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Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is rel
Question

Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is related to the sixth number.
216 : 344 :: ? : 126 :: 27 : 65

A.

68

B.

66

C.

70

D.

64

Correct option is D

Given: 216 : 344 :: ? : 126 :: 27 : 65
Logic: [{cube root of (second number-1)} – 1]3= first number
As,
216 : 344
[{cube root of (344-1)} – 1]3
=[{cube root of 343 – 1]3
=[7 – 1]3
=63
=216
And
27 : 65
[{cube root of (65-1)} – 1]3
=[{cube root of 64 – 1]3
=[4 – 1]3
=33
=27
Similarly,
? : 126
[{cube root of (126-1)} – 1]3
=[{cube root of 125 – 1]3
=[5 – 1]3
=43
=64
Thus, correct option is (d).

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