# Moderate Number System Solved QuestionAptitude Discussion

 Q. Which one of the following is the minimum value of the sum of two integers whose product is 36?
 ✖ A. 37 ✖ B. 20 ✖ C. 15 ✔ D. 12

Solution:
Option(D) is correct

List all possible factors $x$ and $y$ whose product is 36, and calculate the corresponding sum $x + y$:

 $x$ $y$ $x \times y$ $x+y$ 1 36 36 37 2 18 36 20 3 12 36 15 4 9 36 13 5 6 36 12

From the table, the minimum sum is 12

## (3) Comment(s)

Mrigendra Pratap Singh
()

last row, 6 x 6=36.

Arghya Chakraborty
()

You should say "positive" integers.

Else :

(-6)*(-6)=36

But -6-6=-12<12

Apoorv
()

use AM $\geq$GM formula.

let two numbers be x and y.

product $=xy=36$ (given)

sum $= x+y$

AM $\geq$ GM

$\dfrac{x+y}{2}$\geq$square root of xy$\dfrac{x+y}{2} \geq \sqrt{36} x+y \geq 6 \times 2x+y \geq 12\$