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Instructions

In each of these question, you are given two statements. To answer these questions, you can use oneor both the statements. Give your answer as

Question 40

N is an integer between 1 and 93. What is the value of N?
A. N is both the square and the cube of an integer.
B. The square root of N is divisible by 8.

Solution

(A) : Perfect squares between 1 and 93 = 1,4,9,16,25,36,49,64,81

Perfect cubes between 1 and 93 = 1,8,27,64

=> Possible values of N = 1, 64

Thus, first statement alone is not sufficient.

(B) : Number of square roots between 1 and 93 = 1,2,3,4,5,6,7,8

Now, since it is divisible by 8, only one possible value of N exist, => $$N=64$$

$$\therefore$$ Statement B alone is sufficient.

=> Ans - (B)

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