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RRB Non Technical Model Papers 6 with solutions

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Question : 7 of 100

Marks: +1, -0

The value of

\sqrt{10^{-6} \times 0.25}

is

0.0025
0.0005
0.25
0.50

Solution:

Concept:

Break the expression into perfect squares and simplify powers of

10

.

Explanation:

Write

0.25

as

\frac{25}{100}

.

So,

10^{-6} \times 0.25 = 10^{-6} \times \frac{25}{100}

.

This becomes

25 \times 10^{-8}

.

Now take the square root:

\sqrt{25 \times 10^{-8}}

.

This equals

\sqrt{25} \times \sqrt{10^{-8}}

.

So, it becomes

5 \times 10^{-4}

.

Thus, the value is

0.0005

.

Answer:

Option B:

0.0005

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