• Placement Questions

Placement Papers with Solutions

(#M40009175) SELF QUESTION Keep an EYE

Charlie and Freddie, having sent their lingerie consisting of thirty pieces to the wash, Freddie calls for the same and explains that as his bundle contains half of the cuffs and but one-third of the collars, it should cost but twenty-seven cents.

As four cuffs cost the same as five colllars, the laundryman wants to know how much he must charge Charlie for the other package.

Flower (13 years ago)

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(#M40009174) SELF QUESTION Keep an EYE

Charley Smalleash treats his best girl to a trolley ride, but on account of his limited resources they plan to walk back, so, if the car goes at the rate of nine miles an hour and they can walk at the rate of three miles an hour, how far could they ride if they must be back in eight hours?

Flower (13 years ago)

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(#M40009173) SELF QUESTION Keep an EYE

A gypsy queen who ekes out a precarious existence by gathering quarters from gullible victims who want the future revealed, laments the decline of the fortune-telling industry as follows:

"The week before last I earned less than three dollars, last week only a third as much and this week somewhat less than half as much as the week before".

How much did she earn in three weeks?

Flower (13 years ago)

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(#M40009172) SELF QUESTION Keep an EYE

Bluebeard explains that his bunch of keys was strung upon an endless key ring and divided into three groups so that the first group multiplied by the second equaled the third!

That was the secret by which he knew whether the keys had been tampered with and forbidden chambers had been entered.

You see that 6910 multiplied by 7 does not amount to 83452, so the keys were not replaced properly in their groups.

Can our clever puzzlists show how the keys must have been arranged in three groups so that the first group multiplied by the second makes the third?

Flower (13 years ago)

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(#M40009171) SELF QUESTION Keep an EYE

The clown after juggling with the five triangular pieces of cardboard to attract attention proceeds to cut one of them into two pieces.

He then lays the six pieces upon the top of the box and shows that they will fit together and form a perfect square.

The pieces represent five right-angled triangles, say one inch high by two inches on the base, so you can readily cut five similar pieces from paper and then guess how to cut one of them so that the six pieces will form a perfect square.

Flower (13 years ago)

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(#M40009170) SELF QUESTION Keep an EYE

Here is a pretty puzzle from Mother Goose's story of Jack and Jill's race for a pail of water.

The distance to the top of the hill was 440 yards, which is just a quarter of a mile.

Jack got to the top first and was 20 yards on the return trip when he met Jill whom he beat home by half a minute.

The record of the race is complicated by the runners being able to run down hill one-half again faster than they ran up, so you are asked to figure out Jack's time for the half mile run.

Flower (13 years ago)

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(#M40009169) SELF QUESTION Keep an EYE

Big Jim, engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles farther on, the train would have arrived forty minutes sooner".

How long was the run between stations?

Flower (13 years ago)

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(#M40009168) SELF QUESTION Keep an EYE

Aesop tells how a father and son failing to ride their donkey in a way to please the public, finally decided to carry the beast.
They had not gone far, however, when they met the village schoolmaster, who explained that as the man was stronger than the boy, and the donkey weighed 220lbs., they should adjust the position of the weight so that the man should carry 125 pounds and the boy but 95.

Where should the weight be hung if the distance from shoulder to shoulder was four feet?

Flower (13 years ago)

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(#M40009167) SELF QUESTION Keep an EYE

Here is an odd little puzzle-game from the East:

One of the Chinese girls writes sixteen letters on a slate in four rows, as shown, and after marking a straight dash, which connects A to B, passes the slate to her opponent, who connects E with A.

If the first player should now connect E with F the other player would connect B with F and score "one box", and have the right to play again.

But they have played so well that neither one has yet scored a box, although each has played six times, but the game is reaching a critical point where one of them must win, for there are no draws (for there are nine boxes altogether in this play) as in other games.

The little maiden sitting down has to play now, and if she connects M and N her opponent would score four boxes in one run, and then having the right to one more play would connect H and L, which would win all the rest.

What play would you now advise, and how many boxes will it win against the best possible play of the second player?

Flower (13 years ago)

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(#M40009166) SELF QUESTION Keep an EYE

In the Battle of Hastings that occurred on October 14, 1066 Harold's forces formed 13 similar squares with exactly same number of soldiers in each square.

When Harold himself joined the fray and was added to the number of his soldiers in those thirteen squares a single huge square could be arranged. How many men there must have been in Harold's force?

Flower (13 years ago)

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