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Which of the following numbers will replace the question mark (?) in the given series? 33, 34, 38, 47, 63, ?
Question

Which of the following numbers will replace the question mark (?) in the given series?
33, 34, 38, 47, 63, ?

A.

79

B.

72

C.

96

D.

88

Correct option is D

Given Series:
33, 34, 38, 47, 63, ?
Logic: The differences between the consecutive numbers are the squares of consecutive integers.
The difference between 33 and 34 is (12 = 1)
The difference between 34 and 38 is (22= 4)
The difference between 38 and 47 is (32 = 9)
The difference between 47 and 63 is (42 = 16)
Following this pattern, the next difference should be (52)
Calculation of the Missing Number:
To find the missing number, we add the next difference to the last number in the series:
63+25=88
The number that replaces the question mark is 88.

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