There are 180 multiple choice questions in a test If a candidate gets 4 marksfor every correct answe...

Question

There are 180 multiple choice questions in a test If a candidate gets 4 marksfor 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

Accepted 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

RD Sharma Solutions Class 8 Mathematics Solutions for Linear Equation in One Variable Exercise 9.4 in Chapter 9 - Linear Equation in One Variable