Question Details

What should come in place of ‘?’ in the given series?
115, 119, 127, 139, 155, ?

Options

A

171

B

173

C

177

D

175

Show Answer

Correct Answer :

Option D

175

Solution :

The correct option is 175.

To find the missing term in the given number series, let us analyze the pattern by calculating the differences between consecutive terms:

119-115=4

127-119=8

139-127=12

155-139=16

The differences between consecutive terms are 4, 8, 12, and 16. These values are consecutive multiples of 4:

4×1=4

4×2=8

4×3=12

4×4=16

Following this pattern, the next difference in the series must be the fifth multiple of 4:

4×5=20

To determine the missing term (?), we add this difference of 20 to the fifth term (155):

155+20=175

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