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Q.

Among the following numbers, a perfect square is

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a

122

b

124

c

141

d

196

answer is B.

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Detailed Solution

A perfect square number is always expressible as the product of pairs of equal factors.

Option ( A ) : 141=3×47 .

141  can’t be expressed as the product of pairs of equal factors. So it is not a perfect square number.

Option  ( B ) : 196=2×7×2×7 .

196 can  be expressed as the product of pairs of equal factors. Therefore196  is a perfect square number.

Option  ( C ): 124=2×2×31 .

124  can’t be expressed as the product of pairs of equal factors. So it is not a perfect square number.

Option ( D ) : 122=2×61 .

122  can’t be expressed as the product of pairs of equal factors. So it is not a perfect square number.

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