**Directions (1-5): Study the following information carefully to answer the questions given below:**

In the recently held Commonwealth Games, a total number of 500 players participated in five different games, viz Athletics, Hockey, Lawn Tennis, Rugby and Badminton. 15% of the total players participated in Badminton. ^{2}/_{5 }of the total players participated in Hockey. 6% of the total players participated in Lawn Tennis, and 25% of the total players participated in Athletics. The remaining players participated in Rugby. One-fourth of the Hockey players are females. 20% of the Badminton players are males. Half of the players who participated in Lawn Tennis are males. There are 55 female athletes. No female player participated in Rugby.

**1. The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby?**

1) 82%

2) 86%

3) 80%

4) 76%

5) None of these

**2. What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis?**

1) 125

2) 145

3) 130

4) 135

5) 150

**3. If due to certain reason Athletics was dropped and all the athletes left the tournament, then what was the percentage of male players among the total players remaining in the tournament?**

1) 45.66%

2) 40.33%

3) 35.33%

4) 30.66%

5) 66.66%

**4. What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey?**

1) 10 : 3

2) 3 : 10

3) 5 : 10

4) 3 : 25

5) None of these

**5. If there is an increase of 10% in the total number of female players participating in Hockey and Badminton, then what is the total number of female players who participated in the tournament?**

1) 225

2) 215

3) 218

4) 199

5) 191

**Q6. Quantity I: Total surface area of cylinder whose radius is 7 cm and height is 10 cm.**

**Quantity II: Total surface area of cuboid whose dimensions are 10 × 12 × 15 cm.**

1) Quantity I > Quantity II

2) Quantity I ≥ Quantity II

3) Quantity I < Quantity II

4) Quantity I ≤ Quantity II

5) Quantity I = Quantity II or Relation cannot be established

**Q7. ABCD is a square and QAC is a triangle. QA= 12 c, QC= 5 cm and ∠Q=90º**

**Quantity I: Area of the square ABCD**

**Quantity II: 150 cm ^{2}**

1) Quantity I > Quantity II

2) Quantity I ≥ Quantity II

3) Quantity I < Quantity II

4) Quantity I ≤ Quantity II

5) Quantity I = Quantity II or Relation cannot be established

**Q8**. **From a group of 6 men and 4 women, a committee of 4 persons is to be formed.**

**Quantity I: In how many different ways can it be done so that the committee has at least one woman.**

**Quantity II: In how many different ways can it be done so that the committee has at least 2 men.**

1) Quantity I > Quantity II

2) Quantity I ≥ Quantity II

3) Quantity I < Quantity II

4) Quantity I ≤ Quantity II

5) Quantity I = Quantity II or Relation cannot be established

Q9. **Out of the total 390 students studying in a college of Arts and Science, the ratio of Boys to Girls is 7:6 and the ratio of the number of students studying Arts and Science is 3:7. The boys and girls studying Arts are in the ratio of 4:5.**

**Quantity I: Students studying Science **

**Quantity II: Sum of the number of students studying Arts and number of girls studying Science.**

1) Quantity I > Quantity II

2) Quantity I ≥ Quantity II

3) Quantity I < Quantity II

4) Quantity I ≤ Quantity II

5) Quantity I = Quantity II or Relation cannot be established

**Q10. An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.**

**Quantity I: If three marbles are picked randomly, the probability of being two blue marbles and one yellow.**

**Quantity II: If four marbles are picked randomly, the probability of being one green, two blue and one red marble.**

1) Quantity I > Quantity II

2) Quantity I ≥ Quantity II

3) Quantity I < Quantity II

4) Quantity I ≤ Quantity II

5) Quantity I = Quantity II or Relation cannot be established