Direction: 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 and Read both the statements and give answer
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What is the difference between two numbers?
I. First number is 60 percent of the other number.
II. 50 percent of the sum of first and second numbers is 24.
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- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- 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.
- If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- If the data even in both statements I and II together are not sufficient to answer the question.
- After combining these two statements we get the difference between two numbers as 12
- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Correct Option: E
On the basis of above given details in question ,
Let two numbers are a and b respectively .
From statement I , a = 60% of b,
| a = | 60 | x b | . |
| 100 |
| a = | 6 | b, | . |
| 10 |
⇒ 10a - 6b = 0 ⇒ 5a - 3b = 0
From statement II , (a + b) x 50% = 24
∴ a + b = 2 x 24 = 48
On solving both equations of a and b , we get a = 18 and b = 30
The difference between two numbers = 30 - 18 = 12
