Question Details

210, 228, 250, 274, 302, 332, 365

Options

A

302

B

332

C

210

D

250

E

365

Show Answer

Correct Answer :

Option E

365

Solution :

The correct option is 365.


To identify the wrong number in the given series, let us analyze the differences between consecutive terms.


Given series: 210, 228, 250, 274, 302, 332, 365


Let us find the difference between consecutive numbers:

228-210=18

250-228=22

274-250=24

302-274=28

332-302=30

365-332=33


Now, let us examine the pattern of differences:

The difference increases alternatingly or follows a prime/even pattern based on adding numbers or consecutive even additions. Specifically, looking at the logic of adding prime numbers or consecutive even numbers after specific pattern increments:

Notice the differences: 18, 22, 24, 28, 30...

The sequence of differences increases by +4, +2, +4, +2...


Checking the pattern of differences:

18 + 4 = 22

22 + 2 = 24

24 + 4 = 28

28 + 2 = 30

30 + 4 = 34


According to this (+4, +2, +4, +2, +4...) pattern of differences, the next difference should be 34 instead of 33.


Therefore, the expected last term is:

332+34=366


Hence, 365 is the wrong number in the given series as it should be replaced by 366.

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