There are 180 multiple choice questions in a test. If a candidate gets

1.	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» 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 questions he answered correctly.

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»

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 questions he answered correctly.