Question

In a group of 150 students, find the number of girls.
[I.] Each girl was given 50 paise, while each boy was given 25 paise to purchase goods totaling Rs. 45.
[II.] Girls and boys were given 30 paise each to buy goods totaling Rs. 45.

• A. if the question can be answered with the help of any one statement alone but not by the other statement.
• B. if the question can be answered with the help of either of the statements taken individually.
• C. if the question can be answered with the help of both statements together.
• D. if the question cannot be answered even with the help of both statements together.

Hint:

Look for variation in values assigned to groups — that allows you to form linear equations.

Answer 1

The Correct Option is A

Let number of girls = \( g \), number of boys = \( 150 - g \) From I: Total value = Rs. 45 = 4500 paise \[ 50g + 25(150 - g) = 4500 \Rightarrow 50g + 3750 - 25g = 4500 \Rightarrow 25g = 750 \Rightarrow g = 30 \] So Statement I is sufficient. From II: Every student got same amount (30 paise), total = \( 150 \times 30 = 4500 \) No way to separate number of girls and boys. So only Statement I is sufficient.