Question Details

Which of the following numbers will replace the question mark (?) in the given series?
192, 185, 171, ?, 122, 87

Options

A

149

B

147

C

151

D

150

Show Answer

Correct Answer :

Option D

150

Solution :

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

First term to second term:
192-185=7 (which is 7×1)

Second term to third term:
185-171=14 (which is 7×2)

Following this pattern of subtracting consecutive multiples of 7, the difference between the third and fourth term should be:
7×3=21

Applying this subtraction to the third term:
171-21=150

Let us verify the remaining terms of the series using the same pattern:

Difference between the fourth and fifth term:
150-122=28 (which is 7×4)

Difference between the fifth and sixth term:
122-87=35 (which is 7×5)

Since the pattern is consistent throughout the series, the missing number that replaces the question mark (?) is 150.

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