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Three of the following four pair of numbers are alike in a certain way and so they form a group. Which is the one that does not belong to the group?

A2.10

B3, 26

C5,124

D4,63

Answer:

A. 2.10

Read Explanation:

The number pair that does not belong to the group is 2, 10.

## The Logic:

In the other three pairs, the relationship follows the formula: (n31)(n^3 - 1) (The second number is the cube of the first number minus 1).

* 3, 26     331=271=26\implies 3^3 - 1 = 27 - 1 = \mathbf{26} (Matches)

* 5, 124     531=1251=124\implies 5^3 - 1 = 125 - 1 = \mathbf{124} (Matches)

* 4, 63     431=641=63\implies 4^3 - 1 = 64 - 1 = \mathbf{63} (Matches)

The Odd One Out:

* 2, 10     231=81=7\implies 2^3 - 1 = 8 - 1 = \mathbf{7} (Does not match, as the given number is 10).


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