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Q.

How many natural numbers lie between (51)2 and (52)2?

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a

101

b

100

c

102

d

103

answer is C.

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Detailed Solution

We know that there are 2x non-perfect square numbers that lie between the squares of the consecutive numbers x and (x + 1).

Therefore, between the squares of 51 and (51 + 1), there will be (2 × 51 = 102) natural numbers.

Thus, 102 natural numbers lie between (51)2 and (52)2.

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