Select the option that is related to the third term in the same w

Select the option that is related to the third term in the same w
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Select the option that is related to the third term in the same way as the second term is related to the first term.

3 / 26 : 4 / 63 : : 11 / 1330 : ? 

A. 9 / 730

B. 9 / 729

C. 8 / 511

D. 8 / 512

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

The pattern followed is,

3 / 26 → 3 / (33 – 1); 33 = 27, 27 – 1 = 26;

And,

4 / 65 → 4 / (43 – 1); 43 = 64, 64 – 1 = 63;

Similarly,

11 / 1332 : → 11 / (113 – 1); 113 = 1331, 1331 – 1 = 1330;

And,

9 / ? → 9 / (93 – 1); 93 = 729, 729 – 1 = 728 ≠ 730 or 729.

Therefore, 9 / 730 or 9 / 729 are not correct alternatives.

8 / ? → 8 / (83 – 1); 83 = 512, 512 – 1 = 511 ≠ 512

Therefore, 8 / 512 is not correct alternative.

Hence, “8 / 511” is the correct answer.