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Madhya Pradesh Police Exam Model Paper 6

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Question : 55 of 101

Marks: +1, -0

(101 \times 72)^2 = ?

52881984
59924888
58824999
59291896

Solution:

Given:

(101 \times 72)^2

Concept:

If

(101 \times a)

, then

\Rightarrow [(100 + 1) \times a]

\Rightarrow (100a + a)

Calculation:

(101 \times 72)^2

\Rightarrow [(100 + 1) \times 72)^2

\Rightarrow (7200 + 72)^2

\Rightarrow (7272)^2

⇒ 52881984

\therefore (101 \times 72)^2 = 52881984

.

Smart Method:

(101 \times 72)^2

Taking unit digits

(1 \times 2)^2

\Rightarrow 2^2

⇒ 4

Hence, answer must have 4 at its unit digit.

∴ 52881984 is the correct option.

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