FIA Sub-Inspector (BS-14) math iq: Series Completion MCQs

Practice Series Completion MCQs for FIA Sub-Inspector (BS-14) math iq — topic-wise sets with solved answers.

FIA Sub-Inspector (BS-14) math iq: Series Completion MCQs — sample questions

  1. Question 1

    Q1. Complete the series: 1, 2, 4, 8, 16, ?

    • A) 32
    • B) 31
    • C) 30
    • D) 29

    Answer: 32

    Explanation: The series is obtained by doubling the previous term, a classic example of a geometric progression.

  2. Question 2

    Q2. Complete the series: 2, 6, 12, 20, 30, ?

    • A) 42
    • B) 40
    • C) 38
    • D) 36

    Answer: 42

    Explanation: The difference between consecutive terms increases by 2, 4, 6, 8, ... , indicating a quadratic relationship.

  3. Question 3

    Q3. Complete the series: 1, 4, 9, 16, 25, ?

    • A) 36
    • B) 35
    • C) 34
    • D) 33

    Answer: 36

    Explanation: The series consists of perfect squares of natural numbers, i.e., 1², 2², 3², 4², 5², ... .

  4. Question 4

    Q4. Complete the series: 3, 6, 9, 12, 15, ?

    • A) 18
    • B) 17
    • C) 19
    • D) 20

    Answer: 18

    Explanation: The series is an arithmetic progression with a common difference of 3.

  5. Question 5

    Q5. Complete the series: 1, 3, 5, 7, 9, ?

    • A) 11
    • B) 10
    • C) 12
    • D) 13

    Answer: 11

    Explanation: The series consists of consecutive odd numbers, with a common difference of 2.

  6. Question 6

    Q6. Complete the series: 2, 5, 8, 11, 14, ?

    • A) 17
    • B) 16
    • C) 18
    • D) 19

    Answer: 17

    Explanation: The series is an arithmetic progression with a common difference of 3.

  7. Question 7

    Q7. Complete the series: 4, 9, 16, 25, 36, ?

    • A) 49
    • B) 48
    • C) 50
    • D) 47

    Answer: 49

    Explanation: The series consists of perfect squares of natural numbers, starting from 2².

  8. Question 8

    Q8. Complete the series: 1, 2, 6, 24, 120, ?

    • A) 720
    • B) 719
    • C) 721
    • D) 718

    Answer: 720

    Explanation: The series consists of factorials, i.e., 1!, 2!, 3!, 4!, 5!, ... .

  9. Question 9

    Q9. Complete the series: 2, 4, 8, 16, 32, ?

    • A) 64
    • B) 63
    • C) 65
    • D) 62

    Answer: 64

    Explanation: The series is obtained by doubling the previous term, a classic example of a geometric progression.

  10. Question 10

    Q10. Complete the series: 5, 10, 15, 20, 25, ?

    • A) 30
    • B) 29
    • C) 31
    • D) 32

    Answer: 30

    Explanation: The series is an arithmetic progression with a common difference of 5.

  11. Question 11

    Q11. Complete the series: 3, 9, 27, 81, 243, ?

    • A) 729
    • B) 728
    • C) 730
    • D) 727

    Answer: 729

    Explanation: The series is obtained by multiplying the previous term by 3, a classic example of a geometric progression.

  12. Question 12

    Q12. Complete the series: 1, 8, 27, 64, 125, ?

    • A) 216
    • B) 215
    • C) 217
    • D) 214

    Answer: 216

    Explanation: The series consists of perfect cubes of natural numbers, i.e., 1³, 2³, 3³, 4³, 5³, ... .

  13. Question 13

    Q13. Complete the series: 2, 7, 12, 17, 22, ?

    • A) 27
    • B) 26
    • C) 28
    • D) 29

    Answer: 27

    Explanation: The series is an arithmetic progression with a common difference of 5.

  14. Question 14

    Q14. Complete the series: 4, 12, 36, 108, 324, ?

    • A) 972
    • B) 971
    • C) 973
    • D) 970

    Answer: 972

    Explanation: The series is obtained by multiplying the previous term by 3, a classic example of a geometric progression.

  15. Question 15

    Q15. Complete the series: 1, 6, 15, 28, 45, ?

    • A) 66
    • B) 65
    • C) 67
    • D) 64

    Answer: 66

    Explanation: The series consists of numbers that increase by a growing difference: +5, +9, +13, +17, ... .

  16. Question 16

    Q16. Complete the series: 9, 16, 25, 36, 49, ?

    • A) 64
    • B) 63
    • C) 65
    • D) 62

    Answer: 64

    Explanation: The series consists of perfect squares of natural numbers, starting from 3².

  17. Question 17

    Q17. Complete the series: 3, 5, 9, 17, 33, ?

    • A) 65
    • B) 64
    • C) 66
    • D) 63

    Answer: 65

    Explanation: The series is formed by adding 2, 4, 8, 16, ... to the previous term, a classic example of a sequence related to powers of 2.

  18. Question 18

    Q18. Complete the series: 2, 10, 30, 68, 130, ?

    • A) 222
    • B) 221
    • C) 223
    • D) 220

    Answer: 222

    Explanation: The series is formed by the formula n³ + 1, where n = 1, 2, 3, ... .

  19. Question 19

    Q19. Complete the series: 1, 3, 7, 15, 31, ?

    • A) 63
    • B) 62
    • C) 64
    • D) 61

    Answer: 63

    Explanation: The series is obtained by subtracting 1 from the powers of 2, i.e., 2^n - 1.

  20. Question 20

    Q20. Complete the series: 8, 27, 64, 125, 216, ?

    • A) 343
    • B) 342
    • C) 344
    • D) 341

    Answer: 343

    Explanation: The series consists of perfect cubes of natural numbers, starting from 2³.

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