Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
11.
3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?
A. 42 B. 43
C. 51 D. 52
Answer & Explanation
Answer: Option B
Explanation:
The given sequence is a combination of two series :
I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34
The pattern in I is + 4, + 6, + 8, + 10,…..
The pattern in II is + 3, + 6, + 9, + 12,…..
So, missing term = 31 + 12 = 43.
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12.
198, 194, 185, 169, ?
A. 92 B. 112
C. 136 D. 144
Answer & Explanation
Answer: Option D
Explanation:
The pattern is – 4, – 9, – 16,…..i.e. – 22, – 32, – 42,…..
So, missing pattern = 169 – 52 = 169 – 25 = 144.
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13.
2, 3, 5,7,11,?, 17
A. 12 B. 13
C. 14 D. 15
Answer & Explanation
Answer: Option B
Explanation:
Clearly, the given series consists of prime numbers starting from 2. So, the missing
term is the prime number after 11, which is 13.
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14.
6, 12, 21, ?, 48
A. 33 B. 38
C. 40 D. 45
Answer & Explanation
Answer: Option A
Explanation:
The pattern is + 6, + 9, + 12, + 15, …..
So, missing term = 21 + 12 = 33.
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15.
Which term of the series 5, 10, 20, 40, ….. is 1280?
A. 10th
B. 9th
C. 8th
D. None of these
Answer & Explanation
Answer: Option B
Explanation:
Clearly, 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40,…..
So, the series is a G.P. in which a = 5 and r = 2.
Let 1280 be the rath term of the series.
Then, 5x2n-1 = 1280 2n-1 = 256 = 28 n – 1 = 8 n = 9.