Question:
The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is \(66\frac{2}{3}\%\) more than that of X.
C. The product of the present ages of X and Y is 240 years.
The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is \(66\frac{2}{3}\%\) more than that of X.
C. The product of the present ages of X and Y is 240 years.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is \(66\frac{2}{3}\%\) more than that of X.
C. The product of the present ages of X and Y is 240 years.
Updated On: Oct 15, 2024
- Any of them
- Only C and either A or B
- Any two of them
- Only A and B together
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The Correct Option is D
Solution and Explanation
Let's analyze the statements:
Statement A: The ratio of X and Y's ages after 10 years is 11:15, providing future age information but not current ages.
Statement B: Y's present age is \(66\frac{2}{3}\%\) more than X's, indicating a relationship but not exact ages.
Statement C: The product of their ages is 240 years, giving a product but no individual ages.
Combinations:
1. Any single statement: None provides sufficient information for the age ratio.
2. C and A or B: Still lacks enough info for individual ages or the ratio.
3. Any two statements: No combination gives sufficient data to find the exact ratio.
4. A and B together: Provides the necessary relationship to determine their current ages and ratio.
So, the correct option is (D): Only A and B together are sufficient to find the ratio of X and Y's present ages.
Statement A: The ratio of X and Y's ages after 10 years is 11:15, providing future age information but not current ages.
Statement B: Y's present age is \(66\frac{2}{3}\%\) more than X's, indicating a relationship but not exact ages.
Statement C: The product of their ages is 240 years, giving a product but no individual ages.
Combinations:
1. Any single statement: None provides sufficient information for the age ratio.
2. C and A or B: Still lacks enough info for individual ages or the ratio.
3. Any two statements: No combination gives sufficient data to find the exact ratio.
4. A and B together: Provides the necessary relationship to determine their current ages and ratio.
So, the correct option is (D): Only A and B together are sufficient to find the ratio of X and Y's present ages.
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