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From the given alternatives, select the number which can come in place of the question mark (?) in the following series: 3, 6, 5, 10, 9, 14, ?
Question

From the given alternatives, select the number which can come in place of the question mark (?) in the following series: 3, 6, 5, 10, 9, 14, ?

A.

17

B.

18

C.

16

D.

19

Correct option is B

Ans. (b) 18
Sol. Let's analyze the given sequence: 3, 6, 5, 10, 9, 14, ?
Step 1: Identify the pattern in alternating positions
1. Odd-positioned terms: 3, 5, 9, ?
· 3 → 5 ( +2)
· 5 → 9 ( +4)
· 9 → ? ( +6)
· Expected next term: 9 + 6 = 15
2. Even-positioned terms: 6, 10, 14
· 6 → 10 ( +4)
· 10 → 14 ( +4)
· Expected next term: 14 + 4 = 18
Step 2: Identify the missing term
The missing term is in an even position, so the correct answer is 18.

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