Official Guide Explanation:
Data Sufficiency #34




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Solution and Metadata

Question: 34
Page: 275
Difficulty: 5 (Moderate)
Category 1: Geometry > Rectangular Solids and Cylinders > Cylinders
Category 2: Word Problems > Geometry Problems >

Explanation: The height of the cans is the same as the height of the carton, so that dimension is irrelevant. To find the number of circles that fit in a 48 centimeter by 32 centimeter rectangle, you need some measurement pertaining to the circles, such as radius.

Statement (1) offers that: given the radius, you can figure out how many of the cans fit in the given rectangle. Statement (2) is also sufficient: if six of the cans fit along the length (of 48), that means that each can has a "length" (in the case of a circle, a diameter) of (48/6) = 8, or a radius of 4. Thus, the correct choice is (D).

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