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In the sequence 20, 10, 10, 15, 30, 75, X, find the value of X.
Question

In the sequence 20, 10, 10, 15, 30, 75, X, find the value of X.

A.

105

B.

150

C.

120

D.

225

Correct option is D

Information Given:
Series: 20, 10, 10, 15, 30, 75, X

Logic:
Pattern: ×(1/2), ×1, ×(3/2), ×2, ×(5/2), ×3

Step-by-step:
20 × 1/2 = 10
10 × 1 = 10
10 × 3/2 = 15
15 × 2 = 30
30 × 5/2 = 75
75 × 3 = 225

Short Trick:
Multiply by pattern: 1/2, 1, 3/2, 2, 5/2, 3

Final Answer:
225

Final Correct Option:
D

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