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Earn 100

A car goes 20 miles on a gallon of gas driving at 60 miles/h. If the car is driven at 75 miles/h, it goes as far as 70%. How many gallons of gas will be required to travel 210 miles/h.

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Important Questions on Arithmetic

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 10
Rakesh and Siddharth row on a river simultaneously from the same point. Rakesh rows downstream and Siddharth rows upstream. In 15 min, they are 2.25 km apart.Rakesh then turns to follow Siddharth and after 30 min  from the beginning, the boats have rowed together 3.5 km. If the speeds of Rakesh and Siddharth and the stream are constant at how many km/ hours does the streamflow?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 13

A 200 m long train passes a 350 m long platform in 5 s. If a man is walking at a speed of 4 m/s along the track and the train is 100 m away from him, how much time will it take to reach the man?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 14
A man waiting at a point P has to reach point Q at some distance from P. He is considering three plans of action.

A. Wait at P itself and catch the first taxi going towards Q.

B. Start walking towards Q and catch the first taxi going towards Q.

C. Start walking away from Q and catch the first taxi going towards Q.

He walks at a constant rate of 5 km/h and taxi travel at a constant rate of 50 km/h. The arrival time of the taxi is totally random. Which of the following statement is then true? (Assume that he is the only person who is looking for a taxi on that road.)
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 15
Three cockroaches John, Mac, and Roe decide to take a race from one corner of the room to the diagonally opposite corner of the room. John can fly, Mac can walk and Roe can walk only along the edges. If all of them reach the destination at the same time by taking the smaller paths, what is the ratio of the speeds of John, Mac, and Roe assuming that the room is cubical in shape?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 16
Four men start to move from a particular point. Two of them go in the direction opposite to each other at an equal speed. The other two also move in the opposite directions at an equal speed, but in a direction that is perpendicular to that of the original two. All of them stop at the same time, if the final positions of the men are joined, then it forms.
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 17
Saket runs twice on a circular track at a uniform speed. Bidhan starts at the same time as Saket and after Bidhan has completed one lap, he stops and Sunny starts and completes the second lap at a uniform speed. It is given that they start the race exactly at 2:30 pm and the track is 500 m in circumference. Sunny runs at a speed of 5 km/h greater than that of Bidhan and Saket's speed is 2 km/h greater than that of Bidhan. When does Saket finish the second lap if Sunny also finishes at the same time?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 18
Two persons A and B are running between two points P and Q to and from infinitely. A is starting from P and B is starting from Q. They meet for the first time at 0.6 D  from point P, where D is the distance between the points AB. At how many distinct points, will they meet till their 10th meeting?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 21
Two rabbits A and B are running a race in which they have to go up to 50 m mark and then come back to the starting point. A runs in a sequence of three jumps in which the distance traveled in the first one is twice that of the other two and B runs in a sequence of three jumps in which the distance traveled in the first jump are 1.5 that of the distance traveled in the second jump and distance traveled in the second jump is twice the distance traveled in the third jump. Distance traveled by A in two jumps and by B in three jumps equal to 6 m. In the second race, they interchange their individual sequence of jumps. Who will win the first and the second match if on completing the 50 m mark they turn back and start from the first jump?