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This section includes 437 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
1. |
A student goes to school at the rate of $$2\frac{1}{2}$$ km/hr and reaches 6 min late. If he travels at the speed of 3 km/hr he is 10 min early. What is the distance to the school ? |
A. | km |
B. | $3\frac{1}{4}$$ km |
C. | km |
D. | $3\frac{1}{2}$$ km |
Answer» B. $3\frac{1}{4}$$ km | |
2. |
Two planes move along a circle of circumference 1.2 kms with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction one plane overtakes the other every 60 seconds. The speed of the slower plane is : |
A. | .02 km/sec |
B. | .03 km/sec |
C. | .04 km/sec |
D. | .05 km/sec |
Answer» C. .04 km/sec | |
3. |
A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 metres ahead of the policeman, then the time required for the policeman to catch the thief will be : |
A. | minutes |
B. | minutes |
C. | minutes |
D. | 0 minutes |
Answer» C. minutes | |
4. |
A car takes 15 minutes less to cover a distance of 75 km, if it increases its speed by 10 km/hr from its usual speed. How much time would it take to cover a distance of 300 km using this speed ? |
A. | hrs |
B. | $5\frac{1}{2}$$ hrs |
C. | hrs |
D. | $6\frac{1}{2}$$ hrs |
Answer» B. $5\frac{1}{2}$$ hrs | |
5. |
A person travels three equal distance at a speed of x km/hr, y km/hr and z km/hr respectively. What is the average speed for the whole journey ? |
A. | $\frac{{xyz}}{{3\left( {xy + yz + zx} \right)}}$$km/hr |
B. | $\frac{{xyz}}{{\left( {xy + yz + zx} \right)}}$$km/hr |
C. | $\frac{{\left( {xy + yz + zx} \right)}}{{xyz}}$$km/hr |
D. | $\frac{{3xyz}}{{\left( {xy + yz + zx} \right)}}$$km/hr |
Answer» E. | |
6. |
To reach point B from point A at 4 pm, Sara will have to travel at an average speed of 18 kmph. She will reach point B at 3 pm if she travels at an average speed of 24 kmph. At what average speed should Sara travels to reach point B at 2 pm ? |
A. | 6 km/hr |
B. | 8 km/hr |
C. | 5 km/hr |
D. | 0 km/hr |
Answer» B. 8 km/hr | |
7. |
Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes ? |
A. | km/hr |
B. | km/hr |
C. | km/hr |
D. | km/hr |
Answer» D. km/hr | |
8. |
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ? |
A. | 00 m |
B. | 50 m |
C. | 90 m |
D. | 00 m |
Answer» B. 50 m | |
9. |
A train covers a distance between two stations A and B in 45 minutes. If the speed of the train is reduced by 5 km/hr, then it covers the distance in 48 minutes. The distance between the stations A and B is : |
A. | 5 km |
B. | 0 km |
C. | 4 km |
D. | 0 km |
Answer» C. 4 km | |
10. |
A cyclist rides 24 km at 16 kmph and further 36 km at 15 kmph. Find his average speed for the journey ? |
A. | 5.38 km/hr |
B. | 5.5 km/hr |
C. | 6 km/hr |
D. | one of these |
Answer» B. 5.5 km/hr | |
11. |
A train is scheduled to cover the distance between two stations 46 km apart in one hour. If it travels 25 km at a speed of 40 km/hr, find the speed for the remaining journey to complete it in the scheduled time : |
A. | 6 km/hr |
B. | 6 km/hr |
C. | 6 km/hr |
D. | 6 km/hr |
Answer» D. 6 km/hr | |
12. |
Two men P and Q start a journey from the same place at a speed of 3 km/hr and $$3\frac{1}{2}$$ km/hr respectively. If they move in the same direction then what is the distance them after 4 hours ? |
A. | km |
B. | $2\frac{1}{2}$$ km |
C. | km |
D. | $\frac{1}{2}$$ km |
Answer» D. $\frac{1}{2}$$ km | |
13. |
Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometres does each lady travel in one hour ? |
A. | km, 3 km |
B. | km, 5 km |
C. | km, 6 km |
D. | km, 14 km |
Answer» D. km, 14 km | |
14. |
Paschim Express left Delhi for Mumbai at 14.30 hrs travelling at a speed of 60 kmph and August Kranti Express left Delhi for Mumbai in the same day at 16.30 hrs travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet (excluding stoppages) ? |
A. | 20 km |
B. | 60 km |
C. | 80 km |
D. | 00 km |
Answer» D. 00 km | |
15. |
A bus covered a certain distance from village A to village B at the speed of 60 km/hr. However on its return journey it got stuck in traffic and covered the same distance at the speed of 40 km/hr and took 2 hours more to reach its destination. What is the distance covered between villages A and B ? |
A. | 00 km |
B. | 40 km |
C. | 60 km |
D. | annot be determined |
E. | one of these |
Answer» C. 60 km | |
16. |
A man travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance : |
A. | ${\text{60 km/hr}}$$ |
B. | $60\frac{5}{123}{\text{ km/hr}}$$ |
C. | ${\text{62 km/hr}}$$ |
D. | $65\frac{5}{123}{\text{ km/hr}}$$ |
Answer» E. | |
17. |
A train covers a distance of $$193\frac{1}{3}$$ km in $$4\frac{1}{4}$$ hours with one stoppage of 10 minutes, two of 5 minutes and one of 3 minutes on the way. The average speed of the train is : |
A. | 8 km/hr |
B. | 0 km/hr |
C. | 5 km/hr |
D. | 0 km/hr |
Answer» C. 5 km/hr | |
18. |
A man performs $$\frac{2}{15}$$ of the total journey by rail, $$\frac{9}{20}$$ by bus and the remaining 10 km, on the cycle. His total journey is : |
A. | 1.2 km |
B. | 8.4 km |
C. | 2.8 km |
D. | 4 km |
Answer» E. | |
19. |
If Karan travels at a speed of 60 kmph and covers a distance in 9 hrs., then how much time will he take to travel the same distance at a speed of 90 kmph ? |
A. | hours |
B. | hours |
C. | 2 hours |
D. | hours |
Answer» C. 2 hours | |
20. |
A train started from station A and proceeded towards station B at a speed of 48 km/hr. Forty-five minutes later another train started from station B and proceeded towards station a at 50 km/hr. If the distance between the two stations is 232 km, at what distance from station A will the trains meet ? |
A. | 08 km |
B. | 32 km |
C. | 44 km |
D. | one of these |
Answer» C. 44 km | |
21. |
Ramesh travels 760 km to his home, partly by train and partly by car. He takes 8 hours, if he travels 160 km by train and the rest by car. He takes 12 minutes more, if he travels 240 km by train and the rest by car. What are the spends of the car and the train respectively ? |
A. | 0 km/hr, 60 km/hr |
B. | 00 km/hr, 80 km/hr |
C. | 0 km/hr, 70 km/hr |
D. | 00 km/hr, 90 km/hr |
Answer» C. 0 km/hr, 70 km/hr | |
22. |
A person wishes to reach his destination 90 km away 3 hours but for the first half of the journey his speed was 20 km/hr. His average speed for the rest of the journey should be : |
A. | km/hr |
B. | .75 km/min |
C. | km/min |
D. | one of these |
Answer» D. one of these | |
23. |
A car goes 20 metres in a second. Find its speed in km/hr ? |
A. | 8 km/hr |
B. | 2 km/hr |
C. | 6 km/hr |
D. | 0 km/hr |
Answer» C. 6 km/hr | |
24. |
Train X leaves New York at 1 am and travels east at a constant speed of x mph. If train Z leaves New York at 2 am and travels east, at what constant rate of speed will train Z have to travel in order to catch train X at exactly 5.30 am ? |
A. | $\frac{5}{6}x$$ |
B. | $\frac{9}{8}x$$ |
C. | $\frac{6}{5}x$$ |
D. | $\frac{9}{7}x$$ |
E. | $\frac{3}{2}x$$ |
Answer» E. $\frac{3}{2}x$$ | |
25. |
There are 8 equidistant points A, B, C, D, E, F, G and H in the clockwise direction on the periphery of a circle. In a time interval t, a person reaches from A to C with uniform motion while another person reaches the point E from the point B during the same time interval with uniform motion. Both the persons move in the same direction along the circumference of the circle and start at the same instant. How much time after the start, will the two persons meet each other ? |
A. | t |
B. | t |
C. | t |
D. | ever |
Answer» C. t | |
26. |
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour ? |
A. | min |
B. | 0 min |
C. | 2 min |
D. | 0 min |
Answer» C. 2 min | |
27. |
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km//hr. His average speed for the entire trip is approximately: |
A. | 0.4 km/hr |
B. | 0.8 km/hr |
C. | 1 km/hr |
D. | 2.2 km/hr |
Answer» C. 1 km/hr | |
28. |
A man performs $$\frac{3}{5}$$ of the total journey by rail, $$\frac{7}{20}$$ by bus and the remaining 6.5 km on foot. His total journey is : |
A. | 5 km |
B. | 00 km |
C. | 20 km |
D. | 30 km |
Answer» E. | |
29. |
A man takes 100 minutes to cover a certain distance at a speed of 6 km/hr. If he walks with a speed of 10 km/hr, he covers the same distance in : |
A. | 0 min |
B. | 0 min |
C. | 0 min |
D. | 0 min |
E. | 0 min |
Answer» E. 0 min | |
30. |
A man takes 50 minutes to cover a certain distance at a speed of 6 km/hr. If he walks with a speed of 10 km/hr, he covers the same distance in : |
A. | 0 min |
B. | 0 min |
C. | 0 min |
D. | 0 min |
Answer» D. 0 min | |
31. |
A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is $$\frac{3}{8}$$ of the distance AB measured from the entrance A. When the train whistles, that cat runs. If the cat moves to the entrance A of the tunnel, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The ratio of the speed of the train to that of the cat is of the order : |
A. | :1 |
B. | : 1 |
C. | : 1 |
D. | one of these |
Answer» C. : 1 | |
32. |
Two cyclists start from the same place in opposite directions. One goes towards north at 18 kmph and the other goes towards south at 20 kmph. What time will they take to be 47.5 km apart ? |
A. | ${\text{1}}\frac{1}{4}{\text{ hrs}}$$ |
B. | ${\text{2}}\frac{1}{4}{\text{ hrs}}$$ |
C. | hrs 23 min |
D. | ${\text{2}}\frac{1}{2}{\text{ hrs}}$$ |
Answer» B. ${\text{2}}\frac{1}{4}{\text{ hrs}}$$ | |
33. |
A cyclist drove one kilometre, with the wind in his back, in 3 minutes and drove the same way back, against the wind, in 4 minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive 1 km without wind ? |
A. | $2\frac{1}{3}$$ min |
B. | $2\frac{3}{7}$$ min |
C. | $3\frac{3}{7}$$ min |
D. | $3\frac{7}{12}$$ min |
Answer» D. $3\frac{7}{12}$$ min | |
34. |
If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 min only. The correct time for the train to complete its journey is : |
A. | 3 min |
B. | 5 min |
C. | 9 min |
D. | 1 min |
Answer» D. 1 min | |
35. |
A man can walk uphill at the rate of $$2\frac{1}{2}$$ km/hr and downhill at the rate of $$3\frac{1}{4}$$ km/hr. If the total time required to walk a certain distance up the hill and return to the starting point was 4 hr 36 min, then what was the distance walked up the hill by the man ? |
A. | km |
B. | $4\frac{1}{2}$$ km |
C. | $5\frac{1}{2}$$ km |
D. | $6\frac{1}{2}$$ km |
Answer» E. | |
36. |
Ravi walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at a speed of 10 km an hour, he returns home at 19.00 hours. If he walks at 15 km an hour, her returns home at 18.30 hours. How far must he walk in order to return home at 18.15 hours ? |
A. | 7 km/hr |
B. | 7.5 km/hr |
C. | 8 km/hr |
D. | 9 km/hr |
E. | one of these |
Answer» F. | |
37. |
The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and fro journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is : |
A. | 5 km/hr |
B. | 7.5 km/hr |
C. | 2 km/hr |
D. | 6.25 km/hr |
Answer» E. | |
38. |
The speed of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination ? |
A. | $1\frac{1}{3}$$ hours |
B. | $1\frac{2}{3}$$ hours |
C. | $2$$ hours |
D. | $2 \frac{2}{3}$$ hours |
Answer» B. $1\frac{2}{3}$$ hours | |
39. |
A star is 8.1 × 1013 km away from the earth. Suppose light travels at the speed of 3.0 × 105 km per second. How long will it take the light from the star to reach the earth ? |
A. | .5 × 103 hours |
B. | .5 × 104 hours |
C. | .7 × 1010 seconds |
D. | .7 × 1011 seconds |
Answer» C. .7 × 1010 seconds | |
40. |
With an uniform speed, a car covers a distance in 8 hours. had the speed been increased by 4 km/hr, the same distance could have been covered in 7 hr and 30 min. What is the distance covered ? |
A. | 20 km |
B. | 80 km |
C. | 20 km |
D. | 40 km |
Answer» C. 20 km | |
41. |
The speeds of three cars are the ratio 2 : 3 : 4. The ratio of the taken by these cars to travel the same distance is : |
A. | : 3 : 4 |
B. | : 3 : 2 |
C. | : 3 : 6 |
D. | : 4 : 3 |
Answer» E. | |
42. |
Jane travelled $$\frac{4}{7}$$ as many miles on foot as by water and $$\frac{2}{5}$$ as many miles on horseback as by water. If she covered total of 3036 miles, how many miles did she travel on foot ? |
A. | 540 miles |
B. | 80 miles |
C. | 56 miles |
D. | 16 miles |
Answer» C. 56 miles | |
43. |
A car travels the first one third of a certain distance with a speed of 10 km/hr, the next one third distance with a speed of 20 km/hr and the last one third distance with a speed of 60 km/hr. thee average speed of the car for the whole journey is : |
A. | 8 km/hr |
B. | 4 km/hr |
C. | 0 km/hr |
D. | 6 km/hr |
Answer» B. 4 km/hr | |
44. |
Amit starts from a point A and walks to another points B and then returns from B to A by his car and thus takes a total time of 6 hours and 45 min. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him to walk both ways ? |
A. | hrs 45 min |
B. | hrs 15 min |
C. | hrs 30 min |
D. | hrs 45 min |
Answer» E. | |
45. |
Two guns were fired from the same place at an interval of 8 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearing of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching the place at what speed (in km/hr) ? |
A. | 4 km/hr |
B. | 7 km/hr |
C. | 0 km/hr |
D. | 6 km/hr |
Answer» C. 0 km/hr | |
46. |
Two boys A and B start at the same time to ride from Delhi to Meerut, 60 km away. A travels 4 km an hours slower than B, B reaches Meerut and at once turns back meeting A, 12 km from Meerut. A's rate was : |
A. | km/hr |
B. | km/hr |
C. | 2 km/hr |
D. | 6 km/hr |
Answer» C. 2 km/hr | |
47. |
With an average speed of 50 km/hr, a train reaches its destination in time. If it goes with an average speed of 40 km/hr, it is late by 24 min. The total journey is : |
A. | 0 km |
B. | 0 km |
C. | 0 km |
D. | 0 km |
Answer» E. | |
48. |
A car covers a distance from town 1 to town 2 at the speed of 56 km/hr and from town 2 to town 1 at the speed of 53 km/hr. What is the average speed of the car ? |
A. | 3.5 km/hr |
B. | 4 km/hr |
C. | 5 km/hr |
D. | 5.5 km/hr |
E. | one of these |
Answer» F. | |
49. |
The speed of a car increases by 2 kms after every one hours. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours ? |
A. | 56 kms |
B. | 82 kms |
C. | 52 kms |
D. | 56 kms |
E. | one of these |
Answer» D. 56 kms | |
50. |
A plane flying north at 500 mph passes over a city at 12 noon. A plane flying east at the same altitude passes over the same city at 12.30 pm. The plane is flying east at 400 mph. To the nearest hundred miles, how far apart are the two planes at 2 pm ? |
A. | 00 miles |
B. | 000 miles |
C. | 100 miles |
D. | 200 miles |
E. | 300 miles |
Answer» E. 300 miles | |