• Placement Questions

Placement Papers with Solutions

(#M40009185) SELF QUESTION Keep an EYE

The circumference of the Earth is approximately 40,000 kilometres, and someone has just made a metal band that circles the Earth, touching the ground at all locations.

You come along at night, as a practical joke, and add just 10 metres to its length (one hundredth of one kilometer !)

It is now one four-millionth longer, and sits magically just above the ground at all locations

How far has it risen ... could a flea, a rabbit or even a man squeeze underneath it?

Flower (13 years ago)

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(#M40009184) SELF QUESTION Keep an EYE

How much does the baby weigh if the mother weighs 100 pounds more than the combined weight of the baby and the dog, and the dog weighs 60 percent less than the baby?

Flower (13 years ago)

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(#M40009183) SELF QUESTION Keep an EYE

This odd little problem in domestic arithmetic was sprung by the cook upon Mrs. Smith when she wanted to know what the grocer charged for such small eggs.

"I paid twelve cents for the lot," replied Bridget, "but I made him throw in two extra ones, because they were so little, and you see that made them cost one cent a dozen less than his first asking price!"

Tell now how many eggs she received for her twelve cents?

Flower (13 years ago)

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(#M40009182) SELF QUESTION Keep an EYE

The school children were returning to their homes when they met the mathematical milkman, who propounds the following problem:

In one of the two cans there is milk which is so rich with cream that it becomes absolutely necessary to dilute it with a little water to make it wholesome.

Therefore, in the other can there is some pure spring water, now I proceed to pour spring water from can No. 1 into can No. 2 sufficient to double its contents, and then repour from No. 2 into No.1 enough of the mixture to double the contents.

Then to equalize matters, I again pour from No. 1 into No. 2 to double the contents of No. 2 and find the same number of gallons of milk in each can, although there is one more gallon of water in can No. 2 than there is milk, so I want you to tell me how much more water than milk is there in can No. 1?

Flower (13 years ago)

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(#M40009181) SELF QUESTION Keep an EYE

An Arab Sheik, finding himself about to die, called his sons about him and said: "Divide my camels among you in the proportion of one-half of the herd to the eldest son, the second son one-third, and to the youngest son one-ninth."
Thereupon the oldest son cried: "O, my father, one-half, one-third, and one-ninth do not constitute a whole. To whom, therefore, shall the remainder of the herd be given?"

"To any poor man who may be standing by when the division is made," replied the Sheik, who thereupon died.

When the herd was collected a new difficulty arose. The number of the camels could not be divided either by two or three or nine. While the brothers were disputing, a poor but crafty Bedouin, standing by with his camel, exclaimed, "Behold, I will sell you my beast for ten pieces of silver, so that you may then divide the herd."

Seeing that the addition of one camel would solve the difficulty, the brothers jumped at the offer, and proceeded to divide the herd, but when each had received his allotted portion there yet remained one camel.

"I am the poor man standing by." Said the crafty Bedouin, and gaily mounting the camel, he rode away, with the ten pieces of silver in his turban.

Now, how many camels were in the Sheik's herd?

Flower (13 years ago)

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(#M40009180) SELF QUESTION Keep an EYE

The story of four elopements says that four men eloped with their sweethearts, but in carrying out their plan were compelled to cross a stream in a boat which would hold but two persons at a time. It appears that the young men were so extremely jealous that not one of them would permit his prospective bride to remain at any time in the company of any other man or men unless he was also present.

Nor was any man to get into a boat alone, when there happened to be a girl alone on the island or shore, other than the one to whom he was engaged. This feature of the condition looks as if the girls were also jealous and feared that their fellows would run off with the wrong girl if they got a chance. Well, be that as it may, the problem is to guess the quickest way to get the whole party across the river according to the conditions imposed. Let us suppose the island to be in the middle of the stream.

Now, tell how many minimum number of trips would the boat make to get the four couples safely across in accordance with the stipulations?

Flower (13 years ago)

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(#M40009179) SELF QUESTION Keep an EYE

Many years ago, when Barnum's Circus was of a truth "the greatest show on earth" the famous showman got me [Sam Loyd] to prepare for him a series of prize puzzles ... Barnum was particularly pleased with the problem of the cat and dog race ...

"A trained cat and dog run a race, 100 feet straightaway and return. The dog leaps three feet at each bound and the cat but two, but then she makes three leaps to his two. Now, under those circumstances, what are the probabilities or possibilities in favor of the one that gets back first?"

Flower (13 years ago)

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(#M40009178) SELF QUESTION Keep an EYE

An old man goes to a bank with a check of $200 and asks the cahier "Give me some one-dollar bills, ten times as many twos and the balance in fives!".

What will the cashier do?

Flower (13 years ago)

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(#M40009177) SELF QUESTION Keep an EYE

A balloon propelled by some mechanical device travels five miles in ten minutes with the wind, but requires one hour to go back again to the starting point against the wind, how long would it have taken to go the whole ten miles in a calm, without any wind?

Flower (13 years ago)

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(#M40009176) SELF QUESTION Keep an EYE

Here is the original story of the Seignor and the monkey house as told by an eye witness. You see, the organ had seen its best days, and was sadly out of tune, but the Seignor's staying powers were inexhaustible and nothing short of a contribution from each of the tenants would bribe him to cease the eternal grind and move to other quarters.

Now that his audience is ready to capitulate, can you show Jocko the shortest possible route to clamber from window to window with his little tin cup to collect his dues, resting at last on his master's shoulder? The windows are numbered to facilitate a description of the monkey's route.

Flower (13 years ago)

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