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For any non-zero numbers p and q,  What is the value of p$q?
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked
  • d)
    EACH statement ALONE is sufficient to answer the question asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For any non-zero numbers p and q, What is the value of p$q?a)Statement...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
In order to find the required value, we need to know the value of
Step 3: Analyze Statement 1 independently  
=> q= p2  ( Since |p|2 is always positive, we can remove the modulus sign)
Since we do not know the value of |p|, we cannot find a unique value of 
Statement 1 is not sufficient.
Step 4: Analyze Statement 2 independently
  • However, q may be positive or negative
  • This equation conveys that p is positive. So, |p| = p
  • =13(if q is positive) or − 13 (if q is negative)
Thus, Statement 2 is not sufficient to find a unique value of the ratio 
Step 5: Analyze Both Statements Together (if needed)
  • From Statement 1: q = p2
     
  • From Statement 2: =13 (if q is positive ) or − 13 ( if q is negative)
  • Since q is the square of a non-zero number, q must be positive
  • Combining both statements: =13 (since q is positive ) 
Thus, the two statements together are sufficient to obtain a unique value of 
Answer: Option C
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Question Description
For any non-zero numbers p and q, What is the value of p$q?a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askedd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about For any non-zero numbers p and q, What is the value of p$q?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 askedd)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 For any non-zero numbers p and q, What is the value of p$q?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 askedd)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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