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The operation denoted by the symbol # is defined for all real numbers p and r as p#r equals the larger of p and r. For example, 5#3 = 5. Which one of the distinct numbers x, y and z is the largest?
(1) (x#y)#z = x#z
(2) (x#z)#y = z#y
  • 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 to answer the question ask
  • 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 specific to the problem are needed.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The operation denoted by the symbol # is defined for all real numbers ...
(1) When X and Y are together: X turns out to be greater than Y, hence we get to see X#Z on the RHS so X>Y but no information on relation of X and Z - INSUFFICIENT
(2) When X and Z are together: Z turns out to be greater than X, hence we get to see Z#Y on the RHS so Z>X but no information on relation of Z and Y - INSUFFICIENT
Considering both - So X>Y and Z>X hence the relation is Z>X>Y
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The operation denoted by the symbol # is defined for all real numbers p and r as p#r equals the larger of p and r. For example, 5#3 = 5. Which one of the distinct numbers x, y and z is the largest?(1) (x#y)#z = x#z(2) (x#z)#y = z#ya)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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The operation denoted by the symbol # is defined for all real numbers p and r as p#r equals the larger of p and r. For example, 5#3 = 5. Which one of the distinct numbers x, y and z is the largest?(1) (x#y)#z = x#z(2) (x#z)#y = z#ya)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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The operation denoted by the symbol # is defined for all real numbers p and r as p#r equals the larger of p and r. For example, 5#3 = 5. Which one of the distinct numbers x, y and z is the largest?(1) (x#y)#z = x#z(2) (x#z)#y = z#ya)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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.
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