Question

What is the missing number in the given magic square?

$\begin{array}{ccc}10& 3& 8\\ 5& 7& 9\\ 6& ?& 4\end{array}$

• A. 11
• B. 10
• C. 7
• D. 3

Answer 1

The correct option is A 11

In a magic square, the sum of the numbers in each row, column and diagonal of the square is the same.

Consider, the first row, here the sum of the numbers is 21, in second row it is also 21, in columns also the sum of the numbers in first and third is 21. In both the diagonal also the sum of the numbers is 21.

$\therefore$ the sum of all the numbers present in the third row must also be twenty one. Let's assume the unknown value as $x$.

$\Rightarrow 6+x+4=21$
$\Rightarrow x=21-6-4$
$\Rightarrow x=21-10$
$\Rightarrow x=11$