• Placement Questions

Placement Papers with Solutions

(#M40009215) SELF QUESTION Keep an EYE

You have eight bags, each of them containing 48 coins.

Five of these bags contain only true coins, the rest of them contain fake coins.

Fake coins weigh 1 gram less than the real coins. You do not know what bags have fake coins and what bags have real coins. You can use a scale with precision up to 1 gram. Making only one weighing and using the minimum number of coins, how can you find the bags containing the fake coins?

Flower (13 years ago)

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(#M40009214) SELF QUESTION Keep an EYE

ou have 9 balls, equally big, equally heavy - except for one, which is a little heavier.

How would you identify the heavier ball if you could use a pair of balance scales only twice?

Flower (13 years ago)

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(#M40009213) SELF QUESTION Keep an EYE

You have 10 bags full of coins, in each bag are 1,000 coins.

But one bag is full of forgeries, and you can't remember which one.

But you do know that a genuine coins weigh 1 gram, but forgeries weigh 1.1 grams.

To hide the fact that you can't remember which bag contains forgeries, you plan to go just once to the central weighing machine to get ONE ACCURATE weight.

How can you identify the bag with the forgeries with just one weighing?

And what if you didn't know how many bags contain forgeries?

Flower (13 years ago)

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(#M40009212) SELF QUESTION Keep an EYE

Three out of six look-alike balls are heavy. The other three are light.

How many weighings on a beam balance are necessary to identify the heavy balls?

Flower (13 years ago)

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(#M40009211) SELF QUESTION Keep an EYE

Two trains are 200 km apart, and travelling towards each other at 50 km/hour each.

From one train a fly takes off, flying straight above the rails to the other train at the speed of 75 km/hour, bounces off it and flies back to the first train.

This is repeated till the trains crash together and the fly is smashed (Headline: Fly Dies in Freak Train Crash)

What distance is the fly able to fly until its meet its tragic end?

Note: there is a complicated and an easy way to solve this one.

Flower (13 years ago)

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(#M40009210) SELF QUESTION Keep an EYE

We have two red, two green and two yellow balls.

For each color, one ball is heavy and the other is light.

All heavy balls weigh the same. All light balls weigh the same.

How many weighings on a beam balance are necessary to identify the three heavy balls?

Flower (13 years ago)

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(#M40009209) SELF QUESTION Keep an EYE

A pool has four taps.

The first tap takes two days to fill the pool, the second tap three days, the third four days and the last one only 6 hours.

How long will it take to fill the pool using all 4 taps at once?

Flower (13 years ago)

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(#M40009208) SELF QUESTION Keep an EYE

You intend to fly non-stop around the world.

But you can only go halfway around the world on a full tank.

However you can arrange many planes exactly like yours to assist with refuelling.

Assuming refuelling can be done midair, ignoring refuelling and turning time, and without crashing any plane, what is the minimum number of planes you will need?

Flower (13 years ago)

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(#M40009207) SELF QUESTION Keep an EYE

You have a balance scale with four weights. With these four weights you must balance any whole number load (in ounces) from 1 all the way up to 40.

How much should each of the four weights weigh?

(You may place weights on both sides of the scale at the same time.)

Flower (13 years ago)

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(#M40009206) SELF QUESTION Keep an EYE

You have a balance and the following items of which you know the weights: a small coin weighing 5g, a pen weighing 10g, an eraser weighing 20g, a holepunch weighing 40g, and a stapler weighing 80g.

How many different possible weights can you measure with these items?

Flower (13 years ago)

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