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egoism
Definition: (noun) excessive concern with oneself; conceit.
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Math Teaser
Problem
A large soda and a small soda together cost $8.00. If the large soda costs $1.60 more than the small soda, what is the price of the small soda?
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GRE: Quantitative Comparison Question #3

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 The length of rectangle  A  is  5  times the length of rectangle  B.  The width 
 of rectangle  A  is  5  times the width of rectangle  B.

Column A Column B
 Five times the ratio of the 
 length of rectangle  A  to the 
 length of a diagonal of rectangle  B.
 The ratio of the area of rectangle 
A  to the area of rectangle  B.


Choices:
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Choice (B). Picking numbers for the dimensions will make your life easier than using variables. Make the length of rectangle B 4, and its width 3 (thereby including two 3-4-5 triangles where the diagonal of the rectangle is 5). Thus according to the centered information, the length and width of rectangle A will be 20 and 15 respectively, with a diagonal of 25. Column A now works out to be (20:5)5 or 20:1. Column B works out to be 300:12 or 25:1.

 

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