Question

In an examination paper, one mark is awarded for
every correct answer while 1/4 mark is deducted
for every wrong answer. A student answered 120
questions and got 90 marks. How many questions
did he answer correctly?​

Answer 1

Answer:

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Answer 2

Let x be the number of correct answers and y be the number of wrong answers.

Since Jayanti answered 120 questions therefore, x+y=120 that is

x=120−y..........(1)

Also, it is given that one mark is awarded for each correct answer while 21​ mark is deducted for every wrong answer and Jayanti got 90 marks, therefore,

x−0.5y=90..........(2)

Substituting the value of equation 1 in equation 2:

120−y−0.5y=90

−1.5y=−30

y=20

Therefore,

x=120−20=100