Mathematics Mcqs

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Questions

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1.A person rows 0.75 km upstream in 11 minutes and covers the same distance downstream in 7 minutes. What is the rower's speed in still water in km/h?

2.A boatman travels 2 km upstream against the current in 1 hour and covers 1 km downstream with the current in 10 minutes. How much time will he require to travel 5 km in still water?

3.A man rows at a speed of 9 1/3 km/hr in still water. He notices that rowing upstream takes three times as long as rowing downstream over the same distance. What is the velocity of the river current?

4.A boat takes 3 hours to travel from point B to point A against the current and then return from A to B with the current. Given that the boat's speed in still water is 9 km/h and the current flows at 3 km/h, what is the distance between points A and B?

5.A boat travels at 2 km/hr in still water. If its upstream speed is 1 km/hr, what is the velocity of the current?

6.A boat takes half the time to travel a certain distance downstream compared to upstream. What is the ratio of the boat's speed in still water to the speed of the current?

7.A boatman rows 2 kilometers against the stream in 1 hour and covers 1 kilometer downstream in 10 minutes. How much time will he require to travel 5 kilometers in still water?

8.A man rows at a speed of 7.5 km/h in still water. He notices that rowing downstream takes him twice as long as rowing upstream. What is the speed of the current?

9.A man rows 0.75 kilometers upstream in 11 minutes and 15 seconds, and returns downstream covering the same distance in 7 minutes and 30 seconds. What is his speed in still water?

10.A boat travels 6 km in one hour when there is no current. However, it takes three times longer to cover the same distance going against the current. What is the speed of the current?

11.A boat takes 8 hours and 48 minutes to travel a certain distance upstream and 4 hours to cover the same distance downstream. What is the ratio of the boat's speed to the speed of the current?

12.A man rows his boat in a river and takes 3 hours to cover 3 km against the current or 15 km with the current. What is the velocity of the river's current?

13.A man rows at a speed of 5 km/h in still water. If the river current flows at 1 km/h, and it takes him 75 minutes to row to a destination and return, what is the distance to that destination?

14.A runs at a speed 1 2/3 times faster than B. If A allows B a head start of 80 meters, what should be the distance to the finish line so that both A and B arrive simultaneously?

15.In a 100-meter sprint, runner A finishes 25 meters ahead of runner B, and runner B finishes 4 meters ahead of runner C. By how many meters does runner A beat runner C in the same race?

16.In an 80-point game, player P can give 16 points to player Q, and player R can give 20 points to player P. How many points can player R give to player Q in a 150-point game?

17.If runner X covers 48 meters while runner Y covers 42 meters in the same time, by how many meters will X win in a 1-kilometer race?

18.In a 300-meter race, runner A finishes 22.5 meters ahead of runner B and beats B by 6 seconds. What is the total time taken by runner B to complete the race?

19.In a billiards match, player A can give player B a 20-point advantage in a 60-point game, and A can also give player C a 30-point advantage in the same 60-point game. How many points can B give C in a 100-point game?

20.In a 1000-meter race, A finishes 100 meters ahead of B. In an 800-meter race, B finishes 100 meters ahead of C. How many meters will A win by against C in a 600-meter race?

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