imhimanshu wrote:

Hi

Request you to please post your reasoning on the below question:

A math teacher has 30 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles.

a) 9

b) 10

c) 11

d) 12

e)13

Squares are both rectangles and rhombuses. Circles are neither rectangles, nor rhombuses.

There are 15 rectangles and 10 rhombuses.

Using a Venn diagram or a 2 X 2 table, we can deduce that the maximum number of cards that re circles is 30 - (15 + 10 - 8) = 13.

Answer: E

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PhD in Applied Mathematics

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