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In a test, 1 mark is awarded for each correct answer while 1/2 mark is deducted for every wrong answer.If a student answered 120 questions and got 90 marks then how many questions did he answered correctly?

Posted by Charvi Sangwan 4 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Divanshu Rawat 4 years, 10 months ago

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 1/2 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 Hence, she answered 100 questions correctly.

Yogita Ingle 4 years, 10 months ago

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 1/2 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

Hence, she answered 100 questions correctly.

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