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Number Series - Practice MCQs for CCAT

60 Questions Section A: Fundamentals Reasoning

Number Series Question Bank for C-CAT

Topic-wise Number Series MCQs for CDAC C-CAT preparation with answers and explanations.

Q1.
Complete the series: 2, 6, 12, 20, 30, ?
A40
B44
C42
D46
Show Answer & Explanation

Correct Answer: C - 42

Differences: 4, 6, 8, 10, 12. Next = 30 + 12 = 42.

Q2.
Find the next number: 1, 4, 9, 16, 25, ?
A30
B36
C35
D49
Show Answer & Explanation

Correct Answer: B - 36

Pattern: 1², 2², 3², 4², 5², 6². Next = 36.

Q3.
Complete: 3, 6, 11, 18, 27, ?
A36
B38
C40
D42
Show Answer & Explanation

Correct Answer: B - 38

Differences: 3, 5, 7, 9, 11. Next = 27 + 11 = 38.

Q4.
Find the missing number: 2, 3, 5, 7, 11, 13, ?
A15
B17
C19
D21
Show Answer & Explanation

Correct Answer: B - 17

These are prime numbers. Next prime after 13 is 17.

Q5.
Complete: 1, 1, 2, 3, 5, 8, ?
A11
B12
C15
D13
Show Answer & Explanation

Correct Answer: D - 13

Fibonacci series: each number is sum of previous two. 5+8 = 13.

Q6.
Find the next: 2, 6, 18, 54, ?
A108
B216
C162
D180
Show Answer & Explanation

Correct Answer: C - 162

Each term is multiplied by 3. 54 × 3 = 162.

Q7.
Complete: 100, 95, 85, 70, 50, ?
A20
B35
C30
D25
Show Answer & Explanation

Correct Answer: D - 25

Differences: -5, -10, -15, -20, -25. Next = 50 - 25 = 25.

Q8.
Find the next: 1, 8, 27, 64, 125, ?
A196
B343
C256
D216
Show Answer & Explanation

Correct Answer: D - 216

Pattern: 1³, 2³, 3³, 4³, 5³, 6³. Next = 216.

Q9.
Complete: 4, 6, 9, 13.5, ?
A18
B19.25
C21
D20.25
Show Answer & Explanation

Correct Answer: D - 20.25

Each term multiplied by 1.5: 4×1.5=6, 6×1.5=9, 9×1.5=13.5, 13.5×1.5=20.25.

Q10.
Find the next: 2, 5, 10, 17, 26, ?
A35
B37
C39
D41
Show Answer & Explanation

Correct Answer: B - 37

Differences: 3, 5, 7, 9, 11. Next = 26 + 11 = 37.

Q11.
Complete the series: 7, 14, 28, 56, ?
A98
B128
C112
D140
Show Answer & Explanation

Correct Answer: C - 112

Each term is doubled. 56 × 2 = 112.

Q12.
Find the missing: 1, 4, 27, 256, ?
A625
B1024
C3125
D4096
Show Answer & Explanation

Correct Answer: C - 3125

Pattern: 11, 22, 33, 44, 55. Next = 3125.

Q13.
Complete: 5, 11, 23, 47, ?
A93
B99
C97
D95
Show Answer & Explanation

Correct Answer: D - 95

Pattern: ×2+1. 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.

Q14.
Find the odd one out: 2, 5, 10, 17, 26, 37, 50, 64
A64
B37
C50
D26
Show Answer & Explanation

Correct Answer: A - 64

Pattern: n²+1 (2,5,10,17,26,37,50). 64 should be 65 (8²+1), so 64 is odd one out.

Q15.
Complete: 3, 7, 15, 31, 63, ?
A125
B127
C128
D131
Show Answer & Explanation

Correct Answer: B - 127

Pattern: 2n - 1. 2²-1=3, 2³-1=7, 2⁴-1=15, 2⁵-1=31, 2⁶-1=63, 2⁷-1=127.

Q16.
Find the next: 1, 3, 6, 10, 15, 21, ?
A25
B27
C28
D30
Show Answer & Explanation

Correct Answer: C - 28

Triangular numbers: differences are 2,3,4,5,6,7. Next = 21+7 = 28.

Q17.
Complete: 2, 3, 5, 7, 11, 13, ?
A17
B15
C19
D21
Show Answer & Explanation

Correct Answer: A - 17

Prime number series. Next prime after 13 is 17.

Q18.
Find: 1, 2, 6, 24, 120, ?
A480
B600
C720
D840
Show Answer & Explanation

Correct Answer: C - 720

Factorial series: 1!, 2!, 3!, 4!, 5!, 6!. 6! = 720.

Q19.
Complete: 4, 9, 25, 49, 121, ?
A144
B225
C196
D169
Show Answer & Explanation

Correct Answer: D - 169

Squares of primes: 2², 3², 5², 7², 11², 13². Next = 169.

Q20.
Find the wrong number: 1, 2, 4, 8, 16, 32, 65
A65
B16
C32
D2
Show Answer & Explanation

Correct Answer: A - 65

Powers of 2: 1,2,4,8,16,32,64. 65 should be 64.

Q21.
What comes next in the series: 2, 6, 18, 54, __?
A108
B180
C148
D162
Show Answer & Explanation

Correct Answer: D - 162

Each number is multiplied by 3. 54 × 3 = 162.

Q22.
Find the next number in the series: 5, 11, 23, 47, __?
A94
B93
C96
D95
Show Answer & Explanation

Correct Answer: D - 95

Each number is doubled and then 1 is added. 47 × 2 + 1 = 95.

Q23.
What is the next term in the series: 3, 9, 27, 81, __?
A162
B189
C324
D243
Show Answer & Explanation

Correct Answer: D - 243

Each term is multiplied by 3. 81 × 3 = 243.

Q24.
Find the missing number: 1, 4, 9, 16, 25, __?
A30
B49
C35
D36
Show Answer & Explanation

Correct Answer: D - 36

These are perfect squares: 1², 2², 3², 4², 5², 6² = 36.

Q25.
What comes next: 2, 3, 5, 7, 11, 13, __?
A15
B17
C19
D14
Show Answer & Explanation

Correct Answer: B - 17

These are consecutive prime numbers. The next prime after 13 is 17.

Q26.
Find the next number in the series: 1, 1, 2, 3, 5, 8, __?
A13
B12
C11
D10
Show Answer & Explanation

Correct Answer: A - 13

This is the Fibonacci series where each number is the sum of the two preceding numbers. 5 + 8 = 13.

Q27.
What comes next: 7, 14, 28, 56, __?
A84
B96
C112
D108
Show Answer & Explanation

Correct Answer: C - 112

Each number is doubled. 56 × 2 = 112.

Q28.
Find the next term: 100, 95, 85, 70, 50, __?
A25
B30
C20
D35
Show Answer & Explanation

Correct Answer: A - 25

Differences: -5, -10, -15, -20, -25. So 50 - 25 = 25.

Q29.
What is the missing number: 4, 8, 16, 32, __, 128?
A48
B64
C56
D72
Show Answer & Explanation

Correct Answer: B - 64

Each number doubles. 32 × 2 = 64.

Q30.
Find the next number: 1, 3, 7, 15, 31, __?
A47
B55
C63
D61
Show Answer & Explanation

Correct Answer: C - 63

Pattern: each term = previous × 2 + 1. 31 × 2 + 1 = 63. Also: 2ⁿ - 1 series (1,3,7,15,31,63).

Q31.
What comes next in the series: 2, 5, 10, 17, 26, __?
A35
B37
C34
D39
Show Answer & Explanation

Correct Answer: B - 37

Differences: 3, 5, 7, 9. Next difference is 11. 26 + 11 = 37. Pattern: n² + 1 for n = 1,2,3,4,5,6.

Q32.
Find the missing letter: A, C, F, J, __?
AO
BN
CM
DP
Show Answer & Explanation

Correct Answer: A - O

Gaps between letters: +2, +3, +4, +5. J + 5 = O.

Q33.
What is the next letter in the series: Z, X, V, T, __?
AS
BR
CQ
DP
Show Answer & Explanation

Correct Answer: B - R

Each letter goes back by 2 positions. T - 2 = R.

Q34.
Find the next term: B, D, G, K, __?
AN
BO
CP
DQ
Show Answer & Explanation

Correct Answer: C - P

Gaps: +2, +3, +4, +5. K(11) + 5 = P(16).

Q35.
What comes next: AZ, BY, CX, DW, __?
AFV
BEU
CEV
DEW
Show Answer & Explanation

Correct Answer: C - EV

First letter increases A→B→C→D→E, second letter decreases Z→Y→X→W→V. Next: EV.

Q36.
Find the next number: 6, 12, 24, 48, 96, __?
A192
B168
C144
D180
Show Answer & Explanation

Correct Answer: A - 192

Each term doubles. 96 × 2 = 192.

Q37.
What is the next term: 1, 8, 27, 64, __?
A100
B125
C150
D216
Show Answer & Explanation

Correct Answer: B - 125

These are cubes: 1³, 2³, 3³, 4³, 5³ = 125.

Q38.
Find the missing number: 3, 6, 11, 18, 27, __?
A36
B40
C38
D35
Show Answer & Explanation

Correct Answer: C - 38

Differences: 3, 5, 7, 9. Next difference is 11. 27 + 11 = 38.

Q39.
What comes next: 4, 9, 25, 49, 121, __?
A144
B169
C196
D225
Show Answer & Explanation

Correct Answer: B - 169

Squares of primes: 2²=4, 3²=9, 5²=25, 7²=49, 11²=121, 13²=169.

Q40.
Find the next number: 0, 1, 1, 2, 3, 5, 8, 13, __?
A21
B20
C18
D19
Show Answer & Explanation

Correct Answer: A - 21

Fibonacci sequence. 8 + 13 = 21.

Q41.
What comes next: 10, 20, 40, 80, __?
A100
B160
C120
D140
Show Answer & Explanation

Correct Answer: B - 160

Each number doubles. 80 × 2 = 160.

Q42.
Find the next term: 1, 2, 6, 24, 120, __?
A720
B600
C620
D840
Show Answer & Explanation

Correct Answer: A - 720

Factorials: 1!, 2!, 3!, 4!, 5!, 6! = 720.

Q43.
What is next: 5, 10, 20, 35, 55, __?
A75
B70
C85
D80
Show Answer & Explanation

Correct Answer: D - 80

Differences: 5, 10, 15, 20. Next difference is 25. 55 + 25 = 80.

Q44.
Find the next letter: M, O, R, V, __?
AA
BZ
CY
DX
Show Answer & Explanation

Correct Answer: A - A

The gaps are +2, +3, and +4. The next gap is +5, so V + 5 wraps around to A.

Q45.
What comes next in the series: 11, 13, 17, 19, 23, 29, __?
A31
B33
C35
D37
Show Answer & Explanation

Correct Answer: A - 31

These are consecutive prime numbers. The next prime after 29 is 31.

Q46.
Find the next number: 2, 6, 12, 20, 30, __?
A40
B44
C42
D46
Show Answer & Explanation

Correct Answer: C - 42

Pattern: n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42.

Q47.
What is the next term: 144, 121, 100, 81, 64, __?
A50
B49
C48
D36
Show Answer & Explanation

Correct Answer: B - 49

Perfect squares in descending order: 12², 11², 10², 9², 8², 7² = 49.

Q48.
Find the missing number: 1, 4, 27, 256, __?
A3125
B1024
C625
D2048
Show Answer & Explanation

Correct Answer: A - 3125

Pattern: nⁿ. 1¹=1, 2²=4, 3³=27, 4⁴=256, 5⁵=3125.

Q49.
What comes next: 3, 5, 9, 15, 23, __?
A31
B29
C35
D33
Show Answer & Explanation

Correct Answer: D - 33

Differences: 2, 4, 6, 8. Next difference is 10. 23 + 10 = 33.

Q50.
Find the next number: 1, 3, 6, 10, 15, 21, __?
A28
B27
C25
D30
Show Answer & Explanation

Correct Answer: A - 28

Triangular numbers: differences increase by 1 each time (2,3,4,5,6,7). 21 + 7 = 28.

Q51.
Find the next term: 2, 6, 12, 20, 30, ?
A40
B42
C44
D46
Show Answer & Explanation

Correct Answer: B - 42

Terms are n(n+1): 1x2, 2x3, 3x4, 4x5, 5x6, next 6x7=42.

Q52.
Find the next term: 3, 7, 15, 31, 63, ?
A95
B111
C127
D129
Show Answer & Explanation

Correct Answer: C - 127

Each term is previous x2 +1. 63x2+1=127.

Q53.
Find the missing number: 5, 11, 23, ?, 95, 191
A45
B47
C49
D51
Show Answer & Explanation

Correct Answer: B - 47

Pattern x2+1: 5->11->23->47->95->191.

Q54.
Find the next term: 1, 4, 9, 16, 25, ?
A30
B36
C40
D49
Show Answer & Explanation

Correct Answer: B - 36

These are perfect squares: 12, 22, ..., next 62=36.

Q55.
Find the next term: 2, 3, 5, 8, 13, 21, ?
A31
B32
C34
D35
Show Answer & Explanation

Correct Answer: C - 34

Fibonacci-style series: each term is sum of previous two. 13+21=34.

Q56.
Find the next term: 81, 64, 49, 36, ?
A25
B27
C30
D32
Show Answer & Explanation

Correct Answer: A - 25

Descending squares: 92, 82, 72, 62, next 52=25.

Q57.
Find the missing term: 4, 9, 19, 39, ?, 159
A79
B81
C83
D85
Show Answer & Explanation

Correct Answer: A - 79

Pattern x2+1: 4->9->19->39->79->159.

Q58.
Find the next letter series term: A, C, F, J, O, ?
AS
BT
CU
DV
Show Answer & Explanation

Correct Answer: C - U

Position gaps are +2,+3,+4,+5, so next gap +6 gives U.

Q59.
Find the next term: 7, 10, 16, 28, 52, ?
A88
B96
C100
D104
Show Answer & Explanation

Correct Answer: C - 100

Differences are 3,6,12,24, so next difference 48 gives 100.

Q60.
Find the next term: 11, 13, 17, 19, 23, ?
A25
B27
C29
D31
Show Answer & Explanation

Correct Answer: C - 29

The series lists consecutive prime numbers after 10. Next is 29.

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