NIMCET 2026 — Reasoning PYQ

To find the required percentage, we must first determine the total number of students and the total number of hockey players.

Step 1: Calculate the total number of students

The total number of students is the sum of those playing only hockey, only football, both games, and those playing nothing:

$$\text{Total Students}=70+100+30+150=350$$

Step 2: Calculate the total number of hockey players

Hockey players include those who play only hockey and those who play both games:

$$\text{Total Hockey Players}=70+30=100$$

Step 3: Calculate the percentage

The percentage of hockey players to total students is calculated as:

$$\text{Percentage}=\left(\frac{\text{Total Hockey Players}}{\text{Total Students}}\right)\times 100$$

$$\text{Percentage}=\left(\frac{100}{350}\right)\times 100=\frac{10000}{350}\approx 28.57\%$$

Conclusion:

The percentage of hockey players in the school is 28.57%, which corresponds to Option 3.