CAT 2018 Question Paper | Quants Slot 1

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This is an interesting question straight out from CAT 2018 Question Paper that is based on Percentages. Do try it yourself before taking a look at the solution with the answer explanation. To check out on an eclectic collection of CAT-level questions from the CAT Previous Year paper, along with detailed video solutions for FREE, visit 2IIM's CAT Question Bank.

Question 19 :In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks, but falls short of the pass mark by 68%. Which one of the following is then correct?

1. N ≤ 200
2. 243 ≤ N ≤ 252
3. N ≥ 253
4. 201 ≤ N ≤ 242

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Percentages

Given Max. mark = N and Pass mark = 45% of N
A scores 36 marks and falls short of the pass mark by 68%
This means the pass mark must be reduced by (100 - 68)% = 32%
So, A scored 32% (45% N) = 36
N = 250 marks
The only option whose range falls within the obtained value is (B) 243 ≤ N ≤ 252

The question is "In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks, but falls short of the pass mark by 68%. Which one of the following is then correct"

Hence, the answer is 243 ≤ N ≤ 252

Choice B is the correct answer.