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?

CAT 2018 Question Paper | CAT Verbal Ability Slot 1

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?

Started 1 month ago by Shashank in

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A.
N ≤ 200
B.
243 ≤ N ≤ 252
C.
N ≥ 253
D.
201 ≤ N ≤ 242

Option B is the correct answer.

Explanatory Answer

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