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If X and Y are positive integers, what is the ratio between Y and X?
(1) XY = 150.
(2) Y is 22% of X.
(1) XY = 150.
(2) Y is 22% of X.
- a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
- b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
- c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
- d)Either statement BY ITSELF is sufficient to answer the question.
- e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If X and Y are positive integers, what is the ratio between Y and X?(1...
The best answer is B.
The question actually asks what is Y/X or X/Y.
Statement (1) is not sufficient because from the product of the two variables we can’t make out the ratio. Statement (2) is sufficient by itself, Y = 22X/100 à Y/X = 11/50.
Therefore the answer is B
Statement (1) is not sufficient because from the product of the two variables we can’t make out the ratio. Statement (2) is sufficient by itself, Y = 22X/100 à Y/X = 11/50.
Therefore the answer is B
This question is part of UPSC exam. View all GMAT courses
Most Upvoted Answer
If X and Y are positive integers, what is the ratio between Y and X?(1...
Statement 1: XY = 150
From this statement alone, we cannot determine the ratio between Y and X. We only know that the product of X and Y is 150, but we don't have any information about their individual values or their relationship to each other.
Therefore, statement 1 by itself is not sufficient to answer the question.
Statement 2: Y is 22% of X
This statement tells us the relationship between Y and X. It states that Y is 22% of X, which can be expressed as Y = 0.22X.
With this information, we can determine the ratio between Y and X. The ratio is 0.22:1, or simply 22:100.
Therefore, statement 2 by itself is sufficient to answer the question.
Statements 1 and 2 together:
Combining the information from both statements, we have:
XY = 150
Y = 0.22X
From statement 1, we know the product of X and Y is 150. From statement 2, we know that Y is 22% of X.
By substituting the value of Y from statement 2 into the equation from statement 1, we can solve for X:
X(0.22X) = 150
0.22X^2 = 150
X^2 = 150/0.22
X^2 = 681.82
X ≈ √681.82
X ≈ 26.14
Substituting this value of X back into the equation from statement 2, we can solve for Y:
Y = 0.22(26.14)
Y ≈ 5.75
Therefore, the ratio between Y and X is approximately 5.75:26.14, which simplifies to 23:104.
Conclusion:
From statement 2 alone, we can determine the ratio between Y and X. Therefore, statement 2 by itself is sufficient to answer the question. Statement 1 alone is not sufficient. Therefore, the correct answer is option B.
From this statement alone, we cannot determine the ratio between Y and X. We only know that the product of X and Y is 150, but we don't have any information about their individual values or their relationship to each other.
Therefore, statement 1 by itself is not sufficient to answer the question.
Statement 2: Y is 22% of X
This statement tells us the relationship between Y and X. It states that Y is 22% of X, which can be expressed as Y = 0.22X.
With this information, we can determine the ratio between Y and X. The ratio is 0.22:1, or simply 22:100.
Therefore, statement 2 by itself is sufficient to answer the question.
Statements 1 and 2 together:
Combining the information from both statements, we have:
XY = 150
Y = 0.22X
From statement 1, we know the product of X and Y is 150. From statement 2, we know that Y is 22% of X.
By substituting the value of Y from statement 2 into the equation from statement 1, we can solve for X:
X(0.22X) = 150
0.22X^2 = 150
X^2 = 150/0.22
X^2 = 681.82
X ≈ √681.82
X ≈ 26.14
Substituting this value of X back into the equation from statement 2, we can solve for Y:
Y = 0.22(26.14)
Y ≈ 5.75
Therefore, the ratio between Y and X is approximately 5.75:26.14, which simplifies to 23:104.
Conclusion:
From statement 2 alone, we can determine the ratio between Y and X. Therefore, statement 2 by itself is sufficient to answer the question. Statement 1 alone is not sufficient. Therefore, the correct answer is option B.
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If X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. Can you explain this answer?
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If X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. 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 X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. 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 X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. Can you explain this answer?.
If X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. 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 X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. 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 X and Y are positive integers, what is the ratio between Y and X?(1) XY = 150.(2) Y is 22% of X.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'B'. Can you explain this answer?.
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