Question

Observe the magic square, and find the values of $P,Q,\text{and}R$.

$4$	$9$	$P$
$Q$	$7$	$3$
$6$	$R$	$10$

• A. $P=5,Q=8,R=8$
• B. $P=8,Q=11,R=5$
• C. $P=11,Q=5,R=8$
• D. $P=11,Q=8,R=5$

Answer 1

The correct option is B $P=8,Q=11,R=5$

In the magic square,

Sum of diagonal numbers $=4+7+10=21$

Hence, the sum of each row and column must be $21$.

Sum of first row $=4+9+P=21$

$P=8$

Sum of second row $=Q+7+3=21$

$Q=11$

Sum of third row $=6+R+10=21$

$R=5$

Thus, the magic square is as follows:

$4$	$9$	$8$
$11$	$7$	$3$
$6$	$5$	$10$