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Arithmetic Mean

In each quest...

Question

In each question there is some relation between the first two terms. Same relationship exists in the next two terms. The missing tern(?) is out of the options given below. Find the correct option.
11 : 30 :: ? : 128

A

65

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B

66

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C

67

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D

68

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Solution

The correct option is C 67
$2^{3} + 3 : 3^{3} + 3 :: 4^{3} + 3 : 5^{3} + 3$

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