Question

The total number of non square natural numbers lying between ${12}^2$ and ${13}^2$ = $x\times y=z$. Identify the values of x, y and z respectively.

• A. 2, 12, 24
• B. 24, 13, 2
• C. 2, 12, 25
• D. 12, 13, 25

Answer 1

The correct option is A 2, 12, 24

Non-square natural numbers between $n^2$ and $(n+1{)}^2$ = $2n$
12 and 13 represent the consecutive natural numbers, n and (n+1)

∴ Between ${12}^2$ and ${13}^2$ $=2\times 12=24$
$\therefore$ in $x\times y=z$
x = 2, y = 12 and z = 24 respectively.