to fill the tank completely.
๐ท๏ธ HEC USAT-E โข May 2019 (Evening Session)
Quantitative Aptitude Test
Question 173 of 200
A B and C can do a piece of work in 15 days. A and B can do the same work in 24 days. C alone will do the work in -- -- -- days.
(A)48
(B)36
(C)39
(D)40
โ Correct Answer: Option D
(40)
๐ก Step-by-Step Explanation:
Find the total work:
The LCM of 15 and 24 is 120 units.
Efficiency of A, B, and C together:
\(\frac{120}{15} =\) 8 units/day.
Efficiency of A and B together:
\(\frac{120}{24} =\) 5 units/day.
Efficiency of C alone:
\(\text{Total Efficiency} - \text{Efficiency of (A+B)} = 8 - 5 =\) 3 units/day.
Time taken by C:
\(\frac{\text{Total Work}}{\text{C's Efficiency}} = \frac{120}{3} =\) 40 days.
๐ท๏ธ HEC USAT-E โข Oct 2019 (Batch-2)
Quantitative Aptitude Test
Question 174 of 200
A man buys a scooter for Rs. 7,000 and sells it for Rs. 11,500. The percentage profit is nearly ------ percent.
(A)70.6
(B)54
(C)58
(D)64.3
โ Correct Answer: Option D
(64.3)
๐ก Step-by-Step Explanation:
Find the profit amount: \(\text{Selling Price} - \text{Cost Price} = 11,500 - 7,000 =\) Rs. 4,500.
Calculate the profit percentage:
\(\text{Profit }\%=\left(\frac{\text{Profit}}{\text{Cost Price}}\right)\times 100\)
\(\text{Profit }\%=\left(\frac{4,500}{7,000}\right)\times 100\approx 64.28\%\)
When rounded to the nearest tenth, it gives 64.3%.
๐ท๏ธ HEC USAT-E โข May 2019 (Paper-II)
English Language Comprehension
Question 175 of 200
I wish he would say exactly what he means rather than (talking and not getting to the point).
(A)Biting off more than he can chew
(B)Breaking the news
(C)Bringing the house down
(D)Beating around the bush
โ Correct Answer: Option D
(Beating around the bush)
๐ก Step-by-Step Explanation:
"Beating around the bush" means avoiding the main topic or not getting to the point.
๐ท๏ธ HEC USAT-E โข Nov 2019 (Batch-2)
English Language Comprehension
Question 176 of 200
I think that I (decided to do too much) when I said I'd help with the party.
(A)Bit off more than I can chew
(B)Broke the bank
(C)Brought to mind
(D)Had a brush with the law
โ Correct Answer: Option A
(Bit off more than I can chew)
๐ก Step-by-Step Explanation:
"Bit off more than one can chew" means to take on a task that is way too big to handle.
๐ท๏ธ HEC USAT-E โข May 2019 (Phase-1)
English Language Comprehension
Question 177 of 200
It finally (occurred to me) that I had met him before at a party.
(A)Crossed my mind
(B)Cleared the decks
(C)Came clean
(D)Crosses out
โ Correct Answer: Option A
(Crossed my mind)
๐ก Step-by-Step Explanation:
"Crossed my mind" means to occur to someone briefly or be thought of.
๐ท๏ธ HEC USAT-E โข May 2019 (Phase-1)
English Language Comprehension
Question 178 of 200
The tennis match (was canceled) because of the rain.
(A)Came clean
(B)Was called off
(C)Came to the point
(D)Crossed out
โ Correct Answer: Option B
(Was called off)
๐ก Step-by-Step Explanation:
"Called off" means to cancel a planned event.
๐ท๏ธ HEC USAT-E โข Jan 2018 (Paper-I)
General Knowledge
Question 179 of 200
What are the two seas linked by Suez Canal?
(A)The Mediterranean Sea and Baltic Sea
(B)The Mediterranean Sea and Red Sea
(C)The Black Sea and Baltic Sea
(D)The Black Sea and South China Sea
โ Correct Answer: Option B
(The Mediterranean Sea and Red Sea)
๐ก Step-by-Step Explanation:
The Suez Canal is an artificial sea-level waterway in Egypt that connects the Mediterranean Sea to the Red Sea.
๐ท๏ธ HEC USAT-E โข Sept 2018 (Morning Session)
General Knowledge
Question 180 of 200
Which of the following died of natural death:
(A)Indira Gandhi
(B)Mahatma Gandhi
(C)Rajiv Gandhi
(D)None of the above
โ Correct Answer: Option D
(None of the above)
๐ก Step-by-Step Explanation:
Indira Gandhi, Mahatma Gandhi, and Rajiv Gandhi were all victims of assassination rather than dying of natural causes.
๐ท๏ธ HEC USAT-E โข July 2018 (Batch-1)
General Knowledge
Question 181 of 200
The process of changing of one element into another is called:
(A)Radioactive Decay
(B)Transmutation of the Elements
(C)Covalent Bond Formation
(D)Hybridization
โ Correct Answer: Option B
(Transmutation of the Elements)
๐ก Step-by-Step Explanation:
Transmutation is the conversion of one chemical element or isotope into another through nuclear reactions or decay.
๐ท๏ธ HEC USAT-E โข Sept 2018 (Paper-II)
General Knowledge
Question 182 of 200
Cooking oil can be converted into vegetable ghee by the process of:
(A)Hydrogenation
(B)Distillation
(C)Crystallisation
(D)Oxidation
โ Correct Answer: Option A
(Hydrogenation)
๐ก Step-by-Step Explanation:
Hydrogenation involves adding hydrogen to liquid vegetable oils to make them solid at room temperature, creating vegetable ghee.
๐ท๏ธ HEC USAT-E โข Nov 2018 (Paper-I)
General Knowledge
Question 183 of 200
In order to prevent the corrosion of iron pipes; they are often coated with a layer of zinc. This process is termed:
(A)Electroplating
(B)Annealing
(C)Galvanization
(D)Vulcanization
โ Correct Answer: Option C
(Galvanization)
๐ก Step-by-Step Explanation:
Galvanization is the process of applying a protective zinc coating to iron or steel to prevent rusting.
๐ท๏ธ HEC USAT-E โข May 2018 (Morning Session)
General Knowledge
Question 184 of 200
The acid used in batteries is:
(A)Acetic Acid
(B)Hydrochloric Acid
(C)Sulphuric Acid
(D)Nitric .cid
โ Correct Answer: Option C
(Sulphuric Acid)
๐ก Step-by-Step Explanation:
Lead-acid batteries, commonly used in vehicles, use a solution of sulphuric acid as the electrolyte.
๐ท๏ธ HEC USAT-E โข May 2018 (Morning Session)
General Knowledge
Question 185 of 200
The minimum distance between the sun and the earth occurs on:
(A)December, 22
(B)June, 21
(C)September, 22
(D)January, 03
โ Correct Answer: Option D
(January, 03)
๐ก Step-by-Step Explanation:
The point at which the Earth is closest to the sun is called the Perihelion.
This event occurs annually around January 3 or 4, when the Earth is approximately 147.1 million kilometers away from the sun.
๐ท๏ธ HEC USAT-E โข Sept 2018 (Batch-1)
General Knowledge
Question 186 of 200
The rate of rotation of the earth on its axis is highest on:
(A)January, 3
(B)December, 22
(C)July, 4
(D)It never changes
โ Correct Answer: Option D
(It never changes)
๐ก Step-by-Step Explanation:
The Earth's rotational speed remains relatively constant, though its orbital speed varies as it moves along its elliptical path.
๐ท๏ธ HEC USAT-E โข March 2018 (Evening Session)
General Knowledge
Question 187 of 200
What is the relationship between solar day and sidereal day?
(A)Both are equal
(B)Solar day is longer than sidereal day
(C)Solar day is shorter than sidereal day
(D)There is no relationship between the two
โ Correct Answer: Option B
(Solar day is longer than sidereal day)
๐ก Step-by-Step Explanation:
A solar day is approximately 4 minutes longer than a sidereal day because the Earth must rotate slightly more than 360 degrees to face the Sun again.
๐ท๏ธ HEC USAT-E โข Sept 2018 (Phase-1)
General Knowledge
Question 188 of 200
The most prominent gases in the atmosphere, in terms of volume, are:
(A)Nitrogen and Methane
(B)Nitrogen and Oxygen
(C)Oxygen and Carbon dioxide
(D)Hydrogen and Nitrogen
โ Correct Answer: Option B
(Nitrogen and Oxygen)
๐ก Step-by-Step Explanation:
Nitrogen (78%) and Oxygen (21%) together account for approximately 99 percent of the Earth's dry atmosphere by volume.
๐ท๏ธ HEC USAT-E โข March 2018 (Paper-I)
General Knowledge
Question 189 of 200
Most of the weather phenomena take place in the:
(A)Stratosphere
(B)Troposphere
(C)Tropopause
(D)Ionosphere
โ Correct Answer: Option B
(Troposphere)
๐ก Step-by-Step Explanation:
The troposphere is the lowest layer of the atmosphere where nearly all water vapor exists and weather conditions develop.
๐ท๏ธ HEC USAT-E โข Jan 2018 (Evening Session)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข Dec 2018 (Paper-II)
Quantitative Aptitude Test
Question 191 of 200
What fraction is 50 paise of Rs. 100?
(A)1/200
(B)1/100
(C)200
(D)1/50
โ Correct Answer: Option A
(1/200)
๐ก Step-by-Step Explanation:
First, convert Rs. 100 to paise.
One rupee equals 100 paise.
So, Rs. 100 equals 10,000 paise (\(100 \times 100\)).
Write it as a fraction: \(\frac{50}{10000}\).
Simplify the fraction: \(\frac{1}{200}\).
๐ท๏ธ HEC USAT-E โข Oct 2018 (Batch-2)
Quantitative Aptitude Test
Question 192 of 200
ะขo a certain number 8 is added. The sum is multiplied by 3, then the product is divided by 2 and 7 is subtracted from the quotient. The remainder left is 50. The number is:
(A)30
(B)40
(C)50
(D)60
โ Correct Answer: Option A
(30)
๐ก Step-by-Step Explanation:
We can solve this problem by working backward from the final remainder of 50:
Undo the subtraction:
Before subtracting 7, the number was:
\(50+7=57\)
Undo the division:
Before dividing by 2, the product was:
\(57\times 2=114\)
Undo the multiplication:
Before multiplying by 3, the sum was:
\(114\div 3=38\)
Undo the addition:
Before adding 8, the original number was:
\(38-8=\mathbf{30}\)
๐ท๏ธ HEC USAT-E โข Jan 2018 (Phase-2)
Quantitative Aptitude Test
๐ท๏ธ HEC USAT-E โข Sept 2018 (Phase-1)
Quantitative Aptitude Test
Question 194 of 200
Insert the missing number in the node circle: 9, 78, 45, 28, 21, ?
(A)11
(B)13
(C)15
(D)17
โ Correct Answer: Option B
(13)
๐ก Step-by-Step Explanation:
Cyclic segmented difference pattern indicates the missing value is 13.
๐ท๏ธ HEC USAT-E โข Jan 2018 (Phase-2)
Quantitative Aptitude Test
Question 195 of 200
Ali bought a electric fan priced at Rs. 2,000. He was given two successive discounts of 10 and 5 percent. If he had to pay 10 percent sales tax, the net amount he paid was.
(A)Rs. 2,633.40
(B)Rs. 2,592
(C)Rs. 2,660
(D)Rs. 1,881
โ Correct Answer: Option D
(Rs. 1,881)
๐ก Step-by-Step Explanation:
Apply the first discount (10%):
Discount amount = \(2,000 \times 0.10 = \text{Rs. 200}\)
Price after 1st discount = \(2,000 - 200 = \text{Rs. 1,800}\)
Apply the second discount (5%) to the reduced price:
Discount amount = \(1,800 \times 0.05 = \text{Rs. 90}\)
Price after 2nd discount = \(1,800 - 90 = \text{Rs. 1,710}\)
Add the 10% sales tax to the final discounted price:
Sales tax amount = \(1,710 \times 0.10 = \text{Rs. 171}\)
Net amount paid = \(1,710 + 171 = \mathbf{\text{Rs. 1,881}}\)
๐ท๏ธ HEC USAT-E โข Nov 2018 (Batch-1)
Quantitative Aptitude Test
Question 196 of 200
A student loses a mark for every wrong answer and scores 2 marks for every correct answer. If he answers all the 60 questions in an exam and scores 39 marks. How many of them were correct?
(A)31
(B)37
(C)33
(D)27
โ Correct Answer: Option C
(33)
๐ก Step-by-Step Explanation:
Set up the system of equations:
Total questions answered:
\(C+W=60\implies W=60-C\)
Total marks scored:
\(2C-1W=39\)
Substitute \(W\) into the score equation:
\(2C-(60-C)=39\)
\(2C-60+C=39\)
\(3C-60=39\)
Solve for \(C\):
\(3C=39+60\)
\(3C=99\)
\(C=\frac{99}{3}=\mathbf{33}\)
๐ท๏ธ HEC USAT-E โข July 2018 (Morning Session)
Quantitative Aptitude Test
Question 197 of 200
Value of $\frac{3.8x3.8x3.8+1.2x1.2x1.2}{3.8ร3.8+1.44-3.8x1.2}$
(A)6.2
(B)3.4
(C)5
(D)5.8
โ Correct Answer: Option C
(5)
๐ก Step-by-Step Explanation:
This expression matches the identity \(\frac{a^3 + b^3}{a^2 + b^2 - ab} = a + b\).
Let a = 3.8
Let b = 1.2
Notice that:
aยณ = 3.8 ร 3.8 ร 3.8
bยณ = 1.2 ร 1.2 ร 1.2
bยฒ = 1.2 ร 1.2 = 1.44
ab = 3.8 ร 1.2
Since the denominator simplifies to aยฒ + bยฒ - ab, the entire expression cancels out to leave just:
\(a+b=3.8+1.2=5\)
๐ท๏ธ HEC USAT-E โข Sept 2018 (Batch-1)
English Language Comprehension
Question 198 of 200
He is (not very good) when he tries to repair something in his house.
(A)All thumbs
(B)About time
(C)All ears
(D)An arm and a leg
โ Correct Answer: Option A
(All thumbs)
๐ก Step-by-Step Explanation:
"All thumbs" means clumsy or awkward, especially with one's hands.
๐ท๏ธ HEC USAT-E โข Sept 2018 (Batch-2)
English Language Comprehension
Question 199 of 200
I don't think that he is (to blame) for breaking the computer.
(A)At last
(B)At fault
(C)All thumbs
(D)Absent-minded
โ Correct Answer: Option B
(At fault)
๐ก Step-by-Step Explanation:
"At fault" means responsible for an undesirable situation; to blame.
๐ท๏ธ HEC USAT-E โข July 2018 (Evening Session)
English Language Comprehension
Question 200 of 200
She is (in a better position) since she sold her car.
(A)Blown over
(B)Beating around the bush
(C)Backing out
(D)Better off
โ Correct Answer: Option D
(Better off)
๐ก Step-by-Step Explanation:
"Better off" means in a more fortunate or advantageous position.
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USAT-E (Undergraduate Studies Admission Test - Pre-Engineering) stands for Undergraduate Studies Admission Test (USAT). It is conducted by Higher Education Commission (HEC) - Education Testing Council (ETC) for Undergraduate University Admissions across Public & Private Pakistani Universities.
The examination comprises 100 Marks (75 MCQs Part-1/2 + 25 Essay/Argumentative Writing) to be completed within 100 Minutes (Objective) + 40 Minutes (Essay). The test pattern consists of standardized objective multiple-choice questions mapped according to official syllabus weightages. There is no negative marking for incorrect answers.
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