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If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?
(1) If r = s, then r θ s = 0.
(2) If r ≠ s, then r θ s ≠ s θ r.
(2) If r ≠ s, then r θ s ≠ s θ r.
- 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?
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Most Upvoted Answer
If r and s are positive numbers and θ is one of the operations, ...
Statement (1): If r = s, then r θ s = 0.
From this statement, we know that if r is equal to s, then the result of the operation θ between r and s is 0. However, this statement does not provide specific information about the operation θ. We cannot determine which operation (+, −, ×, or ÷) corresponds to θ based solely on this statement.
Statement (2): If r ≠ s, then r θ s ≠ s θ r.
From this statement, we know that if r is not equal to s, then the result of the operation θ between r and s is not equal to the result of the operation θ between s and r. This statement provides a rule about the commutativity of the operation θ, indicating that the operation θ is not commutative. However, we still do not know the specific operation θ.
When we consider both statements together, we know that if r = s, then r θ s = 0, and if r ≠ s, then r θ s ≠ s θ r. These statements do not provide enough information to determine the exact operation θ. We only know that the operation θ must satisfy these conditions.
Therefore, Statement (1) alone is sufficient to establish a rule about the result of the operation θ, but we cannot determine the specific operation θ. The correct 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 r and s are positive numbers and θ is one of the operations, ...
Statement (1): If r = s, then r θ s = 0.
From this statement, we know that if r is equal to s, then the result of the operation θ between r and s is 0. However, this statement does not provide specific information about the operation θ. We cannot determine which operation (+, −, ×, or ÷) corresponds to θ based solely on this statement.
Statement (2): If r ≠ s, then r θ s ≠ s θ r.
From this statement, we know that if r is not equal to s, then the result of the operation θ between r and s is not equal to the result of the operation θ between s and r. This statement provides a rule about the commutativity of the operation θ, indicating that the operation θ is not commutative. However, we still do not know the specific operation θ.
When we consider both statements together, we know that if r = s, then r θ s = 0, and if r ≠ s, then r θ s ≠ s θ r. These statements do not provide enough information to determine the exact operation θ. We only know that the operation θ must satisfy these conditions.
Therefore, Statement (1) alone is sufficient to establish a rule about the result of the operation θ, but we cannot determine the specific operation θ. The correct 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 r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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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If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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 r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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 r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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?.
If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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 r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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 r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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?.
Solutions for If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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? in English & in Hindi are available as part of our courses for GMAT.
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If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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?, a detailed solution for If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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? has been provided alongside types of If r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷, which operation is θ ?(1) If r = s, then r θ s = 0.(2) If r ≠ s, then r θ s ≠ s θ r.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? theory, EduRev gives you an
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