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Which of the following numbers will replace the question mark (?) in the given series? 31, 32, 36, ?, 61, 86
Question

Which of the following numbers will replace the question mark (?) in the given series?
31, 32, 36, ?, 61, 86

A.

58

B.

39

C.

45

D.

49

Correct option is C

The given series is: 31, 32, 36, ?, 61, 86
Step-by-step analysis:
31 → 32: The difference is 1, which is 1².
32 → 36: The difference is 4, which is 2².
Following the pattern of square differences, the next difference should be 3² = 9.
36 + 9 = 45.
Next, let’s check the rest of the series:
45 → 61: The difference is 16, which is 4².
61 → 86: The difference is 25, which is 5².
This confirms the pattern is correct.
The missing number is 45.
So, the correct answer is (c) 45.

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