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Admission Percentage of Candidates

CAT 2017 Slot 1 · Quantitative Ability · Easy · Percentages

This is an easy Quantitative Ability question from the CAT 2017 Slot 1 paper. It tests Percentages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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

  1. A.

    35

  2. B.

    50

  3. C.

    60

  4. D.

    65

Answer

D

Explanation

Let number of boys = 100, then number of girls = 200. Total candidates = 300. Girls getting admission = 30%30\% of 200=60200 = 60. Boys getting admission = 45%45\% of 100=45100 = 45. Total admitted = 105105. Total not admitted = 300−105=195300 - 105 = 195. Percentage not admitted = 195300×100=65%\frac{195}{300} \times 100 = 65\%.

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