Question Details

12 , 14 , 31, 96, 393, 1971, 11833
Find the wrong number in the following number series.

Options

A

393

B

31

C

96

D

1971

Show Answer

Correct Answer :

Option C

96

Solution :

The correct option is 96.

Let us analyze the given pattern in the number series: 12, 14, 31, 96, 393, 1971, 11833.

We check the step-by-step logic relating consecutive terms:

12×1+2=14

14×2+3=31

Following this pattern, each term is multiplied by an increasing integer starting from 1, and then an increasing integer starting from 2 is added.

So, the next term should be:

31×3+4=93+4=97

However, the given series has 96 instead of 97.

Let us verify the remaining terms using 97:

97×4+5=388+5=393

393×5+6=1965+6=1971

1971×6+7=11826+7=11833

All subsequent terms match the given series when 96 is replaced by 97. Therefore, 96 is the wrong number in the series.

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