Question Details

What will come in the place of question (?) mark in the following number series.

?, 161, 228, 299, 372, 451

Options

A

100

B

110

C

90

D

120

E

80

Show Answer

Correct Answer :

Option A

100

Solution :

The correct option is 100.


Let's analyze the given number series to find the pattern:

?, 161, 228, 299, 372, 451


First, let's find the difference between consecutive terms in the series starting from the known values:

228 - 161 = 67


299 - 228 = 71


372 - 299 = 73


451 - 372 = 79


Observe the sequence of differences obtained: 67, 71, 73, 79.

These are consecutive prime numbers.


The prime number preceding 67 is 61.

Therefore, the difference between 161 and the unknown term (?) must be 61.


Let's calculate the missing value:

? = 161 - 61


? = 100


Thus, the number that will come in place of the question mark is 100.

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