Question Details

Find out the wrong number.
201, 218, 237, 260, 289, 320, 360

Options

A

201

B

360

C

218

D

237

E

289

Show Answer

Correct Answer :

Option B

360

Solution :

To find the wrong number in the given sequence, let us analyze the differences between consecutive terms.
The given sequence is:
201, 218, 237, 260, 289, 320, 360

Let us calculate the difference between each term and the preceding term:

218-201=17

237-218=19

260-237=23

289-260=29

320-289=31

360-320=40

Now, let us examine the sequence of differences:
17, 19, 23, 29, 31, 40

Notice that 17, 19, 23, 29, and 31 are consecutive prime numbers.
Following this pattern, the next difference in the sequence should be the next prime number after 31, which is 37.

Therefore, the last term in the sequence should be:
320+37=357

Since the given term is 360 instead of 357, the number 360 is the wrong number in the sequence.

The correct option is 360.

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