Question

In a colony, the number of rooms in an apartment is equal to the number of apartments. If the total number of rooms in the colony is 2401, what is the number of apartments?

• A. 47
• B. 48
• C. 49
• D. 51

Answer 1

The correct option is C

49

Let the no. of rooms be a

$\therefore$ No. of apartments = a

Each apartment has 'a' number of rooms. So, total no. of rooms $=a\times a=a^2$

$\begin{array}{cc}& 49\\ 4& 2401\\ 4& 16\\ 89& 801\\ 9& 801\\ 98& 0\end{array}$

$\therefore a^2=2401$

$a=\sqrt{2401}$

$=49$.

$\therefore$ Colony has 49 apartments.