Question Details

What should come in place of the question mark (?) in the given series?
991 989 985 979 971 ?

Options

A

967

B

963

C

961

D

969

Show Answer

Correct Answer :

Option C

961

Solution :

The correct answer is 961.

Let us analyze the given number series to find the logic/pattern governing the terms:

991 , 989 , 985 , 979 , 971 , ?

Let us calculate the difference between consecutive terms:

991 - 989 = 2

989 - 985 = 4

985 - 979 = 6

979 - 971 = 8

We can observe that the differences subtracted from each term are consecutive even numbers: 2, 4, 6, 8, ...

Following this pattern, the next difference to subtract from 971 should be 10.

? = 971 - 10 = 961

Thus, the number that replaces the question mark (?) is 961.

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