Question

In this question, you are given two statements. To answer this question, you can use one or both the statements.
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.

• A. If statement A ALONE is sufficient to answer the given question, but statement B alone is not.
• B. If statement B ALONE is sufficient to answer the given question, but statement A alone is not.
• C. If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.
• D. If both the statements are INDEPENDENTLY sufficient to answer the given question.

Answer 1

Answer: (D)

If both the statements are INDEPENDENTLY sufficient to answer the given question.

Answer 2

(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 exists,
∴ Statement B alone is sufficient.
The correct answer is (D) : If both the statements are INDEPENDENTLY sufficient to answer the given question.