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Number Series Reasoning

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  1. Question 1 of 24
    1. Question

    What is the next number in this sequence ?

    1, 3, 8, 19, 42, 89, ..?..

    Hint

    Each of the numbers is doubled and 1, 2, 3, 4, 5, 6 is added in next term,
    so, 89 × 2 + 6 = 184.

  2. Question 2 of 24
    2. Question

    Which is the number that comes next in this sequence?

    5, 16, 51, 158, ..?..

    Hint

    16 = 5 × 3 + 1, 51 = 16 × 3 + 3, 158 = 51 × 3 + 5
    ∴ Next term = 158 × 3 + 7 = 481

  3. Question 3 of 24
    3. Question

    Which one of the numbers will complete the series ?

    8, 13, 10, 15, 12, 17, 14 ..?..

    Hint

    Second term is greater than first term by 5, while the third term is less than the second term by 3. The same order is repeated.

  4. Question 4 of 24
    4. Question

    Which one of the numbers will complete the series ?

    6.25, 9, 12.25, 16, 20.25, 25, 30.25, ..?..

    Hint

    There are two alternate series
    Series I: 6.25, 12.25, 20.25, 30.25 (sequence is +6, +8, +10)
    Series II: 9, 16, 25, 36, (sequence is +7, +9, +11)
    series-24567.png

  5. Question 5 of 24
    5. Question

    What number will come next in the following series?

    2, 2, 4, 4, 6, 8, 8, ..?..

    Hint

    The given series consists of 2 series
    (i) 2, 4, 6, 8 ………….
    (ii) 2, 4, 8 ………….
    Series (i) → 2× 1, 2 × 2, 2 × 3 , 2 × 4 …….
    Series (ii) → 2, 2× 2, 4 × 2, 8 × 2 = 16 …….

  6. Question 6 of 24
    6. Question

    What number will come next in the following series?

    2, 12, 36, 80, 150, ..?..

    Hint

    1³ + 1² = 2, 2³ + 2² = 12, 3³ + 3² = 36 and so on
    ∴ 6³ + 6² = 252

  7. Question 7 of 24
    7. Question

    Which number will come next in the following set of numbers

    3, 13, 53, 213 ..?..

    Hint

    The difference in consecutive numbers follows the sequence, 10, 40, 160.
    So the next difference = 160 × 4 = 640
    Therefore number = 213 + 640 = 853.

  8. Question 8 of 24
    8. Question

    Which number will come next in the following set of numbers?

    2, 5, 7, 12, 15, 17, 22 ..?..

    Hint

    2+3 = 5, 5+2 = 7, 7+5 = 12, 12+3 = 15, 15+2 = 17, 17+5 = 22.
    Note that 3,2,5 are being added that order to various numbers to get the next number. Therefore, 3 should be added to 22 to get the answer.

  9. Question 9 of 24
    9. Question

    Which number will come next in the following series

    8,15,28,53, ..?..

    Hint

    8 × 2 – 1 = 15,
    15 × 2 – 2 = 28,
    28 × 2 – 3 = 53,
    53 × 2 – 4 =102

  10. Question 10 of 24
    10. Question

    Which number will come next in the following series

    3, 12, 27, 48, 75, 108, ..?..

    Hint

    The numbers are 3 × 1², 3 × 2², 3 × 3², 3 × 4², 3 × 5², 3 × 6², ……
    ∴ Missing number = 3 × 7² = 3 × 49 = 147

  11. Question 11 of 24
    11. Question

    Which numbers will come next in the following series?

    1, 8, 9, 64, 25, 216, ..?.., ..?..

    Hint

    The odd terms are squares of the numbers 1, 3, 5, …. while the even terms are cubes of the numbers 2,4,6,….

  12. Question 12 of 24
    12. Question

    Which number will fit in the following series

    3, 15, 4, 16, 5, 17, 6, ..?.., 7

    Hint

    There are two alternate series.
    1st series : 3, 4, 5, 6, 7 …….. and so on.
    2nd series : 15, 16, 17,18, 19 ……. and so on.

  13. Question 13 of 24
    13. Question

    Find the missing term in the following series.

    240, ..?.. 120, 40, 10, 2

    Hint

    Ratios of two consecutive terms are
    1, ½, ⅓, ¼, and ⅕ respectively.

  14. Question 14 of 24
    14. Question

    Which number will fit in the following series?

    0, 7, 26, ..?.., 124, 215

    Hint

    Clearly the given series is 1³ – 1, 2³ – 1, 3³ – 1, 4³ – 1, 5³ – 1, 6³ – 1.
    So, the missing number is 4³ – 1 = 63.

  15. Question 15 of 24
    15. Question

    Which number will fit in the following series?

    4, 16, 36, ..?.., 100, 144

    Hint

    The numbers in the series are square of 2,4,6 …,10,12 .
    Therefore, the missing number is square of 8 i.e. 8² = 64.

  16. Question 16 of 24
    16. Question

    Find the missing number in the series :

    6, 12, 21, ..?.., 48

    Hint

    The common differences between the consecutive terms of the series are 6, 9, 12, 15, etc.

  17. Question 17 of 24
    17. Question

    Which one number does not belong to the series ?

    3, 5, 8, 11, 17, 23

    Hint

    Differences between two consecutive terms are 2, 3, 4, 5 and 6 respectively.

  18. Question 18 of 24
    18. Question

    Which one number does not belong to the series ?

    905, 180, 175, 35, 30, 6, 1

    Hint

    The sequence followed in the series is ÷5, –5 which is repeated.
    series-24484.png
    ∴ 900 should be in place of 905.

  19. Question 19 of 24
    19. Question

    Which one of the numbers is wrong in the series given below ?

    3, 2, 8, 9, 13, 22, 18, 32, 23, 42

    Hint

    There are 2 series :
    3, 8, 13, 18, 23 and 2, 12, 22, 32, 42. Hence 9 is wrong.

  20. Question 20 of 24
    20. Question

    Which one of the numbers is wrong in the series given below?

    12, 18, 27, 90, 270, 945, 3780

    Hint

    If 27 is replaced by 36, then the ratios of two consecutive terms are 3/2, 2, 5/2, 3, …

  21. Question 21 of 24
    21. Question

    Find the wrong number in the series :

    7, 28, 63, 124, 215, 342, 511

    Hint

    The series is
    2³ – 1, 3³ – 1, 4³ – 1, 5³ – 1, 6³ – 1, 7³ – 1, 8³ – 1

  22. Question 22 of 24
    22. Question

    Which one number does not belong to the series ?

    11, 2, 21, 3, 32, 4, 41, 5, 51, 6

    Hint

    The given sequence is a combination of two series:
    I. 11, 21, 32, 41, 51 and II. 2, 3, 4, 5, 6
    Clearly, the pattern in I is +10
    So, 32 is wrong and should be replaced by (21 + 10) i.e. 31.

  23. Question 23 of 24
    23. Question

    Which one of the numbers is wrong in the series given below ?

    89, 78, 86, 80, 85, 82, 83

    Hint

    The sequence is –11, +9, –7, +5, –3, +1
    So, 86 is wrong and should be replaced by (78 + 9) i.e. 87.

  24. Question 24 of 24
    24. Question

    Which one of the numbers is wrong in the series given below ?

    5, 10, 17, 24, 37

    Hint

    The sequence is +5, +7, …… .
    So, 24 is wrong and should be replaced by (17 + 9) i.e. 26.

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