QUESTION: 29

Anne has two containers for water: a rectangular plastic box with a base of 16 square inches, and a cylindrical container with a radius of 2 inches and a height of 9 inches. If the rectangular box is filled with water 9 inches from the bottom, and Anne pours the water into the cylinder without spilling, which of the following will be true?

The cylinder will overflow.
The cylinder will be exactly full.
The cylinder will be filled to an approximate level of 10 inches.
The cylinder will be filled to an approximate level of 8 inches
The cylinder will be filled to an approximate level of 6 inches.

Answer(s): A

Explanation:

The amount of water held in each container must be found. The rectangular box starts with 16 square inches times 9 inches = 144 cubic inches of water. The cylindrical container can hold 3.14(4)(9) cubic inches of water, which is approximately 113 cubic inches. Therefore, the container will overflow.

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QUESTION: 30

Roger, Lucy, Mike, and Samantha are cousins. They all practice unique sports: One enjoys skiing, one enjoys fishing, one enjoys tennis, and one enjoys volleyball.

Use the statements below to answer the question that follows.
I) The cousin who fishes is female.
II) Roger and Lucy hate sports with balls.
III) Samantha is older than the cousin who fishes.

Who likes to fish?

Roger
Mike
Samantha
Lucy
The answer cannot be determined from the information given.

Answer(s): D

Explanation:

This problem can be solved using only statements I and III. Since the cousin who fishes is female, either Lucy or Samantha likes to fish. Statement III eliminates Samantha, which leaves Lucy.

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