Question Details

What should come in place of the question mark (?) in the given series?
779 780 784 793 809 ?

Options

A

831

B

837

C

834

D

841

Show Answer

Correct Answer :

Option C

834

Solution :

The correct answer is 834.

To find the missing number in the given series, let us observe the pattern of differences between consecutive terms:

780-779=1

784-780=4

793-784=9

809-793=16

We can see that the differences between consecutive terms are consecutive perfect squares:
1 = 12
4 = 22
9 = 32
16 = 42

Following this pattern, the next difference must be 52 = 25.

To find the value of the question mark (?), add 25 to the last term of the series (809):

?=809+25=834

Thus, the number that comes in place of the question mark is 834.

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