CSAT 2021

Q. You are given two identical sequences in two rows:

Sequence-I: 8 4 6 15 52.5 236.5
Sequence-II: 5 A B C D E

What is the entry in the place of C for the Sequence-II?
(a) 2.5
(b) 5
(c) 9.375
(d) 32.8125
Correct Answer: (c) 9.375

Question from UPSC Prelims 2021 CSAT Paper

Explanation : 

8 4 6 15 x 236.25

Let us solve this step by step:

Sequence I:
Let us start with 8:
8 × 0.5 → 4
4 × 1.5 → 6
6 × 2.5 → 15
15 × 3.5 → 52.5
52.5 × 4.5 → 236.25

Sequence II:
Let us start with 5:
5 × 0.5 → 2.5 (A)
2.5 × 1.5 → 3.75 (B)
3.75 × 2.5 → 9.375 (C)

Let us observe the pattern:
The multipliers increase by 1 each time:
0.5, 1.5, 2.5, 3.5, 4.5

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