GRE Sample Test 2 Quantitative Reasoning 2

Question : 19 of 20

Marks: +1, -0

A candy jar has 4 lime, 10 cherry, 8 orange, and x grape candies. If Tom selects a candy from the jar at random and the probability that he selects an orange candy is greater than 20 percent, which of the following could be the value of x ?
Indicate all such values

Validate

Solution:

Plug In the Answers. Start with one of the middle values, such as (C). If there are 18 grape candies, then there are 40 total candies in the jar. The probability of selecting an orange candy is

8/{40}

, or 20 percent.
The question states that the probability of selecting an orange candy is greater than 20 percent, so (C) cannot work. Values larger than 18 also do not work because when the denominator becomes larger than 40, the probability becomes less than 20 percent. The only choices that could work are (A) and (B).

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