GAT General (NTS) chapter 8: Quantitative · Statistics, probability and data MCQs with answers

By Team Megalecture · Updated 4 Nov 2026

36 exam-style questions on Quantitative · Statistics, probability and data, each with the answer and a short explanation. Ten of them are below to try. The chapter test draws ten fresh questions each time and is marked the moment you finish, with your score by topic.

36 questions · 3 topics · 10 per test

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What chapter 8 covers

Ten Quantitative · Statistics, probability and data questions with answers

Try each one, then open the answer. These ten stay the same; the test draws new ones every time.

1. The number of different arrangements of the letters of the word PAKISTAN is

  1. A
    40320
  2. B
    20160
  3. C
    10080
  4. D
    5040
Show answer

Answer: B. PAKISTAN has 8 letters with A appearing twice: 8!/2! = 40320/2 = 20160. 40320 forgets the repeated A.

2. The mean of x, x + 2, x + 4, x + 6 and x + 8 is 12. The largest of the five numbers is

  1. A
    8
  2. B
    12
  3. C
    20
  4. D
    16
Show answer

Answer: D. The mean of five equally spaced numbers is the middle one: x + 4 = 12, so x = 8 and the largest is x + 8 = 16. 8 is the smallest.

3. A bag has 4 red and 6 blue balls. A ball is drawn, put back, and a second ball is drawn. The probability that both are blue is

  1. A
    1/3
  2. B
    3/5
  3. C
    9/25
  4. D
    6/25
Show answer

Answer: C. P(blue) = 6/10 = 3/5 each time and the draws are independent: (3/5)2 = 9/25. 1/3 (= 6/10 × 5/9) is the answer without replacement.

4. In a league of 8 teams each team plays every other team once. The number of matches is

  1. A
    56
  2. B
    64
  3. C
    16
  4. D
    28
Show answer

Answer: D. Each match is a pair of teams: 8C2 = (8 × 7)/2 = 28. 56 counts each match twice.

5. Every value in a data set is doubled. The median

  1. A
    is doubled
  2. B
    is unchanged
  3. C
    increases by 2
  4. D
    is halved
Show answer

Answer: A. Doubling every value keeps the order and doubles the middle value, so the median is doubled. The range doubles too.

6. In how many ways can 5 different books be arranged on a shelf if two particular books must be next to each other?

  1. A
    48
  2. B
    24
  3. C
    120
  4. D
    96
Show answer

Answer: A. Tie the two books together as one unit: 4 units arrange in 4! = 24 ways, and the pair can swap in 2 ways, giving 48. 120 is 5! with no restriction.

7. How many 3-digit numbers can be formed from the digits 1 to 6 if no digit is repeated?

  1. A
    216
  2. B
    20
  3. C
    120
  4. D
    720
Show answer

Answer: C. 6 choices for the first digit, 5 for the second and 4 for the third: 6 × 5 × 4 = 120. 216 allows repeats, and 20 is 6C3.

8. The mode of 4, 6, 6, 7, 4, 6, 9 is

  1. A
    4
  2. B
    7
  3. C
    6
  4. D
    9
Show answer

Answer: C. 6 appears three times, more than any other value. 4 appears only twice.

9. Class A has 20 students with mean marks 60; class B has 30 students with mean marks 70. The mean for all 50 students is

  1. A
    65
  2. B
    64
  3. C
    66
  4. D
    68
Show answer

Answer: C. Total marks = 20 × 60 + 30 × 70 = 1200 + 2100 = 3300, and 3300/50 = 66. Averaging 60 and 70 (65) ignores the different class sizes.

10. The median of 7, 3, 9, 12, 5, 8 is

  1. A
    8
  2. B
    7
  3. C
    7.5
  4. D
    9
Show answer

Answer: C. In order: 3, 5, 7, 8, 9, 12. With six values the median is the average of the 3rd and 4th: (7 + 8)/2 = 7.5. Taking the middle of the unsorted list gives 9.

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Ways to practise this chapter

Quantitative · Statistics, probability and data: questions students ask

How many Quantitative · Statistics, probability and data MCQs are there?

36, each with the answer and a short explanation, across 3 topics: Basic statistics, Probability and counting, Data interpretation. Every chapter test draws ten of them, so you can take it many times.

Is the GAT General (NTS) chapter 8 test free?

Yes. The test, the answers and the explanations are free and need no sign-up. Sign in only if you want your scores kept across devices.

How is the chapter test marked?

The moment you press Finish: your score, the right answer and an explanation for every question, and the ones you got wrong saved in My mistakes to retry.

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