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If neither x nor y is equal to 0, is 3x − 2y = 0?
(1) 27x3 − 8y3 = 0
(2) 9x2 − 4y2 = 0
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'A'. Can you explain this answer?

Answers

We have to find out whether 3x − 2y = 0.
Alternatively, we can write 3x − 2y = 0 as x = 2 / 3y.
Thus, we have to determine whether x = 2 / 3y.
Statement 1:
We are given that 27x3 − 8y3 = 0.
⇒ 27x3 = 8y3
⇒ x3 = 8 / 27y3
⇒ x = 2 / 3y; taking the cube root of both the sides. (Remember that the real number x3 has only one real cube root.)
The answer is Yes. - Sufficient!
Statement 2:
We are given that 9x2 − 4y2 = 0
⇒ 9x2 = 4y2
⇒ x2 = 4 / 9y2
⇒ x = ±2 / 3y; taking the square root of both the sides. (Remember that the positive number x2 has two square roots, one positive and the other negative.)
If x = 2 / 3y, the answer is Yes; however, if x = −2 / 3y, the answer is No.
No unique value of x. - Insufficient!

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Question Description
If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? for GMAT 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer?.
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Here you can find the meaning of If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If neither x nor y is equal to 0, is 3x − 2y = 0?(1) 27x3 − 8y3 = 0(2) 9x2 − 4y2 = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
We have to find out whether 3x − 2y = 0.Alternatively, we can write 3x − 2y = 0 as x = 2 / 3y.Thus, we have to determine whether x = 2 / 3y.Statement 1:We are given that 27x3 − 8y3 = 0.⇒ 27x3 = 8y3⇒ x3 = 8 / 27y3⇒ x = 2 / 3y; taking the cube root of both the sides. (Remember that the real number x3 has only one real cube root.)The answer is Yes. - Sufficient!Statement 2:We are given that 9x2 − 4y2 = 0⇒ 9x2 = 4y2⇒ x2 = 4 / 9y2⇒ x = ±2 / 3y; taking the square root of both the sides. (Remember that the positive number x2 has two square roots, one positive and the other negative.)If x = 2 / 3y, the answer is Yes; however, if x = −2 / 3y, the answer is No.No unique value of x. - Insufficient!