In a school there are 180 students, out of which `1/3` rd are boys and rest are girls `1/3` rd of the boys are players and rest of the boys are not players, then the number of boys which are not players are

Options

A. 30
B. 40
C. 60
D. 80

Answer

To solve the problem step by step, we will follow the information given in the question:

**Step 1: Determine the total number of boys.**
- We know that there are 180 students in total.
- According to the question, one-third of the students are boys.

\[ \text{Number of boys} = \frac{1}{3} \times 180 = 60 \]

**Step 2: Determine the number of girls.**
- Since the rest of the students are girls, we can find the number of girls by subtracting the number of boys from the total number of students.

\[ \text{Number of girls} = 180 - 60 = 120 \]

**Step 3: Determine the number of boys who are players.**
- The question states that one-third of the boys are players.

\[ \text{Number of boys who are players} = \frac{1}{3} \times 60 = 20 \]

**Step 4: Determine the number of boys who are not players.**
- To find the number of boys who are not players, we subtract the number of boys who are players from the total number of boys.

\[ \text{Number of boys who are not players} = \text{Total boys} - \text{Boys who are players} = 60 - 20 = 40 \]

Thus, the number of boys who are not players is **40**.