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

Question 17 Linear Equation in One Variable Exercise 9.4

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?

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

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