I will post 400 MCQ on Maths for SSC-CGL. These 400 questions are unique. These are variety questions. I will call these questions as “Project 400 Questions”. These questions are developed on the basis of research. If any SSC CGL aspirant become proficient in these 400 questions I am sure he will score always 40+ score in maths in tier 1 and 180+ in tier 2. Keep in mind along with these representative questions a lot of practice is required.
I am posting 30 varieties questions on "Time and Distance” . This is considered a difficult chapter. Generally 2-3 questions can be asked in Tier 1 and 5-8 in Tier 2.
Q1. A train is traveling at the rate of 45 km/hr. How many seconds, it will take to cover a distance of 4/5 Km?
a) 36 b) 64 c) 90 d) 120
Q2. A train 180 m long moving at the speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in:
a) 6 sec b) 9 sec c) 18 sec d) 27 se
Q3. The distance between two cities A and B is 330 km. A train starts from A at 8a.m. and travels towards B at 60 km/ hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
a) 10am b) 10.30am c) 11am d) 11.30am
Q4. In covering a certain distance, the speeds of A and B are in the ratio of 3: 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is:
a) 1 hour b) 3/2 hours c) 2 hours d) 5/2 hours
Q5. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in meters) is
a) 600 b) 750 c) 1000 d) 1250
Q6. Two men are standing on opposite ends of a bridge of 1200 meters long. If they walk towards each other at the rate of 5 m/minute and 10 m/minute respectively, in how much time will they meet each other?
a) 60 minutes b) 80 minutes c) 85 minutes d) 90 minutes
Q7. I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
a) 9.5 minutes b) 19 minutes c) 18 minutes d) 20 minutes
Q8. The length of a train and that of a platform are equal. if with a speed of 90 km/ hr the train crosses the platform in one minute, then the length of the train ( in meters) is:
a) 500 b) 600 c) 750 d) 900
Q9. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed?
a) 14 hours b) 7 hours c) 8 hours d) 16 hours
Q10. A man can reach a certain place in 30 hours. If he reduces his speed by 1/15th, he goes 10 km less in that time. find his speed per hour.
a) 6km/hr b) 11/2 km/hr c) 4 km/hr d) 5 km/hr
Q11. A thief is noticed by a policeman from a distance of 200m. 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) 100 m b) 190 m c) 200m d) 150m
Q12. A and B start at the same time with speeds of 40km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is:
a) 46 km b) 48km c) 50km d) 52km
Q13. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed?
a) 14 hours b) 7 hours c) 8 hours d) 16 hours
Q14. A man with 3/5 of his usual speed reaches the destination 5/2 hours late. Find his usual time to reach the destination.
a) 4 hours b) 3 hours c) 15/4 hours d) 9/2 hours
Q15. A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is:
a) 20 b) 35 c) 11/3 d) 40
Q16. A moving train, 66 meters long overtakes another train of 88 meters long, moving in the same direction in 0.168 minutes. If the second train is moving at 30 km per hr, at what speed is the first train moving?
a) 85 km/hr b) 50 km/hr c) 55 km/hr d) 25 km/hr
Q17. A student rides on bicycle at 8 km/hour and reaches his school 2.5 minutes late. The next day he increases his speed to 10 km/ hour and reaches school 5 minutes early. How far is the school from his house?
a) 5/8 km b) 8km c) 5 km d) 10 km
Q18. A,B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 second, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they next meet at the starting point again?
a) 46 minutes 12 seconds b) 45 minutes c) 42 minutes 36 seconds d) 26 minutes 18 seconds
Q19. A constable is 114 meters behind a thief. The constable runs 21 meters and the thief 15 meters in a minute. In what time will the constable catch the thief?
a)19 minutes b) 18 minutes c) 17 minutes d) 16 minutes
Q20. Two trains start from stations A and B and travel towards each other at speeds of 50 km/ hour and 60 km/hour respectively. At the time of their meeting, the second train has traveled 120 km more than the first. The distance between A and B is (km):
a) 990 km b) 1200 c) 1320 d) 1440
Q21. A train takes 18 seconds to pass through a platform 162 m long and 15 seconds to pass through another platform 120 m long. The length of the train (in m) is:
a) 70 b) 80 c) 90 d) 105
Q22. A train moves with a speed of 30 kmph for 12 minutes and for next 8 minutes at a speed of 45 kmph. Find the average speed of the train:
a) 37.5 kmph b) 36 kmph c) 48 kmph d) 30 kmph
Q23. A car completes a journey in 10 hours. If it covers half of the journey at 40 kmph and the remaining half at 60 kmph, the distance covered by car is:
a) 400 km b) 480 km c) 380 km d) 300 km
Q24. A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer is
a) 2 min 25 sec b) 2 min 50 sec c) 3 min 20 sec d) 3 min 30 sec
Q25. Two cars start at the same time from one point and move along two roads at right angles to each other. Their speeds are 36 km/hour and 48 km hour respectively. After 15 seconds the distance between them will be
a) 400 m b) 150 m c) 300 m d) 250
Q26. A train passes two persons walking in the same direction at a speed of 3 km/hour and 5 km/ hour respectively in 10 seconds and 11 seconds respectively. The speed of the train is
a) 28 km/hour b) 27km/hour c) 25 km /hour d) 24 km/hour
Q27. In a kilometer race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 meters, the time taken by a to run 1 kilometer is
a) 250 seconds b) 205 seconds c) 200 seconds d) 210 seconds
Q28. Two trains are moving on two parallel tracks but in opposite directions. A person sitting in the train moving at the speed of 80 km/hr passes the second train in 18 seconds. If the length of the second train is 1000 m., its speed is
a) 100 km/hr b) 120 km /hr c) 140 km/hr d) 150 km/hr
Q29. The speeds 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) 4/3 hours b) 2 hours c) 8/3 hours d) 5/3 hours
Q30. A man covers half of his journey at 6 km/hr and the remaining half at 3 km / hr. His average speed is
a) 9 km/hr b) 4.5 km/hr c) 4 km/hr d) 3 km /hr