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

Options

A. 3
B. 6
C. 12
D. 9

Answer

D

Explanation

The pattern is as follows:
`{(2)^2 + (5)^2} - {(3)^2 + (1)^2} = 19, {(7)^2 + (4)^2} - {(4)^2 + (6)^2} = 13`
Let the missing number be x. Then, `{(10)^2 + (5)^2 } - {(2)^2 + (x ^2)} = 40` or, x=9
Therefore, Missing Number = 9