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RRB Group D 27 Nov 2025 Shift 2 Solved Paper

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Question : 45 of 100

Marks: +1, -0

Simplify:\frac{32672\times 32672-21864\times 21864}{10808}

54636
54436
54836
54536

Solution:

Concept:

Use the algebraic identity

a^2 - b^2 = (a - b)(a + b)

to simplify the expression.

Explanation:

Let

a = 32672

and

b = 21864

.

Then the numerator is

32672^2 - 21864^2 = (32672 - 21864) \times (32672 + 21864)

.

Compute

32672 - 21864 = 10808

.

Compute

32672 + 21864 = 54536

.

Now the expression becomes

\frac{10808 \times 54536}{10808}

.

Cancel the common factor

10808

from numerator and denominator.

The result is

54536

.

Answer:

54536

(Option D).

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