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What should come in place of the question mark (?) in the given series?16, 27, 49, 82, ?, 181
Question

What should come in place of the question mark (?) in the given series?
16, 27, 49, 82, ?, 181

A.

127

B.

124

C.

125

D.

126

Correct option is D

We are given the number series:
16, 27, 49, 82, ?, 181
Let’s find the difference between consecutive terms:
27−16=11
49−27=22
82−49=33
?−82=x
181−?=y
Now, observe the pattern in differences:
11, 22, 33 → clearly increasing by 11
So, next difference should be:
33+11=44
Therefore,
?=82+44=126
Now check the next difference:
181−126=55 
This follows the pattern: 11, 22, 33, 44, 55
So, the missing number is:
Answer: (D) 126

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