Reasoning

Number Series — Practice MCQs for CCAT

20 Questions Section A: Fundamentals Reasoning

Practice 20 Number Series multiple-choice questions designed for CDAC CCAT exam preparation. Click "Show Answer" to reveal the correct option with detailed explanation.

Q1.
Complete the series: 2, 6, 12, 20, 30, ?
A40
B42
C44
D46
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Correct Answer: B — 42

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

Q2.
Find the next number: 1, 4, 9, 16, 25, ?
A30
B35
C36
D49
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Correct Answer: C — 36

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

Q3.
Complete: 3, 6, 11, 18, 27, ?
A36
B38
C40
D42
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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
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Correct Answer: B — 17

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

Q5.
Complete: 1, 1, 2, 3, 5, 8, ?
A11
B12
C13
D15
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Correct Answer: C — 13

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

Q6.
Find the next: 2, 6, 18, 54, ?
A108
B162
C216
D180
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Correct Answer: B — 162

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

Q7.
Complete: 100, 95, 85, 70, 50, ?
A20
B25
C30
D35
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Correct Answer: B — 25

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

Q8.
Find the next: 1, 8, 27, 64, 125, ?
A196
B216
C256
D343
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Correct Answer: B — 216

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

Q9.
Complete: 4, 6, 9, 13.5, ?
A18
B19.25
C20.25
D21
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Correct Answer: C — 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
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Correct Answer: B — 37

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

Q11.
Complete the series: 7, 14, 28, 56, ?
A98
B112
C128
D140
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Correct Answer: B — 112

Each term is doubled. 56 × 2 = 112.

Q12.
Find the missing: 1, 4, 27, 256, ?
A625
B1024
C3125
D4096
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Correct Answer: C — 3125

Pattern: 1^1, 2^2, 3^3, 4^4, 5^5. Next = 3125.

Q13.
Complete: 5, 11, 23, 47, ?
A93
B95
C97
D99
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Correct Answer: B — 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
A26
B37
C50
D64
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Correct Answer: D — 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
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Correct Answer: B — 127

Pattern: 2^n - 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
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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, ?
A15
B17
C19
D21
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Correct Answer: B — 17

Prime number series. Next prime after 13 is 17.

Q18.
Find: 1, 2, 6, 24, 120, ?
A480
B600
C720
D840
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Correct Answer: C — 720

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

Q19.
Complete: 4, 9, 25, 49, 121, ?
A144
B169
C196
D225
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Correct Answer: B — 169

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

Q20.
Find the wrong number: 1, 2, 4, 8, 16, 32, 65
A2
B16
C32
D65
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Correct Answer: D — 65

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