Question Details

What should come in place of the question mark (?) in the given series?
499, 498, 490, 463, 399, ?

Options

A

274

B

276

C

273

D

275

Show Answer

Correct Answer :

Option A

274

Solution :

The correct option is 274.

To find the missing number in the given series, let us analyze the difference between consecutive terms:

499-498=1

498-490=8

490-463=27

463-399=64

Observing the pattern of the differences (1, 8, 27, 64), we can see that they are cubes of consecutive natural numbers:

13=1
23=8
33=27
43=64

Following this pattern, the next difference must be the cube of 5:

53=125

Now, subtract 125 from the last term (399) to find the missing number:

399-125=274

Hence, the number that comes in place of the question mark (?) is 274.

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