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If x, y, z are positive integers, is xyz divisible by 6?
(1) x, y, z are consecutive.
(2) x + y + z is a multiple of 3.
  • 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?
Most Upvoted Answer
If x, y, z are positive integers, is xyz divisible by 6?(1) x, y, z ar...
(1) x, y, z are consecutive.
If x, y, and z are consecutive, it means they are consecutive positive integers. In this case, we have two possible scenarios:
  • If one of x, y, or z is divisible by 2 and another one is divisible by 3, then xyz will be divisible by 6 because it will have both prime factors 2 and 3.
  • If none of x, y, or z is divisible by 2 or 3, then xyz will not be divisible by 6.
Therefore, statement (1) alone is sufficient to determine if xyz is divisible by 6.
(2) x + y + z is a multiple of 3.
If the sum of x, y, and z is a multiple of 3, it implies that at least one of x, y, or z is divisible by 3. However, this information alone does not tell us anything about whether xyz is divisible by 2. There could be cases where x, y, and z are not consecutive but still result in xyz being divisible by 6.
When considering each statement individually, we find that statement (1) alone is sufficient to determine if xyz is divisible by 6, while statement (2) alone is not sufficient.
Therefore, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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If x, y, z are positive integers, is xyz divisible by 6?(1) x, y, z are consecutive.(2) x + y + z is a multiple of 3.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
Question Description
If x, y, z are positive integers, is xyz divisible by 6?(1) x, y, z are consecutive.(2) x + y + z is a multiple of 3.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x, y, z are positive integers, is xyz divisible by 6?(1) x, y, z are consecutive.(2) x + y + z is a multiple of 3.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x, y, z are positive integers, is xyz divisible by 6?(1) x, y, z are consecutive.(2) x + y + z is a multiple of 3.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
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