In an examination, the maximum possible score is N

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

Answer

Candidate got 36 marks but falls short of pass marks by 68%.

Maximum possible score is N.

Pass mark = 45% of N

32% of 45% of N = 36

32/100 × 45/100 × N = 36

N = 250

The correct option is B.