• Placement Questions

Placement Papers with Solutions

(#M40009266) SELF QUESTION Keep an EYE

The 10" pizza sells for $ 5.99 at my favorite pizza store. The store claims they have a great deal on the large 14" pizza, which is specially priced at $ 9.98. What is the per cent discount the store is offering?

Flower (13 years ago)

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(#M40009265) SELF QUESTION Keep an EYE

If you were to construct a 5 × 5 checkered square (i.e., a 5 × 5 chess board), how many rectangles would there be in total? You need to include squares too because a square is a special kind of rectangle.

Flower (13 years ago)

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(#M40009264) SELF QUESTION Keep an EYE

It was vacation time, and so I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long.

Now, there were 13 mornings when we did nothing, 17 evenings when we stayed at home, and a total of 14 days when we jogged or played tennis. For how many days did I stay at my cousin's place?

Flower (13 years ago)

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(#M40009263) SELF QUESTION Keep an EYE

Herbert takes the underground train to work and uses an escalator at the railway station. If Herbert runs up 6 steps of the escalator, then it takes him 67.5 seconds to reach the top of the escalator. If he runs up 14 steps of the escalator, then it takes him only 47.5 seconds to reach the top.

How many seconds would it take Herbert to reach the top if he did not run up any steps of the escalator at all?

Flower (13 years ago)

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(#M40009262) SELF QUESTION Keep an EYE

Glenn and Jason each have a collection of tennis balls. Glenn said that if Jason would give him 8 of his balls they would have an equal number; but, if Glenn would give Jason 8 of his balls, Jason would have 3 times as many balls as Glenn. How many balls does Jason have?

Flower (13 years ago)

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(#M40009261) SELF QUESTION Keep an EYE

My Dad has a miniature Pyramid of Egypt. It is 6 inches in height. Dad was invited to display it at an exhibition. Dad felt it was too small and decided to build a scaled-up model of the Pyramid out of material whose density is (1 / 5) times the density of the material used for the miniature. He did a "back-of-the-envelope" calculation to check whether the model would be big enough.

If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will be the scaled-up Pyramid? Give your answer to two places of decimal.

Flower (13 years ago)

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(#M40009260) SELF QUESTION Keep an EYE

How many ways can you put 10 sweets into 3 bags so that each bag contains an odd number of sweets?

Flower (13 years ago)

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(#M40009259) SELF QUESTION Keep an EYE

One of 27 otherwise identical balls is overweight. How can it be identified after 3 weighings with an old balance?

Flower (13 years ago)

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(#M40009258) SELF QUESTION Keep an EYE

One of 9 otherwise identical balls is overweight. How can it be identified after 2 weighings with an old balance?

Flower (13 years ago)

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(#M40009257) SELF QUESTION Keep an EYE

A Queen (78kg), the Prince (36kg) and the King (42kg) are stuck at the top of a tower. A pulley is fixed to the top of the tower. Over the pulley is a rope with a basket on each end. One basket has a 30kg stone in it. The baskets are enough for 2 people or 1 person and the stone. For safety's sake there can't be more than a 6kg difference between the weights of the baskets if someone's inside. How do the people all escape?

Flower (13 years ago)

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