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.
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.
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?
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?
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?
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
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
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?
Sol. Total number of students studying commerce in institute B and D together
=4200×((17 + 14)/100)=42×31=1302