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CAT 2018 Slot 1 QA Question & Solution

AlgebraMedium

Question

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?

Options

$N \leq 200$.
$243 \leq N \leq 252$.
$201 \leq N \leq 242$.
$N \geq 253$.

Solution

Total marks = N
Pass marks = 45% of N = 0.45N
Marks obtained = 36
It is given that, obtained marks is 68% less than that pass marks
=>the obtained marks is 32% of the pass marks.
So, 0.32 * 0.45N = 36
On solving, we get N = 250
Hence, option B is the correct answer.