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If m # n represents the integer remainder that results when a positive integer m is divided by a positive integer n, what is the value of a positive integer x?
(1) 81 # x = 1
(2) x # 40 = 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 'E'. Can you explain this answer?
Most Upvoted Answer
If m # n represents the integer remainder that results when a positive...
(1) 81 # x = 1
From this statement, we know that the remainder when 81 is divided by x is 1. However, we don't have any information about x itself. The remainder could be 1 for various values of x. For example, if x is 80, the remainder would be 1, but if x is 2, the remainder would also be 1. Therefore, statement (1) alone is not sufficient to determine the value of x.
(2) x # 40 = 0
From this statement, we know that the remainder when x is divided by 40 is 0. This implies that x is a multiple of 40. However, we still don't know the specific value of x. It could be 40, 80, 120, or any other positive integer that is a multiple of 40. Therefore, statement (2) alone is not sufficient to determine the value of x.
By analyzing each statement individually, we can see that neither statement alone is sufficient to determine the value of x. Therefore, the answer is (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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If m # n represents the integer remainder that results when a positive integer m is divided by a positive integer n, what is the value of a positive integer x?(1) 81 # x = 1(2) x # 40 = 0a)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 'E'. Can you explain this answer?
Question Description
If m # n represents the integer remainder that results when a positive integer m is divided by a positive integer n, what is the value of a positive integer x?(1) 81 # x = 1(2) x # 40 = 0a)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 'E'. 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 m # n represents the integer remainder that results when a positive integer m is divided by a positive integer n, what is the value of a positive integer x?(1) 81 # x = 1(2) x # 40 = 0a)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 'E'. 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 m # n represents the integer remainder that results when a positive integer m is divided by a positive integer n, what is the value of a positive integer x?(1) 81 # x = 1(2) x # 40 = 0a)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 'E'. Can you explain this answer?.
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