When 3888 is divided by the square of a number and the answer so obtained in multiplied by 21, the final answer obtained is 252. What is the number?

A 324

B 16

C 256

D 144

E None of these

Solution

Correct Answer: Option E

Let the no. be x

According to question

\(\begin{array}{l} \Rightarrow \frac{{3888}}{{{x^2}}} \times 21 = 252\\ \Rightarrow \frac{{3888}}{{252}} \times 21 = {x^2}\\ \Rightarrow \frac{{81648}}{{252}} = {x^2} \end{array}\)

= x = 324

Square rooting both sides

We get, x = 18

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