CAT 1997 | Question: 116

Question

$P$ and $Q$ are two integers such that $P \times Q = 64$. Which of the following cannot be the value of $P+Q$?

• A. $20$
• B. $65$
• C. $16$
• D. $35$

Answer 1

Possible values of P,Q are (1,64), (2,32), (4,16), (8,8)

Possible values of P+Q are 65, 34, 20, 16

35 is not possible. Hence, option D would be the answer

Answer 2

Factor of $64$ are: $1,2,4,8,16,32,64$.

It is given that $P\times Q=64$. The number of pairs of $(P\times Q)=64$ are:

Options	$(P\times Q)=64$	$P+Q$
A	$16\times 4=64$	$20$
B	$64\times 1=64$	$65$
C	$8\times 8=64$	$16$
D	$32\times 2=64$	$34$

So from above Option (D) is not possible.