**Directions (1-5): Read the following data carefully and answer the questions given **

below. In a dance competition there are 132 students of institution who participate in either of the two forms of dance i.e., Folk and Jazz.

Ratio of boys to girls who participate in Folk dance is 3:5 respectively. Number of boys participate in jazz dance is 40% less than girls participate in Folk dance. Average number of boys participate in both dances is 27.

**Q1. Girls participate in jazz dance is what percent of girls participate in Folk dance?**

(a) 70⅓%

(b) 73⅓%

(c) 75%

(d) 87⅓%

(e) 62 ½ %

**Q2. Find the difference between number of boys participate in Folk dance and number of girls participate in jazz dance.**

(a) 6

(b) 2

(c) 9

(d) 12

(e) 16

**Q3. Total number of students who participate in Hip Hop dance is 82. If number of girls who participate in Hip Hop dance is more than number of boys who participate in Folk dance, then find the boys participate in Hip Hop dance.**

(a) 60

(b) 48

(c) 36

(d) 52

(e) 66

**Q4. Find the ratio between total number of boys to that of girls who participate in both dances together.**

(a) 9 :13

(b) 8 :15

(c) 9 :11

(d) 11 :14

(e) 7 :12

**Q5. Find the average number of boys and girls participate in Folk dance.**

(a) 38

(b) 36

(c) 42

(d) 46

(e) 28

**Directions (6-10): Solve the given quadratic equations and mark the correct option based on your answer.**

(a) if x>y

(b) if x≥y

(c) if x<y

(d) if x ≤y

(e) if x = y or no relation can be established between x and y.

**Q6**. I. x²+ 10x+16=0

II. y²+9y+20=0

**Q7**. I. 2x² – 28x + 90 =0

II. 3y² + 8y+4=0

**Q8**. I. x² +31x + 108 = 0

II. y² – 21y + 98 = 0

**Q9**. I. x² – 36x+99= 0

II. y² – 6y-7=0

**Q10**. I. x² –53x + 196 = 0

II. y² + 23y + 102 = 0

**Q11. The speed of boat A in still Water is more than the speed of boat B in still water and difference between the speed of two boats in still water is equal to the upstream speed of boat B. Boat A takes 8.5 hours to cover 85 km downstream. Find the time taken by boat B to cover 55 km in still water?**

(a) 19 hours

(b) 10 hours

(c) 8 hours

(d) 11 hours

(e) 7 hours

**Q12. Three solid cubes of edges 4 cm, 5 cm, 6 cm are melted together to make a new cube. 62 cm³ of the melted material is lost due to improper handling. The area (in cm²) of the whole surface of the newly formed cube is.**

(a) 278 cm²

(b) 224 cm²

(c) 204 cm²

(d) 264 cm²

(e) 294 cm²

**Q13. Train D moving with speed of 60 km/h crosses a pole in 24 sec. Length of train E is 60 meter less than length of train D. Find the time taken by train E to cross the bridge of length 122 m if speed of train E is 108 km/h. **

(a) 8 sec

(b) 12 sec

(c) 5 sec

(d) 15.4 sec

(e) 18 sec

**Q14. Rs.25000 was invested for 2 years, partly in scheme M at the rate of 8% simple interest p.a. and partly in scheme N at the rate of 10% compound interest p.a. If difference between interest in both the scheme is Rs.1040, then find the amount invested in scheme N. (Interest earned in scheme M is more than that in scheme N) **

(a) Rs.7500

(b) Rs.8000

(c) Rs.13000

(d) Rs.10000

(e) Rs.14000

**Q15. The monthly income of A is 40% more than that of B and B’s monthly income is 15% less than that of C. If total annual income of C is Rs.336000, then find the monthly income of A.**

(a) Rs.33320

(b) Rs.42460

(c) Rs.49800

(d) Rs 41200

(e) Rs.46900

**Solutions**