GRE Sample Test 2 Quantitative Reasoning 2

Question : 18 of 20

Marks: +1, -0

One-fourth of the cars that an automobile manufacturer produces are sports cars, and the rest are sedans. If one-fifth of the cars that the manufacturer produces are red and one-third of the sports cars are red, then what fraction of the sedans is red?

Your Answer:

Validate

Solution:

Plugging In is a great way to tackle this question. Multiply the denominators of

1/4 , 1/5

and

1/3

together to get 60, which will be an easy number with which to work. Make the total number of cars 60. 60 ×

1/4

= 15 sports cars, and 60 − 15 = 45 sedans. The number of red cars is 60 × = 12. The number of red sports cars is 15 ×

1/3

= 5, which means that there are 12 − 5 = 7 red sedans. The fraction of the sedans that are red is

7/{45}=0.15

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