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If x and y are integers, is x + y divisible by 6 ?
(1) x is divisible by 6.
(2) y is divisible by 6.
  • 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 'C'. Can you explain this answer?
Most Upvoted Answer
If x and y are integers, is x + y divisible by 6 ?(1) x is divisible b...
Statement (1): x is divisible by 6.
If x is divisible by 6, it means that x can be written as x = 6k for some integer k. Adding y to x, we have x + y = 6k + y. From this equation, we can see that whether x + y is divisible by 6 depends on the value of y. Statement (1) alone does not provide any information about the divisibility of y, so it is not sufficient to determine if x + y is divisible by 6.
Statement (2): y is divisible by 6.
If y is divisible by 6, it means that y can be written as y = 6m for some integer m. Adding x to y, we have x + y = x + 6m. Similarly to statement (1), statement (2) alone does not provide any information about the divisibility of x, so it is not sufficient to determine if x + y is divisible by 6.
When we consider both statements together, we know that x is divisible by 6 (statement 1) and y is divisible by 6 (statement 2). In this case, x can be written as x = 6k and y can be written as y = 6m, where k and m are integers. Adding x and y, we have x + y = 6k + 6m = 6(k + m). Since k + m is an integer, we can conclude that x + y is divisible by 6.
Therefore, together, statements (1) and (2) are sufficient to answer the question. The answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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If x and y are integers, is x + y divisible by 6 ?(1) x is divisible by 6.(2) y is divisible by 6.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 'C'. Can you explain this answer?
Question Description
If x and y are integers, is x + y divisible by 6 ?(1) x is divisible by 6.(2) y is divisible by 6.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 'C'. 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 and y are integers, is x + y divisible by 6 ?(1) x is divisible by 6.(2) y is divisible by 6.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 'C'. 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 and y are integers, is x + y divisible by 6 ?(1) x is divisible by 6.(2) y is divisible by 6.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 'C'. Can you explain this answer?.
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