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Next CSE-PPT: 14 March 2027

Number Series Practice MCQs

Civil Service Exam numerical ability reviewer with number series built on differences, ratios, squares, cubes, primes, Fibonacci and alternating rules, each with the rule explained.

20 MCQsUpdated 3 November 2026

Number sequence is one of the three items in the official Numerical Ability scope of the Civil Service Exam. This practice set covers every common pattern: constant and growing differences, multiplication and division, squares and cubes with or without a constant, primes, triangular and Fibonacci numbers, and alternating two-step rules, including finding a missing middle term.

Work through the checklist in order: differences, then ratios, then squares and cubes, then two-term sums and alternating rules. Every series here was checked by script against its stated rule.

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  1. 1

    What comes next: 4, 11, 18, 25, ___?

    Correct answer: D. 32

    Each term increases by 7: 4 + 7 = 11, 11 + 7 = 18, 18 + 7 = 25, so the next term is 25 + 7 = 32. This is an arithmetic sequence with common difference 7.

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    easy
  2. 2

    What comes next: 2, 6, 18, 54, ___?

    Correct answer: A. 162

    Each term is three times the previous one: 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54, so the next is 54 × 3 = 162. This is a geometric sequence with ratio 3.

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    easy
  3. 3

    What comes next: 1, 2, 4, 7, 11, ___?

    Correct answer: A. 16

    The differences are 1, 2, 3 and 4, increasing by one, so the next difference is 5: 11 + 5 = 16.

    easy
  4. 4

    What comes next: 1, 8, 27, 64, ___?

    Correct answer: D. 125

    These are the cubes 1³, 2³, 3³ and 4³, so the next term is 5³ = 125. Learning the cubes up to 10³ makes such series easy to recognise.

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    easy
  5. 5

    What comes next: 3, 5, 9, 17, 33, ___?

    Correct answer: C. 65

    Each term is double the previous term minus 1: 3 × 2 − 1 = 5, 5 × 2 − 1 = 9, and so on, so 33 × 2 − 1 = 65. The differences 2, 4, 8, 16 also double each time.

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    medium
  6. 6

    What comes next: 2, 5, 10, 17, 26, ___?

    Correct answer: A. 37

    Each term is a perfect square plus 1: 1²+1 = 2, 2²+1 = 5, 3²+1 = 10, 4²+1 = 17, 5²+1 = 26, so the next is 6²+1 = 37.

    medium
  7. 7

    What comes next: 1, 1, 2, 3, 5, 8, ___?

    Correct answer: D. 13

    This is the Fibonacci sequence: each term is the sum of the two before it. 5 + 8 = 13.

    easy
  8. 8

    What comes next: 64, 32, 16, 8, ___?

    Correct answer: A. 4

    Each term is half of the previous one: 64 ÷ 2 = 32, and so on, so 8 ÷ 2 = 4.

    easy
  9. 9

    What comes next: 5, 10, 8, 16, 14, 28, ___?

    Correct answer: B. 26

    The rule alternates: × 2, then − 2. 5 × 2 = 10, 10 − 2 = 8, 8 × 2 = 16, 16 − 2 = 14, 14 × 2 = 28, so the next step is 28 − 2 = 26.

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    hard
  10. 10

    Find the missing term: 3, 7, ___, 15, 19

    Correct answer: C. 11

    The terms increase by 4 each time: 3, 7, 11, 15, 19. The missing term is 7 + 4 = 11, and 11 + 4 = 15 confirms it.

    easy
  11. 11

    Find the missing term: 2, 4, 12, ___, 240

    Correct answer: D. 48

    The multipliers increase by one each time: × 2, × 3, × 4, × 5. So 12 × 4 = 48, and 48 × 5 = 240 confirms the pattern.

    hard
  12. 12

    What comes next: 100, 91, 83, 76, 70, ___?

    Correct answer: A. 65

    The differences are −9, −8, −7 and −6, shrinking by one each time, so the next difference is −5: 70 − 5 = 65.

    medium
  13. 13

    What comes next: 1, 3, 6, 10, 15, ___?

    Correct answer: C. 21

    These are triangular numbers: add 2, 3, 4, 5 and then 6. So 15 + 6 = 21.

    easy
  14. 14

    What comes next: 7, 14, 28, 56, ___?

    Correct answer: D. 112

    Each term doubles: 56 × 2 = 112. It is also 7 × 1, 7 × 2, 7 × 4, 7 × 8, so the next is 7 × 16 = 112.

    easy
  15. 15

    What comes next: 11, 13, 17, 19, 23, ___?

    Correct answer: A. 29

    These are consecutive prime numbers. After 23, the next prime is 29, since 24, 25, 26, 27 and 28 all have other factors.

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    medium
  16. 16

    Find the missing term: 81, ___, 49, 36, 25

    Correct answer: C. 64

    These are perfect squares in decreasing order: 9², 8², 7², 6², 5². The missing term is 8² = 64.

    easy
  17. 17

    What comes next: 1, 4, 13, 40, ___?

    Correct answer: C. 121

    Each term is three times the previous one plus 1: 1 × 3 + 1 = 4, 4 × 3 + 1 = 13, 13 × 3 + 1 = 40, so 40 × 3 + 1 = 121.

    hard
  18. 18

    What comes next: 20, 18, 21, 19, 22, 20, ___?

    Correct answer: A. 23

    The rule alternates: − 2, then + 3. 20 − 2 = 18, 18 + 3 = 21, 21 − 2 = 19, 19 + 3 = 22, 22 − 2 = 20, so the next is 20 + 3 = 23.

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    hard
  19. 19

    What comes next: 0, 3, 8, 15, 24, ___?

    Correct answer: D. 35

    Each term is one less than a perfect square: 1−1, 4−1, 9−1, 16−1, 25−1. The next is 36 − 1 = 35. The differences 3, 5, 7, 9, 11 also confirm it.

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    medium
  20. 20

    What comes next: 6, 12, 10, 20, 18, ___?

    Correct answer: A. 36

    The rule alternates: × 2, then − 2. 6 × 2 = 12, 12 − 2 = 10, 10 × 2 = 20, 20 − 2 = 18, so the next step is 18 × 2 = 36.

    hard