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For all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such that x/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. Can you explain this answer?
Verified Answer
For all positive numbers a and b, the function {a, b} = k, where k is ...
Steps 1 & 2: Understand Question and Draw Inferences
- Positive integers x and y such that {x/y,y} = 16
- As 16 is a multiple of y, possible values of y = factors of 16 = {1, 2, 4, 8, 16}
- As x is an integer, y/4 has to be an integer
- Out of {1, 2, 4, 8, 16}, y/4 is an integer for y = {4, 8, 16]
To Find: Value of y
As we’ve inferred above, the possible values of y are {4, 8, 16}
Step 3: Analyze Statement 1 independently
Since it’s given that {xy,y} = 16, using Statement 1 we can write: {x/y,2y} = 16. So, 16 is a multiple of 2y.
- In Steps 1 and 2 above, we’ve inferred that y = {4, 8 or 16}. So, 2y = {8, 16 or 32}. But 16 is not a multiple of 32. So, 2y ≠ 32.
- Therefore, 2y = 8 or 16
- Possible values of y = {4 or 8}
Since, we do not have a unique value of y, the statement is insufficient to answer.
Step 4: Analyze Statement 2 independently
Since it’s given that {xy,y} = 16, using Statement 1 we can write: {x/y,y2} = 16. So, 16 is a multiple of y2.
- In Steps 1 and 2 above, we’ve inferred that y = {4, 8 or 16}. So, y2 = {16, 64 or 1024}. But 16 is not a multiple of 64 or 1024. Hence y2 = 16
- Hence y = 4 (since y is given to be a positive integer, y cannot be equal to -4)
As we have a unique value of y, statement is sufficient to answer
Step 5: Analyze Both Statements Together (if needed)
As we have a unique answer from step-4, this step is not required.
Answer: B
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For all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. Can you explain this answer?
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For all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. 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 all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. 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 all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. Can you explain this answer?.
For all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. 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 all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. 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 all positive numbers a and b, the function {a, b} = k, where k is the multiple of b nearest to a.. If x and y are positive integers such thatx/y= 15.25 and {xy,y} = 16, what is the value of 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 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 'B'. Can you explain this answer?.
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