Each of the following questions has a Magical circle with question mark/s. Replace the question mark/s by choosing the correct response from amongst the alternatives given.

Options

A. 391
B. 289
C. 279
D. 291

Answer

D

Explanation

The pattern is as follows: Moving clockwise we get, In the first figure, `3^2, 4^2, 5^2, 6^2 and (7^2+2)` i.e. 9, 16, 25, 36 and 51, In the second figure, `8^2, 9^2, 10^2, 11^2 and (12^2+2) ` i.e. 64, 81, 100, 121 and 146,
In the third figure, `13^2, 14^2, 15^2, 16^2 and (17^2 + 2)` i.e., 169, 196, 225, 256 and 291 Therefore, missing number in the third fig. = 291