Question 76

By which least number should 5000 be divided so that it becomes a perfect square?

Solution

Prime factorization of 5000 = $$2^3\times5^4$$

Now, to make it a perfect square, all the powers should be even, but clearly power of 2 is 3, which is odd.

Thus, least number that should be divided by 5000 so that it becomes a perfect square = 2

=> $$\frac{5000}{2}=2500=(50)^2$$

=> Ans - (A)

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