GATE CS 2022 Set 1 — Question 7
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.Which one of the following is the correct logical inference based on the information provided in the above passage?
Correct answer
(D) The number of boys who qualified the test is less than the number of girls who qualified
Solution
Let be the total number of candidates who appeared, and be the total number of candidates who qualified.From the given information:
(A) , which is false.
(B) , which is false.
(C) , which is false.
(D) , which is true.Thus, the number of boys who qualified is less than the number of girls who qualified.
1.Boys appeared:
2.Girls appeared: (since )
3.Girls qualified:
4.Boys qualified: (since )
Analyzing the options:(A) , which is false.
(B) , which is false.
(C) , which is false.
(D) , which is true.Thus, the number of boys who qualified is less than the number of girls who qualified.
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