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What should come in place of ‘?’ in the given series? 18, 39, 67, 102, 144, ?
Question

What should come in place of ‘?’ in the given series?
18, 39, 67, 102, 144, ?

A.

181

B.

185

C.

189

D.

193

Correct option is D

Let’s look at the difference between consecutive terms: 39 − 18 = 21 67 − 39 = 28 102 − 67 = 35 144 − 102 = 42 Here, the differences are increasing by 7. So the next difference will be 49. 144 + 49 = 193
Explanation of options: (a) ✘ 181 is based on a smaller difference (+37), which breaks the pattern of increasing by 7. (b) ✘ 185 follows a gap of +41, which is inconsistent with the +49 logic. (c) ✘ 189 adds only +45, which again doesn’t fit the established difference pattern. (d) ✔ 193 is the correct answer because the differences increase by 7 each time (21, 28, 35, 42, 49).

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