Question

There are 100 multiple choice questions in a test. 4 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. If Rahul got 160 marks in the test while he answered all questions, then how many questions did he answer Correctly?

Answer 1

The no. of correctly answered questions is 60.

Step-by-step explanation:

Let the no. of correctly answered qns. be X

and no. of incorrectly answered be Y

Total marks of Rahul= 160

4X - 2Y = 160 (1)

Total questions

X + Y = 100 (2)

Substituting (1) & (2)

4X - 2Y = 160

1X + 1Y = 100 ×2

we get

6X = 360

X=60 substituting X in (2)

we get

Y=40