• Placement Questions

Placement Papers with Solutions

(#M40152066) BOOK QUESTION bicycle race Keep an EYE

Two cyclists race on a circular track. Brown can ride once round the track in six minutes, and Robinson in four minutes. In how many minutes will Robinson overtake Brown?

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(#M40152065) BOOK QUESTION out and home Keep an EYE

Colonel Crackham says that his friend, Mr. Wilkinson, walks from his country house into the neighboring town at the rate of five miles per hour, and, because he is a little tired, he makes the return journey at the rate of three miles per hour. The double journey takes him exactly seven hours. Can you tell the distance from his house to the town?

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(#M40152064) BOOK QUESTION how far was it Keep an EYE

"The steamer," remarked one of our officers home from the East, "was able to go twenty miles an hour downstream, but could only do fifteen miles an hour upstream. So, of course, she took five hours longer in coming up than in going down." One could not resist working out mentally the distance from point to point. What was it?

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(#M40152063) BOOK QUESTION the question of transport Keep an EYE

Twelve soldiers had to get to a place twenty miles distant with the quickest possible dispatch, and all had to arrive at exactly the same time. They requisitioned the services of a man with a small car. "I can do twenty miles an hour," he said, "but I cannot carry more than four men at a time. At what rate can you walk?" "All of us can do a steady four miles an hour," they replied. "Very well," exclaimed the driver, "then I will go ahead with four men, drop them somewhere on the road to walk, then return and pick up four more (who will be somewhere on the road), drop them also, and return for the last four. So all you have to do is to keep walking while you are on your feet, and I will do the res t." They started at noon. What was the exact time that they all arrived together?

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(#M40152062) BOOK QUESTION the bus ride Keep an EYE

George treated his best girl to a bus ride, but on account of his limited resources it was necessary that they should walk back. Now, if the bus goes at the rate of nine miles an hour and they walk at the rate of three miles an hour, how far can they ride so that they may be back in eight hours?

Asked In Book viswambher (10 years ago)

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(#M40152061) BOOK QUESTION the fly and the cars Keep an EYE

A road is 300 miles long. A car, A, starts at noon from one end and goes throughout at 50 miles an hour, and at the same time another car, B, going uniformly at 100 miles an hour, starts from the other end together with a fly travelling 150 miles an hour. When the fly meets car A, it immediately turns and flies towards B. (1) When does the fly meet B? The fly then turns towards A and continues flying backwards and forwards between A and B. (2) When will the fly be crushed between the two cars if they collide and it does not get out of the way?

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(#M40152060) BOOK QUESTION the three cars Keep an EYE

Three cars travelling along a road in the same direction are, at a certain moment, in the following positions in relation to one another. Andrews is a certain distance behind Brooks, and Carter is twice that distance in front of Brooks. Each car travels at its own uniform rate of speed, with the result that Andrews passes Brooks in seven minutes, and passes Carter five minutes later. In how many minutes after Andrews would Brooks pass Carter?
86

Asked In Book viswambher (10 years ago)

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(#M40151897) BOOK QUESTION unrewarded labour Keep an EYE

A man persuaded Weary Willie, with some difficulty, to try to work on a job for thirty days at eight dollars a day, on the condition that he would forfeit ten dollars a day for every day that he idled. At the end of the month neither owed the other anything, which entirely convinced Willie of the folly of labor. Can you tell just how many days' work he put in and on how many days he idled?

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(#M40151896) BOOK QUESTION buying buns Keep an EYE

Buns were being sold at three prices: one for a penny, two for a penny, and three for a penny. Some children (there were as many boys as girls) were given seven pennies to spend on these buns, each child to receive exactly the same value in buns. Assuming that all buns remained whole, how many buns, and of what types, did each child receive?

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(#M40151894) BOOKS QUESTION generous gifts Keep an EYE

A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked, "If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, instead of there being fewer there were actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less." How much did each person receive at that last distribution?

Asked In books viswambher (10 years ago)

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