Question Details

Which of the numbers given below is the odd one out in the given sequence?

1, 8, 27, 64, 125, 216, 343, 512, 727, 1000

Options

A

27

B

216

C

727

D

64

Show Answer

Correct Answer :

Option C

727

Solution :

The correct option is 727.


To find the odd one out in the given sequence, let us analyze the pattern formed by each number in the series:


1, 8, 27, 64, 125, 216, 343, 512, 727, 1000


Let us express each term as a cube of consecutive natural numbers:


13=1

23=8

33=27

43=64

53=125

63=216

73=343

83=512

93=729

103=1000


As we can see, every number in the sequence except 727 is a perfect cube of a natural number. The 9th term should be 93=729 instead of 727.


Therefore, 727 is the odd one out in the sequence.

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