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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How many boys are there in the class?
I. The class has total 45 children and ratio of boys to girls is 4 : 5.
II. The ratio of girls to boys is 4 : 5 and boys are nine more than the girls.
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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.
- 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: C
As per the given above question ,
| From statement I , Number of boys in the class = | 4 | x 45 = 20 | . |
| 9 |
Ratio of boys to girls = 4 : 5.
| From statement II , | B | = | 5 | and B - G = 9 |
| G | 4 |
Let numbers of boys and girls are 5k and 4k .
On Solving, the above two statements , we get 5k - 4k = 9 ⇒ k = 9
Number of boys in the class B = 5 x 9 = 45.
