CAT 2017 Question Paper | Quants Slot 1

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Question 9 : The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is:

1. 35
2. 50
3. 60
4. 65

Video Explanation

Explanatory Answer

Method of solving this CAT Question from Percentages

Given that the number of girls appearing for an admission test is twice the number of boys.
Let x be the number of boys and 2x be the number of girls.
We have to find the % of candidates who do not get admission if 30% of the girls and 45% of the boys get admission.
Those who got admission is 1.05x and those who do not get admission is 1.95x.
So, \\frac{1.95x}{3x}) = 65
The percentage of candidates who do not get admission is 65%.

The question is "The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is:"

Hence, the answer is 65

Choice D is the correct answer.