Question

How many boys are there in the class ?
A. The class has total 45 children and ratio of boys to girls is 4 : 5.
B. The ratio of girls to boys is 4 : 5 and boys are nine more than the girls.
This consists of question and two statements numbered A and B. Decide whether the data provided in the statement(s) aresufficient/necessary to answer the question.

• A. If the data in statement B alone are sufficient to answer the question while the data in statement A alone are not sufficient to answer the question.
• B. If the data in statement A alone are sufficient to answer the question, while the data in statement B alone are not sufficient to answer the question.
• C. If the data either in statements A alone or in statement B alone are sufficient to answer the question.
• D. If the data in both the statements A and B together are not sufficient to answer the question.

Answer 1

Answer: (B)

If the data in statement A alone are sufficient to answer the question, while the data in statement B alone are not sufficient to answer the question.

Answer 2

The correct option is (B): If the data in statement A alone are sufficient to answer the question, while the data in statement B alone are not sufficient to answer the question.
Reason: Statement A provides the total number of children and the ratio of boys to girls, which allows us to calculate the number of boys. Statement B, while providing a ratio and a difference, does not give enough information to determine the number of boys directly.