Question 52

What least fraction must be subtracted from the square root of $$105\frac{1}{16}$$ so that the result is a whole number?

Solution

Square root of : $$\sqrt{105\frac{1}{16}}$$

= $$\sqrt{\frac{1681}{16}}=\frac{41}{4}=10\frac{1}{4}$$

Now, the least number to be divided to make it a whole number is clearly $$\frac{1}{4}$$

= $$10+\frac{1}{4}-\frac{1}{4}=10$$

=> Ans - (A)

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