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Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements.
What is the ratio between two numbers x and y ?
I. 40% of x is 20% of 50
II. 30% of y is 25% of 72.
  • a)
    If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • b)
    if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • c)
    if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
  • d)
    if the data in both the Statements I and II are not sufficient to answer the question.
  • e)
    if the data in both the Statements I and II together are necessary to answer the question
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Each of the questions below consists of a question and two statements...
From statement I
(0.4)x = 0.2(50)
X = 25
From statement II:
0.3y = (0.25)72
Y = 60
Hence, X/Y = 5/12 Option 5
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Most Upvoted Answer
Each of the questions below consists of a question and two statements...
Understanding the Problem
To find the ratio between two numbers x and y, we need to analyze the information provided in both statements.
Statement I Analysis
- Statement I states that "40% of x is 20% of 50."
- This can be formulated as: 0.4x = 0.2 * 50.
- Simplifying, we get: 0.4x = 10, which leads to x = 25.
Thus, Statement I gives us the value of x.
Statement II Analysis
- Statement II states that "30% of y is 25% of 72."
- This can be formulated as: 0.3y = 0.25 * 72.
- Simplifying, we get: 0.3y = 18, which leads to y = 60.
Thus, Statement II gives us the value of y.
Combining the Information
- From Statement I, we found x = 25.
- From Statement II, we found y = 60.
- To find the ratio x:y, we calculate 25:60, which simplifies to 5:12.
Conclusion
- Both statements provide necessary information to find the values of x and y.
- Therefore, we require both Statement I and Statement II together to answer the question.
Final Answer
The correct option is E: both the Statements I and II together are necessary to answer the question.
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Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements.What is the ratio between two numbers x and y ?I. 40% of x is 20% of 50II. 30% of y is 25% of 72.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d) if the data in both the Statements I and II are not sufficient to answer the question.e) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?
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