Question

There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct
answer and for every unattempted or wrongly answered question, one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly?

Answer 1

Answer:

• Let the number of correct answers be x Number of questions answered wrong are (180 – x).
• Total score when answered right = 4x Marks deducted when answered wrong = 1(180 – x) = 180 – x
• So,
• 4x – (180 – x) = 450  
• 4x – 180 + x = 450
• 5x = 450 + 180
• 5x = 630
• x = 630/5 = 126 ∴ 126