PYQ Vault

Number series: differences grow or shrink by a fixed step (second differences constant)

This type of question, asked 37 times: 14 Jul 2023 S2, 14 Jul 2023 S4, 17 Jul 2023 S1, 17 Jul 2023 S3, 17 Jul 2023 S4, 18 Jul 2023 S1, 18 Jul 2023 S3, 18 Jul 2023 S4, 19 Jul 2023 S1, 19 Jul 2023 S3, 19 Jul 2023 S4, 20 Jul 2023 S3, 25 Jul 2023 S4, 26 Jul 2023 S1, 26 Jul 2023 S3, 27 Jul 2023 S2, 9 Sep 2024 S2, 9 Sep 2024 S3, 10 Sep 2024 S2, 12 Sep 2024 S1, 17 Sep 2024 S2, 19 Sep 2024 S3, 23 Sep 2024 S2, 24 Sep 2024 S1, 25 Sep 2024 S1, 25 Sep 2024 S2, 25 Sep 2024 S3, 26 Sep 2024 S3, 12 Sep 2025 S2, 15 Sep 2025 S3, 19 Sep 2025 S3, 22 Sep 2025 S1, 22 Sep 2025 S3, 23 Sep 2025 S2, 23 Sep 2025 S3, 24 Sep 2025 S1, 26 Sep 2025 S1. All 37 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S2

    4
    Which number should replace the question mark (?) in the following number series? 39, 42, 48, 57, 69, ?, 102

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  2. Question 2

    14 Jul 2023 S4

    4
    Which of the following numbers will replace the question mark (?) in the given series? 15, ?, 27, 39, 55, 75

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  3. Question 3

    17 Jul 2023 S1

    4
    Which of the following numbers will replace the question mark (?) in the given series? 19, 26, ?, 46, 59, 74

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  4. Question 4

    17 Jul 2023 S3

    5
    Select the number from among the given options that can replace the question mark (?) in the following series. 80, 73, 64, 53, 40, ?

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  5. Question 5

    17 Jul 2023 S4

    18
    Which of the following numbers will replace the question mark (?) in the given series? 325, 271, 226, ? , 163, 145, 136

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  6. Question 6

    18 Jul 2023 S1

    7
    Which of the following numbers will replace the question mark (?) in the given series? 108, 99, 88, ? , 60, 43

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  7. Question 7

    18 Jul 2023 S3

    15
    Select the number from among the given options that can replace the question mark (?) in the following series. 4, 11, 20, 31, 44, ?

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  8. Question 8

    18 Jul 2023 S4

    2
    Which of the following numbers will replace the question mark (?) in the given series? 11, ?, 20, 29, 41, 56

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  9. Question 9

    19 Jul 2023 S1

    22
    Which of the following numbers will replace the question mark (?) in the given series? 3, 12, ?, 39, 57, 78

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  10. Question 10

    19 Jul 2023 S3

    4
    Which of the following numbers will replace the question mark (?) in the given series? 17, ?, 35, 53, 77, 107

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  11. Question 11

    19 Jul 2023 S4

    9
    Which of the following numbers will replace the question mark (?) in the given series? 15, 17, ? , 33, 47, 65

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  12. Question 12

    20 Jul 2023 S3

    11
    Select the number from among the given options that can replace the question mark (?) in the following series. 17, 24, 38, 59, 87, ?

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  13. Question 13

    25 Jul 2023 S4

    18
    Which of the following numbers will replace the question mark (?) in the given series? 32, ? , 44, 56, 72, 92

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  14. Question 14

    26 Jul 2023 S1

    2
    Which of the following numbers will replace the question mark (?) in the given series? 8, 14, ? , 44, 68, 98, 134

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  15. Question 15

    26 Jul 2023 S3

    23
    Which of the following numbers will replace the question mark (?) in the given series? 214, 207, 193, ? , 144, 109

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  16. Question 16

    27 Jul 2023 S2

    8
    Which of the following numbers will replace the question mark (?) in the given series? 232, 221, 199, ? , 122, 67

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  17. Question 17

    9 Sep 2024 S2

    14
    Select the number from among the given options that can replace the question mark (?) in the following series. 99, 123, 150, 180, 213, ?

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  18. Question 18

    9 Sep 2024 S3

    20
    Select the number from the given options to complete the series. 35, 38, 43, 50, 59, ___

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  19. Question 19

    10 Sep 2024 S2

    15
    Select the number from among the given options that can replace the question mark (?) in the following series. 543, 518, 495, 474, 455, ?

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  20. Question 20

    12 Sep 2024 S1

    15
    Select the number from the given options to complete the series. 25, 30, 40, 55, 75, ___

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  21. Question 21

    17 Sep 2024 S2

    24
    Select the number from among the given options that can replace the question mark (?) in the following series. 949, 1006, 1066, 1129, 1195, ?

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  22. Question 22

    19 Sep 2024 S3

    8
    Select the number from the given options to complete the series. 58, 70, 83, 97, ___

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  23. Question 23

    23 Sep 2024 S2

    2
    Which of the following numbers will replace the question mark (?) in the given series? 81, 65, 50, ?, 23, 11

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  24. Question 24

    24 Sep 2024 S1

    3
    Select the number from the given options to complete the series. 32, 36, 44, 56, 72, ___

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  25. Question 25

    25 Sep 2024 S1

    15
    Select the number from among the given options that can replace the question mark (?) in the following series. 35, 46, 68, 101, 145, ?

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  26. Question 26

    25 Sep 2024 S2

    1
    Select the number from among the given options that can replace the question mark (?) in the following series. 66, 75, 86, 99, 114, ?

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  27. Question 27

    25 Sep 2024 S3

    15
    Which of the following numbers will replace the question marks (?) in the given series? 88, 78, 70, 64, 60, ?, ?

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  28. Question 28

    26 Sep 2024 S3

    19
    Select the number from among the given options that can replace the question mark (?) in the following series. 672, 677, 686, 699, 716, ?

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  29. Question 29

    12 Sep 2025 S2

    5
    Complete the series: ___________, 150, 183, 219, 258

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  30. Question 30

    15 Sep 2025 S3

    8
    Complete the series: 28, 42,59,79,102, ?

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  31. Question 31

    19 Sep 2025 S3

    12
    Complete the given pattern : 13, 17, 23, 31, 41, ?

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  32. Question 32

    22 Sep 2025 S1

    21
    What should come at the place of question mark? 100, 97, 91, 82, ?, 55

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  33. Question 33

    22 Sep 2025 S3

    19
    What should come at the place of question mark? 3, 7, 14, 24, 37, ?

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  34. Question 34

    23 Sep 2025 S2

    24
    1, 3, 6, 10, 15, ?

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  35. Question 35

    23 Sep 2025 S3

    4
    What should come in place of the question mark '?' in the following number series? 9, 14, 24, 39, 59, ?, 114

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  36. Question 36

    24 Sep 2025 S1

    24
    2, 3, 5, 8, 12, 17, ?

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  37. Question 37

    26 Sep 2025 S1

    19
    Complete the series. 2, 4, 7, 11, 16, ?

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