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

Options

A. 9
B. 2
C. 8
D. 7

Answer

D

Explanation

The pattern is as follows
The sum of the numbers in the columns form the series 4, 9, 16, 25, 36, 49, i.e` 262, 3^2, 4^2, 5^2, 6^2, 7^2`
In the first column,` 0+3+1=4=2^2` ,
In the second column, `2+4 + 3 = 9=3^2` ,
In the third column,` 9+2 +5 = 16 = 4^2,`
In the fourth column, `12 + 4 + 9=25=5^2`
In the sixth column,` 18 + 14 + 17 = 49=7^2`
Let the missing number be x.
then in the fifth column, `16+ x + 13= 6^2 = 36 or, x=7`
Therefore, Missing number = 7