GAT Subject - Statistics & Data Analytics

Active Exam Prep National Testing Service (NTS Pakistan) ๐Ÿ”ฅ 200 Past Paper MCQs
Full Name: Graduate Assessment Test - Subject (GAT Subject)
NTS GAT Subject for Ph.D. admissions and university faculty recruitments in Statistics, Biostatistics, and Data Analytics.

๐Ÿ“‹ Exam Specifications & Official Testing Profile

Verified Standards (2026)
Conducting Authority National Testing Service (NTS Pakistan)
Total Marks & Questions 100 Marks (70% Discipline Subject + 30% General/Analytical)
Time Allowed 120 Minutes (2 Hours)
Passing / Qualifying Criteria 60% Cumulative Score for Ph.D. Admission
Negative Marking No Negative Marking
Score Validity 2 Years from test date
๐ŸŽฏ Primary Scope & Target Admissions/Jobs: Ph.D. Program Admissions & Academic Position Screening

๐Ÿ“Š Official Test Syllabus & Weightage Breakdown

Total Verified Question Pool: 4053 questions available across all mapped subjects.

Syllabus Subject / Area Official Weightage Available Question Pool Action
Statistics 70% 600 MCQs
English Language Comprehension 15% 2736 MCQs
Quantitative Aptitude Test 15% 717 MCQs
๐Ÿ”ฅ High-Yield Solved Archive Exact Session Citations (2019โ€“2026)

200 Most Frequently Repeated Past Paper Questions

Representative questions from authentic past papers with detailed step-by-step solutions and verified formulas.

๐Ÿท๏ธ NTS GAT Subject (Computer Science) โ€ข 2024 Paper GAT Subject Computer Science
Question 1 of 200
What is the worst-case time complexity of finding a shortest path in a weighted directed graph with non-negative edge weights using Dijkstra's algorithm implemented with a Min-Binary Heap?
(A) O(Vยฒ)
(B) O((V + E) log V)
(C) O(V ยท E)
(D) O(E log E)
๐Ÿท๏ธ NTS GAT Subject (Computer Science) โ€ข 2023 Paper GAT Subject Computer Science
Question 2 of 200
In relational database design, a relation is in Boyce-Codd Normal Form (BCNF) if and only if for every non-trivial functional dependency X โž” Y:
(A) Y is a subset of X
(B) X is a Superkey
(C) Y is a Prime Attribute
(D) X is a Foreign Key
๐Ÿท๏ธ NTS GAT Subject (Education) โ€ข 2024 Paper GAT Subject Education & Pedagogy
Question 3 of 200
In Benjamin Bloom's Revised Cognitive Taxonomy (Anderson & Krathwohl 2001), which level represents the highest order of cognitive thinking?
(A) Evaluating
(B) Creating
(C) Analyzing
(D) Applying
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข 2024 Paper GAT Subject Statistics
Question 4 of 200
In a standard normal distribution (Z ~ N(0,1)), what is the approximate percentage of total area under the curve enclosed within 2 standard deviations from the mean (ฮผ ยฑ 2ฯƒ)?
(A) 68.27%
(B) 95.45%
(C) 99.73%
(D) 90.00%
๐Ÿท๏ธ NTS GAT Subject (Electrical Engineering) โ€ข 2024 Paper GAT Subject Electrical Engineering
Question 5 of 200
In AC circuit analysis, maximum power is transferred from a source to a complex load impedance Z_L when:
(A) Z_L = Z_th
(B) Z_L = Z_th* (Complex Conjugate)
(C) R_L = 0
(D) X_L = X_th
๐Ÿท๏ธ HEC HAT-I โ€ข Oct 2024 (Morning Batch) Quantitative Reasoning
Question 6 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
๐Ÿท๏ธ HEC HAT-General โ€ข Aug 2024 (Session-1) Quantitative Reasoning
Question 7 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?
(A) 5 hours
(B) 6 hours
(C) 7.5 hours
(D) 8 hours
๐Ÿท๏ธ NTS NAT-IE โ€ข July 2024 Official Paper Quantitative Reasoning
Question 8 of 200
The present ratio of ages of father and son is 7 : 3. Ten years ago, the ratio of their ages was 3 : 1. What is the present age of the father?
(A) 42 years
(B) 49 years
(C) 56 years
(D) 70 years
๐Ÿท๏ธ HEC USAT-E โ€ข June 2024 (Batch-1) Quantitative Reasoning
Question 9 of 200
If the price of petroleum increases by 25%, by what percentage must a motorist reduce consumption so that the overall expenditure remains unchanged?
(A) 16.67%
(B) 20%
(C) 25%
(D) 33.33%
๐Ÿท๏ธ NTS GAT-A โ€ข April 2024 Official Paper Quantitative Reasoning
Question 10 of 200
In a mixture of 60 liters, the ratio of milk to water is 2 : 1. If this ratio is to be made 1 : 2, how much water (in liters) must be added?
(A) 40 liters
(B) 60 liters
(C) 80 liters
(D) 90 liters
๐Ÿท๏ธ HEC USAT-COM โ€ข May 2024 Quantitative Reasoning
Question 11 of 200
What is the compound interest on a principal sum of Rs. 10,000 at 10% per annum compounded annually for a duration of 3 years?
(A) Rs. 3,000
(B) Rs. 3,310
(C) Rs. 3,450
(D) Rs. 3,600
๐Ÿท๏ธ HEC HAT-II โ€ข March 2024 Quantitative Reasoning
Question 12 of 200
In how many different ways can the letters of the word 'LEADER' be arranged?
(A) 360
(B) 720
(C) 120
(D) 180
๐Ÿท๏ธ HEC HAT-III โ€ข Nov 2023 Quantitative Reasoning
Question 13 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?
(A) 4/13
(B) 17/52
(C) 16/52 (4/13)
(D) 1/4
๐Ÿท๏ธ NTS NAT-ICS โ€ข Oct 2023 Quantitative Reasoning
Question 14 of 200
If logโ‚โ‚€(x) = 3 and logโ‚โ‚€(y) = 2, what is the value of logโ‚โ‚€(xยฒ / y)?
(A) 4
(B) 5
(C) 6
(D) 8
๐Ÿท๏ธ HEC USAT-CS โ€ข Aug 2023 Quantitative Reasoning
Question 15 of 200
Find the sum of the infinite geometric series: 18, 6, 2, 2/3, ...
(A) 24
(B) 27
(C) 36
(D) 54
๐Ÿท๏ธ HEC HAT-General โ€ข Oct 2024 Analytical Reasoning
Question 16 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
๐Ÿท๏ธ HEC HAT-I โ€ข Aug 2024 Analytical Reasoning
Question 17 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
๐Ÿท๏ธ NTS NAT-IE โ€ข June 2024 Analytical Reasoning
Question 18 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
๐Ÿท๏ธ HEC HAT-General โ€ข Oct 2024 Verbal Reasoning
Question 19 of 200
PROSAIC : POETRY ::
(A) Lethargic : Activity
(B) Pedestrian : Novelty
(C) Mundane : Imagination
(D) Cacophonous : Music
๐Ÿท๏ธ NTS GAT-B โ€ข Sept 2024 Verbal Reasoning
Question 20 of 200
Select the word most OPPOSITE in meaning to INIMICAL:
(A) Hostile
(B) Friendly & Favorable
(C) Ambiguous
(D) Dangerous
๐Ÿท๏ธ NTS GAT Subject (Quantitative Aptitude Test) โ€ข Feb 2025 (Batch-2) Quantitative Aptitude Test
Question 21 of 200
Insert the missing number in Triangle grid [11, 242, 3; 13, 338, 2]
(A) 120
(B) 162
(C) 260
(D) 164
๐Ÿท๏ธ NTS GAT Subject (Quantitative Aptitude Test) โ€ข Nov 2025 (Morning Session) Quantitative Aptitude Test
Question 22 of 200
What fraction is 50 paise of Rs. 100?
(A) 1/200
(B) 1/100
(C) 200
(D) 1/50
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Sept 2025 (Morning Session) English Language Comprehension
Question 23 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Sept 2025 (Official Paper) English Language Comprehension
Question 24 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข May 2025 (Official Paper) English Language Comprehension
Question 25 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Dec 2025 (Evening Session) English Language Comprehension
Question 26 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Jan 2025 (Batch-2) English Language Comprehension
Question 27 of 200
The clothes in that store are a little (old fashioned).
(A) Behind the times
(B) Brand new
(C) Broke
(D) Better off
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Oct 2025 (Batch-2) English Language Comprehension
Question 28 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Nov 2025 (Phase-1) English Language Comprehension
Question 29 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
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข July 2025 (Paper-II) Statistics
Question 30 of 200
Which measure of central tendency is most severely distorted and influenced by extreme outlier values in a dataset?
(A) Arithmetic Mean
(B) Median
(C) Mode
(D) Interquartile Range
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Jan 2025 (Batch-2) Statistics
Question 31 of 200
Karl Pearson's coefficient of kurtosis is defined as $\beta_2 = \mu_4 / \mu_2^2$. What is the value of $\beta_2$ for a perfectly normal (mesokurtic) distribution?
(A) 3.0 (or excess kurtosis $\gamma_2 = \beta_2 - 3 = 0$)
(B) 0.0
(C) 1.0
(D) 0.5
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Feb 2025 (Batch-2) Statistics
Question 32 of 200
Two events $A$ and $B$ are statistically 'independent' if and only if:
(A) $P(A \cap B) = P(A) \times P(B)$
(B) $P(A \cap B) = 0$
(C) $P(A \cup B) = P(A) + P(B)$
(D) $P(A) = P(B)$
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Dec 2025 (Phase-2) Statistics
Question 33 of 200
If two fair six-sided dice are rolled simultaneously, what is the probability of obtaining a sum equal to 7?
(A) 6 / 36 (1 / 6)
(B) 1 / 36
(C) 7 / 36
(D) 1 / 12
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Feb 2025 (Batch-1) Statistics
Question 34 of 200
In combinatorics, in how many distinct ways can a committee of 3 people be chosen from a pool of 8 candidates?
(A) 56
(B) 336
(C) 24
(D) 512
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Dec 2025 (Paper-II) Statistics
Question 35 of 200
The relationship between the variance and standard deviation of a random variable is:
(A) Variance is the square of the standard deviation ($Var(X) = \sigma^2$)
(B) Standard deviation is the square of variance
(C) Variance is the square root of standard deviation
(D) Variance and standard deviation are always identical
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Nov 2025 (Phase-1) Statistics
Question 36 of 200
In a scatter plot, if all data points fall precisely on a straight line sloping downward from top-left to bottom-right, the correlation coefficient is:
(A) Exactly -1.0
(B) Exactly +1.0
(C) Exactly 0.0
(D) -0.5
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Nov 2025 (Morning Session) Statistics
Question 37 of 200
What graphical chart plots the cumulative frequency distribution to determine quartiles, deciles, and percentiles visually?
(A) Ogive
(B) Histogram
(C) Pie Chart
(D) Bar Chart
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Aug 2025 (Evening Session) Statistics
Question 38 of 200
What is the ratio that defines Snedecor's $F$-distribution?
(A) The ratio of two independent Chi-Square variables, each divided by its respective degrees of freedom: $F = (\chi^2_1 / d_1) / (\chi^2_2 / d_2)$
(B) The ratio of two normal variables
(C) The product of two $t$-distributions
(D) The ratio of mean to variance
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Sept 2025 (Official Paper) Statistics
Question 39 of 200
If two independent random variables $X$ and $Y$ are normally distributed with $X \sim N(\mu_1, \sigma_1^2)$ and $Y \sim N(\mu_2, \sigma_2^2)$, what is the distribution of their difference ($D = X - Y$)?
(A) $D \sim N(\mu_1 - \mu_2, \sigma_1^2 + \sigma_2^2)$
(B) $D \sim N(\mu_1 - \mu_2, \sigma_1^2 - \sigma_2^2)$
(C) $D \sim N(0, \sigma_1^2 + \sigma_2^2)$
(D) $D$ is not normally distributed
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข Nov 2025 (Batch-2) Statistics
Question 40 of 200
In survey sampling, what is a 'Sampling Frame'?
(A) A comprehensive, exhaustive listing of all eligible units or elements in the target population from which a sample is selected
(B) The statistical formula for calculating variance
(C) The software used for data entry
(D) The budget allocated for interviewing
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข July 2025 (Phase-1) Statistics
Question 41 of 200
In linear regression modeling, what does the assumption of 'Homoscedasticity' require?
(A) The variance of the error terms (residuals) must be constant across all levels of the independent variables ($Var(\epsilon_i) = \sigma^2$)
(B) The residuals must be positive numbers
(C) The independent variables must have zero mean
(D) The sample size must exceed 1,000
๐Ÿท๏ธ NTS GAT Subject (Statistics) โ€ข March 2025 (Paper-I) Statistics
Question 42 of 200
In logistic regression, the exponentiated regression coefficient ($e^{\beta_i}$) represents the:
(A) Odds Ratio (OR) associated with a one-unit increase in predictor $X_i$
(B) Pearson correlation coefficient
(C) Relative risk reduction percentage
(D) Standard error of intercept
๐Ÿท๏ธ NTS GAT Subject (Quantitative Aptitude Test) โ€ข Oct 2024 (Evening Session) Quantitative Aptitude Test
Question 43 of 200
What is $\frac{1}{5}$ of $\frac{x}{5}$?
(A) 25x
(B) $\frac{1}{25}$
(C) $\frac{1}{x}$
(D) $\frac{x}{25}$
๐Ÿท๏ธ NTS GAT Subject (Quantitative Aptitude Test) โ€ข March 2024 (Batch-2) Quantitative Aptitude Test
Question 44 of 200
Insert missing grid: 7 8 1 3 7 4 1 -- 8
(A) 8
(B) 9
(C) 7
(D) 10
๐Ÿท๏ธ NTS GAT Subject (Quantitative Aptitude Test) โ€ข May 2024 (Batch-1) Quantitative Aptitude Test
Question 45 of 200
There are a number of birds sitting on a branch of a tree. A hunter fired with his gun, only two birds fell down. How many were left on the tree?
(A) 10
(B) 18
(C) 21
(D) None
๐Ÿท๏ธ NTS GAT Subject (Quantitative Aptitude Test) โ€ข Oct 2024 (Batch-2) Quantitative Aptitude Test
Question 46 of 200
Insert mathematical signs: 8 __ 2 __ 2 = 2 15__ 5 __ 4 = 16 8 __ 7 __ 8 = 8
(A) 1st: \((\div, -)\) ; 2nd: \((-, +)\) ; 3rd: \((-, \times)\)
(B) 1st: \((\div, -)\) ; 2nd: \((+, -)\) ; 3rd: \((-, \times)\)
(C) 1st: \((-, \div)\) ; 2nd: \((+, -)\) ; 3rd: \((\times, -)\)
(D) 1st: \((\div, -)\) ; 2nd: \((+, -)\) ; 3rd: \((+, -)\)
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Aug 2024 (Morning Session) English Language Comprehension
Question 47 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Nov 2024 (Paper-I) English Language Comprehension
Question 48 of 200
He is always (fighting) with his boss about something.
(A) As usual
(B) At last
(C) At odds
(D) At heart
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข Jan 2024 (Official Paper) English Language Comprehension
Question 49 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
๐Ÿท๏ธ NTS GAT Subject (English Language Comprehension) โ€ข July 2024 (Phase-2) English Language Comprehension
Question 50 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

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โ“ Frequently Asked Questions (FAQs) - GAT Subject - Statistics & Data Analytics

Essential questions regarding syllabus pattern, passing marks, validity, and preparation strategy.