**Q1. A boy goes to school at the speed of 3 km/h and turns back with a speed of 2 km/hr. If he takes 5 hours in all, then find out the distance in km between the village and the school. **

(a) 6

(b) 7

(c) 8

(d) 4

**Q2. Nikita starts her journey from Delhi to Bhopal and simultaneously Nishita starts from Bhopal to Delhi. After crossing each other, they finish their remaining journey in 49/9 hours and 9 hours, respectively. What is Nishita’s speed if Nikita’s speed is 36 km/hr? **

(a) 22 km/h

(b) 24 km/h

(c) 32 km/h

(d) 28 km/h

**Q3. A car, during its journey, travels 40 minutes at a speed of 30 km/h, another 50 minutes at a speed of 60 km/h and 1 hour at a speed of 30 km/h. Find out the average speed of the car. **

(a) 44 km/h

(b) 40 km/h

(c) 43 km/h

(d) 36 km/h

**Q4. By walking at 4/5 of his usual speed, Mohan is 6 minutes late to his office. Find out his usual time to cover the distance. **

(a) 21 minutes

(b) 24 minutes

(c) 28 minutes

(d) 25 minutes

**Q5. Two bicyclists travel the same journey with speed 9 km/h and 10 km/h. Find out the length of the journey when one takes 32 minutes longer than the other. **

(a) 45 km

(b) 52 km

(c) 38 km

(d) 48 km

**Q6. A sum of Rs. 400 amounts to Rs. 441 in 2 years when the interest is compounded annually. What will be its amount, if the rate of interest is increased by 5%? **

(a) Rs. 484

(b) Rs. 560

(c) Rs. 512

(d) Rs. 600

**Q7. There is 100% increase to an amount in 8 year, at simple interest. Find the compound interest of Rs. 8000 after 2 year at the same rate of interest**

(a) Rs. 2500

(b) Rs. 2000

(c) Rs. 2250

(d) Rs. 2125

**Q8. A certain sum at compound interest grows up to Rs. 3,840 in 4 years and up to Rs. 3,936 in 5 years. Find the rate of interest. **

(a) 2.5%

(b) 2%

(c) 3.5%

(d) 2.05%

**Q9. A sum of money at compound interest amounts of thrice itself in 3 years. In how many years will it be 9 times itself? **

(a) 9

(b) 27

(c) 6

(d) 3

**Q10. On a certain principal the compound interest compounded annually for the second year at 10% per annum is Rs. 132. The principal is**

(a) Rs. 1000

(b) Rs. 1320

(c) Rs. 1250

(d) Rs. 1200

**Directions (11-15): The following questions are based on the pie-charts given below: **

**Percentage-wise distribution of students studying in Arts and Commerce in seven different institutions – A, B, C, D, E, F and G **

**Total number of students studying Arts = 3800**

** **

**Total number of students studying commerce = 4200 **

**Q11. What is the total number of students studying Arts in institutes A and G together?**

(a) 1026

(b) 1126

(c) 1226

(d) 1206

**S11. Ans.(a)**

**Sol.** Total number of students studying Arts in institutes A and G together

=3800×((15 + 12))/100=3800×27/100=1026

**Q12. How many students from Institute B study Arts and Commerce? **

(a) 1180

(b) 1108

(c) 1018

(d) 1208

**S12. Ans.(c)**

**Sol. **Number of students studying Art in institute B =3800×8/100=304

Number of students studying commerce in institute B =4200×17/100=714

∴ Total number of students = 304 + 714 = 1018

**Q13. The ratio of the number of students studying Arts to that studying commerce in institute E is. **

(a) 27 : 17

(b) 19 : 27

(c) 19 : 16

(d) 19 : 28

**S13. Ans.(b)**

**Sol.** Number of students studying in Arts in institute E =3800×14/100=532

Number of students studying in commerce in institute E =4200×18/100=756

∴ Required ratio = 532 : 756 = 19 : 27

**Q14. The ratio of the number of students studying Arts in institute E to the studying commerce in institute D is **

(a) 12 : 17

(b) 12 : 7

(c) 19 : 21

(d) 17 : 19

**S14. Ans.(c)**

**Sol. **Number of students studying Arts in institute E = 532

Number of students studying Commerce in institute D = 4200×14/100=588

∴ Required ratio =532/588=19∶21

**Q15. How many students in institutes B and D together study commerce? **

(a) 1320

(b) 1302

(c) 1202

(d) 1220

**S15. Ans.(b)**

**Sol.** Total number of students studying commerce in institute B and D together

=4200×((17 + 14)/100)=42×31=1302