Question Details

There is one term is wrong in each  series given below. Find out the wrong term of each series.


19, 23, 32, 48, 73, 109, 154

Options

A

19

B

32

C

154

D

109

Show Answer

Correct Answer :

Option C

154

154

Solution :

To find the wrong term in the given series, let us first analyze the differences between consecutive terms:


23-19=4 (which is 22)
32-23=9 (which is 32)
48-32=16 (which is 42)
73-48=25 (which is 52)
109-73=36 (which is 62)

We can observe that the differences between consecutive terms are consecutive perfect squares starting from 22.

Following this pattern, the next difference must be:
72=49

Therefore, the term following 109 should be:
109+49=158

However, the given term in the series is 154. Thus, 154 is the wrong term, and it should be replaced by 158.

The correct answer is 154.

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