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IBPS Clerk Prelims Model Paper 3

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Question : 3 of 100

Marks: +1, -0

\sqrt{\frac{?}{196}}

\frac{72}{56}

18
14
324
212
None of these

Solution:

Concept:

Square both sides of the radical equation to find the unknown value.

Explanation:

Let the unknown be

x

.

Given:

\sqrt{\frac{x}{196}}=\frac{72}{56}

.

Simplify the fraction:

\frac{72}{56}=\frac{9}{7}

.

So,

\sqrt{\frac{x}{196}}=\frac{9}{7}

.

Square both sides:

\frac{x}{196}=\left(\frac{9}{7}\right)^2=\frac{81}{49}

.

Then,

x=\frac{81}{49}\times196

.

Since

196=49\times4

,

x=81\times4=324

.

Answer:

The required number is

324

, which is option C.

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