Question

In a competitive exam consisting of 100 questions each correct answer gets 2 marks and each wrong answer gets ‐1 mark. If a student has written 70 correct answers and 30 wrong answers what is his or her score​

Answer 1

Answer:

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

2

1

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.

Answer 2

Answer:

110. . . . . . . . . is correct

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