Question: What is the cube root of x?

(1) The fourth root of x = 3
(2) x^2= 6561

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are not sufficient.

Correct Answer: A
Solution and Explanation:
This can be solved using only 1 approach solution.
Approach Solution 1:

(1) The fourth root of x = 3
4√x= 3...........x= 3^4= 81
So, 3√x= 3√81
Sufficient

(2) x^2= 6561= 81^2
so x= 81 or -81
In each case, the cube root will be different.
Insufficient

“What is the cube root of x? (1) The fourth root of x = 3 (2) x^2= 6561”- is a topic of the GMAT Quantitative reasoning section of GMAT. GMAT Quant section consists of a total of 31 questions.  GMAT data sufficiency questions consist of a problem statement followed by two factual statements.  GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

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