The value of {{5043} × {50}}{{32} × {1323}} is :

Correct Answer is : 20584205/8484205

Correct Answer is : 20584205/8484205

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CTET Paper II (Mathematics and Science) 8 Feb 2026 Shift 1 Solved Paper

Question : 53 of 150

Marks: +1, -0

The value of

\frac{\sqrt{5043} \times \sqrt{50}}{\sqrt{32} \times \sqrt{1323}}

is :

Solution:

Concept:

Combine the square roots into one using

\sqrt{a} \times \sqrt{b} = \sqrt{ab}

and

\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}

. Then simplify the fraction inside the square root.

Explanation:

Write the given expression as a single square root:

\sqrt{\frac{5043 \times 50}{32 \times 1323}}

Simplify inside:

\frac{5043}{1323} = \frac{1681}{441}

(divide numerator and denominator by 3). Also

\frac{50}{32} = \frac{25}{16}

So the expression becomes

\sqrt{\frac{1681}{441} \times \frac{25}{16}} = \sqrt{\frac{41^2}{21^2} \times \frac{5^2}{4^2}} = \sqrt{\left(\frac{41 \times 5}{21 \times 4}\right)^2} = \frac{41 \times 5}{21 \times 4}

Calculate:

41 \times 5 = 205

and

21 \times 4 = 84

. Hence the value is

\frac{205}{84}

Answer:

\frac{205}{84}

, which corresponds to option B.

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