Question

N is an integer between 1 and 93. What is the value of N?
(I) N is both the square of an integer and the cube of an integer.
(II) The square root of N is divisible by 8

• A. Statement (I) ALONE is sufficient, but statement (II) B alone is not sufficient
• B. Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
• D. EACH statement ALONE is sufficient

Answer 1

The correct option is A Statement (I) ALONE is sufficient, but statement (II) B alone is not sufficient

(I) ⇒N=64⇒N=64 ( ∵∵ only 64 is both the square of an integer and the cube of an integer)
∴∴ Statement (I) alone is sufficient to answer the question.
(II) ⇒N=64⇒N=64
∴∴ Statement (II) alone is sufficient to answer the question.