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If x and y are positive numbers, x is what percent of y?
(1) 3x is 72% of 2y
(2) y = 2x + 1
  • 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 'A'. Can you explain this answer?
Verified Answer
If x and y are positive numbers, x is what percent of y?(1) 3x is 72% ...
Step 1 & 2: Understand Question and Draw Inference
Given: x, y > 0
To find: x is what percent of y?
  • Let x be z percent of y
  • So, in order to answer the question, we need to know the ratio x / y
 
Step 3 : Analyze Statement 1 independent
Statement 1 says that ‘3x is 72% of 2y’
  • Thus, Statement 1 leads us to a unique value of the ratio x/ y
  • So, Statement 1 alone is sufficient
 
Step 4 : Analyze Statement 2 independent
Statement 2 says that ‘y = 2x + 1’
Dividing both sides of the above equation by y:
  • The value of  x/y in the above equation will depend on the value of y
  • Since we do not know the value of y, we cannot find a unique value of the ratio x/y
  • So, Statement 2 alone is not sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Step 3, this step is not required
 
Answer: Option A
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If x and y are positive numbers, x is what percent of y?(1) 3x is 72% of 2y(2) y = 2x + 1a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. 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 If x and y are positive numbers, x is what percent of y?(1) 3x is 72% of 2y(2) y = 2x + 1a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x and y are positive numbers, x is what percent of y?(1) 3x is 72% of 2y(2) y = 2x + 1a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer?.
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