Csat---math Questions
#1
Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance . How far is his office ? [ U.P.S.C ( 2012 ) Pre. ]
#2
A train 200 metres long is moving at the rate of 40 kmph In how many seconds will it cross a man standing near the railway line ? [ U.P.S.C ( 2018 ) Pre. ]
#3
Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds ? [ U.P.S.C ( 2018 ) Pre. ]
#4
If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour ? [ U.P.S.C ( 2011 ) Pre. ]
#5
A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. if the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be [ U.P.S.C ( 2013 ) Pre. ]
#6
A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete total journey, what is the original average speed? [ U.P.S.C ( 2013 ) Pre. ]
#7
The tank-full petrol in Arun's motor-cycle lasts for 10 days. If he starts using 25% more everyday, how many days will the tank-full petrol last ? [U.P.S.C ( 2013 ) Pre. ]
#8
A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways? [U.P.S.C ( 2013 ) Pre. ]
#9
A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train? [ U.P.S.C ( 2017 ) Pre. ]
#10
X and Y run a 3 km race along a circular course of length 300 m . Their speeds are in the ratio 3 : 2 . If they start together in the same direction , how many times would the first one pass the other ( the start – off is not counted as passing ) ? [ U.P.S.C ( 2022 ) Pre. ]
#11
A and B walk around a circular park. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other after 8 00 a.m. and before 9.30. a.m. ? [U.P.S.C ( 2016 ) Pre. ]
#12
A car travels from a place X to place Y at an average speed of v km/hr, from Y to X at an average speed of 2v km/hr, again from X to Y at an average speed of 3v km/hr and again from Y to X at an average speed of 4v km/hr . Then the average speed of the car for the entire journey [ U.P.S.C ( 2020 ) Pre. ]
#13
A worker reaches his factory 3 minutes late. his speed from his house to the factory in 5 km/hr. If he walks at a speed of 6 km/hr then he reaches the factory 7 minutes early. The distance of the factory from his house is [U.P.S.C ( 2014 ) Pre. ]
#14
Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time 08 : 10 AM. If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at [U.P.S.C ( 2014 ) Pre. ]
#15
A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. The water of this tank will last for [ U.P.S.C ( 2011 ) Pre. ]
#16
In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food ? [ U.P.S.C ( 2013 ) Pre. ]
#17
In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time ? [U.P.S.C ( 2015 ) Pre. ]
#18
A person X from a place A and another person Y from a place B set out at the same time to walk towards each other . The places are separated by a distance of 15 km . X walks with a uniform speed of 1.5 km/hr and Y walks with a uniform speed of 1 km/hr in the first hour, with a uniform speed of 1.25 km/hr in the second hour and with a uniform speed of 1.5 km/hr in the third hour and so on . Which of the following is/are correct ? [ U.P.S.C ( 2021 ) Pre. ] 1. They take 5 hours to meet . 2. They meet midway between A and B . Select the correct answer using the code given below :
#19
Two cities A and B are 360 km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. What is the average speed of the car ? [U.P.S.C ( 2015 ) Pre. ]
#20
When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometres was the runner supposed to run in this event? [ U.P.S.C ( 2019 ) Pre. ]
#21