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