In a test consisting of 120 questions, a candidate correctly answers 60% of the first 90 questions. What percentage of the remaining questions does he need to answer correctly so that his answers to 55% of the total questions in the test are correct?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 40.
Total questions = 120
First 90 questions: 60% correct = 0.6 × 90 = 54 correct
Let the required correct answers in the remaining 30 questions = x
Total correct needed = 55% of 120 = 66
So,
54 + x = 66
⇒ x = 12
% of remaining (30) he must answer correctly = × 100 = 40%