NIELIT 2022 Feb Scientist C - Section D: 13

Question

A number is greater than the square of $44$ but smaller than the square of $45.$ If one factor of the number is the square of $6$ and the number is multiple of $5,$ the number is :

• A. $1960$
• B. $1980$
• C. $2025$
• D. Cannot be determined

Answer 1

Let’s assume that number is $x$

it is given that $x>44^2=1936$ and $x<45^2=2025$

it is also given that the factor is $6^2=36$ and the number is multiple of 5.

we can find $LCM(36,5)=180$

therefore our number should be multiple of $180$

Only option $(B)$ satisfied the condition.

Option $(B)$ is correct.