EASY
CAT
IMPORTANT
Earn 100

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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Important Questions on Arithmetic

EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
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.
EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 22
There are two clocks. One of them gains two min in 12 h and another one loses two min in 36 h. Both are set right at 12 noon on Tuesday. What will be the correct time when both of them show the same time for the next time?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 23
A train's journey is disrupted due to an accident on its track after it has travelled 30 km. Its speed then come down to four-fifth of its original, and consequently, it runs 45 min late. Had the accident taken place 18 km farther away, it would have been 36 min late. Find the original speed of the train.
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 24
A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km ?