What will come in the place of question (?) mark in the following number series.
?, 161, 228, 299, 372, 451
Correct Answer :
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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