Number Series Question Bank for C-CAT
Topic-wise Number Series MCQs for CDAC C-CAT preparation with answers and explanations.
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Correct Answer: C - 42
Differences: 4, 6, 8, 10, 12. Next = 30 + 12 = 42.
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Correct Answer: B - 36
Pattern: 1², 2², 3², 4², 5², 6². Next = 36.
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Correct Answer: B - 38
Differences: 3, 5, 7, 9, 11. Next = 27 + 11 = 38.
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Correct Answer: B - 17
These are prime numbers. Next prime after 13 is 17.
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Correct Answer: D - 13
Fibonacci series: each number is sum of previous two. 5+8 = 13.
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Correct Answer: C - 162
Each term is multiplied by 3. 54 × 3 = 162.
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Correct Answer: D - 25
Differences: -5, -10, -15, -20, -25. Next = 50 - 25 = 25.
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Correct Answer: D - 216
Pattern: 1³, 2³, 3³, 4³, 5³, 6³. Next = 216.
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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.
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Correct Answer: B - 37
Differences: 3, 5, 7, 9, 11. Next = 26 + 11 = 37.
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Correct Answer: C - 112
Each term is doubled. 56 × 2 = 112.
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Correct Answer: C - 3125
Pattern: 11, 22, 33, 44, 55. Next = 3125.
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Correct Answer: D - 95
Pattern: ×2+1. 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.
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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.
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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.
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Correct Answer: C - 28
Triangular numbers: differences are 2,3,4,5,6,7. Next = 21+7 = 28.
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Correct Answer: A - 17
Prime number series. Next prime after 13 is 17.
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Correct Answer: C - 720
Factorial series: 1!, 2!, 3!, 4!, 5!, 6!. 6! = 720.
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Correct Answer: D - 169
Squares of primes: 2², 3², 5², 7², 11², 13². Next = 169.
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Correct Answer: A - 65
Powers of 2: 1,2,4,8,16,32,64. 65 should be 64.
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Correct Answer: D - 162
Each number is multiplied by 3. 54 × 3 = 162.
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Correct Answer: D - 95
Each number is doubled and then 1 is added. 47 × 2 + 1 = 95.
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Correct Answer: D - 243
Each term is multiplied by 3. 81 × 3 = 243.
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Correct Answer: D - 36
These are perfect squares: 1², 2², 3², 4², 5², 6² = 36.
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Correct Answer: B - 17
These are consecutive prime numbers. The next prime after 13 is 17.
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Correct Answer: A - 13
This is the Fibonacci series where each number is the sum of the two preceding numbers. 5 + 8 = 13.
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Correct Answer: C - 112
Each number is doubled. 56 × 2 = 112.
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Correct Answer: A - 25
Differences: -5, -10, -15, -20, -25. So 50 - 25 = 25.
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Correct Answer: B - 64
Each number doubles. 32 × 2 = 64.
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Correct Answer: C - 63
Pattern: each term = previous × 2 + 1. 31 × 2 + 1 = 63. Also: 2ⁿ - 1 series (1,3,7,15,31,63).
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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.
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Correct Answer: A - O
Gaps between letters: +2, +3, +4, +5. J + 5 = O.
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Correct Answer: B - R
Each letter goes back by 2 positions. T - 2 = R.
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Correct Answer: C - P
Gaps: +2, +3, +4, +5. K(11) + 5 = P(16).
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Correct Answer: C - EV
First letter increases A→B→C→D→E, second letter decreases Z→Y→X→W→V. Next: EV.
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Correct Answer: A - 192
Each term doubles. 96 × 2 = 192.
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Correct Answer: B - 125
These are cubes: 1³, 2³, 3³, 4³, 5³ = 125.
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Correct Answer: C - 38
Differences: 3, 5, 7, 9. Next difference is 11. 27 + 11 = 38.
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Correct Answer: B - 169
Squares of primes: 2²=4, 3²=9, 5²=25, 7²=49, 11²=121, 13²=169.
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Correct Answer: A - 21
Fibonacci sequence. 8 + 13 = 21.
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Correct Answer: B - 160
Each number doubles. 80 × 2 = 160.
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Correct Answer: A - 720
Factorials: 1!, 2!, 3!, 4!, 5!, 6! = 720.
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Correct Answer: D - 80
Differences: 5, 10, 15, 20. Next difference is 25. 55 + 25 = 80.
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Correct Answer: A - A
The gaps are +2, +3, and +4. The next gap is +5, so V + 5 wraps around to A.
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Correct Answer: A - 31
These are consecutive prime numbers. The next prime after 29 is 31.
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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.
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Correct Answer: B - 49
Perfect squares in descending order: 12², 11², 10², 9², 8², 7² = 49.
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Correct Answer: A - 3125
Pattern: nⁿ. 1¹=1, 2²=4, 3³=27, 4⁴=256, 5⁵=3125.
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Correct Answer: D - 33
Differences: 2, 4, 6, 8. Next difference is 10. 23 + 10 = 33.
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Correct Answer: A - 28
Triangular numbers: differences increase by 1 each time (2,3,4,5,6,7). 21 + 7 = 28.
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Correct Answer: B - 42
Terms are n(n+1): 1x2, 2x3, 3x4, 4x5, 5x6, next 6x7=42.
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Correct Answer: C - 127
Each term is previous x2 +1. 63x2+1=127.
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Correct Answer: B - 47
Pattern x2+1: 5->11->23->47->95->191.
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Correct Answer: B - 36
These are perfect squares: 12, 22, ..., next 62=36.
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Correct Answer: C - 34
Fibonacci-style series: each term is sum of previous two. 13+21=34.
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Correct Answer: A - 25
Descending squares: 92, 82, 72, 62, next 52=25.
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Correct Answer: A - 79
Pattern x2+1: 4->9->19->39->79->159.
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Correct Answer: C - U
Position gaps are +2,+3,+4,+5, so next gap +6 gives U.
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Correct Answer: C - 100
Differences are 3,6,12,24, so next difference 48 gives 100.
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Correct Answer: C - 29
The series lists consecutive prime numbers after 10. Next is 29.