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If x, n, and m are positive integers and x/ n = m, is x divisible by 3?
(1) m is divisible by 6.
(2) n is divisible by 15.
  • 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 'D'. Can you explain this answer?
Most Upvoted Answer
If x, n, and m are positive integers and x/ n = m, is x divisible by 3...
Statement (1): m is divisible by 6.
Since x/n = m, we can rewrite this equation as x = mn. From this equation, we can see that x will be divisible by 6 if both m and n are divisible by 6. However, statement (1) only tells us that m is divisible by 6 and provides no information about the divisibility of n. Therefore, statement (1) alone is not sufficient to determine if x is divisible by 3.
Statement (2): n is divisible by 15.
Similar to the previous analysis, we know that x will be divisible by 3 if both m and n are divisible by 3. However, statement (2) only tells us that n is divisible by 15 and provides no information about the divisibility of m. Therefore, statement (2) alone is not sufficient to determine if x is divisible by 3.
Since statement (1) tells us that m is divisible by 6 and statement (2) tells us that n is divisible by 15, we can conclude that both m and n are divisible by their least common multiple (LCM), which is 30. Therefore, we can express x as x = 30k, where k is an integer.
Since 30 is divisible by 3, we can conclude that x is also divisible by 3. Therefore, each statement alone (statement (1) and statement (2)) is individually sufficient to determine that x is divisible by 3.
Based on the analysis above, the answer is (D) EACH statement ALONE is sufficient to answer the question asked.
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If x, n, and m are positive integers and x/ n = m, is x divisible by 3?(1) m is divisible by 6.(2) n is divisible by 15.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 'D'. Can you explain this answer?
Question Description
If x, n, and m are positive integers and x/ n = m, is x divisible by 3?(1) m is divisible by 6.(2) n is divisible by 15.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 'D'. 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, n, and m are positive integers and x/ n = m, is x divisible by 3?(1) m is divisible by 6.(2) n is divisible by 15.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 'D'. 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, n, and m are positive integers and x/ n = m, is x divisible by 3?(1) m is divisible by 6.(2) n is divisible by 15.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 'D'. Can you explain this answer?.
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