Question Details

Select the number from among the given options that can replace the question mark (?) in the following series.

176,167,156,147,136, ?

Options

A

126

B

119

C

127

D

124

Show Answer

Correct Answer :

Option C

127

127

Solution :

The correct option is 127.

Let's analyze the pattern of the given series step-by-step:
The series is: 176, 167, 156, 147, 136, ?

Let's calculate the difference between consecutive terms:

First term to second term:
167-176=-9

Second term to third term:
156-167=-11

Third term to fourth term:
147-156=-9

Fourth term to fifth term:
136-147=-9 (Wait, let's re-verify the pattern of alternating differences or simple subtraction: -9, -11, -9, -11, -9...)
Let's calculate carefully:
176 - 9 = 167
167 - 11 = 156
156 - 9 = 147
147 - 11 = 136
Indeed, 147-11=136.

Following this alternating subtraction pattern of -9 and -11:
The differences are:
-9, -11, -9, -11, ...
Thus, the next subtraction should be -9.

Let's find the missing term:
136-9=127

Therefore, the number that replaces the question mark (?) is 127.

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