Question

There are 90 multiple choice questions in a test. Two marks are awarded for
every correct answer and one mark is deducted for every wrong answer. If
Sahana got 60 marks in the test while she answered all the questions, then how
many questions did she answer correctly?​

Answer 1

Step-by-step explanation:

Sahana give 50 questions right answer

and 40 questions wrong answer.

because (50×2=100-40=60)

(50questions × 2marks each = 100mark)

(100marks - 40wrong answers = 60mark)

So the answer is 50 right

Answer 2

Answer:

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Suppose the no. of correctly answered questions be 'x', then no. of wrongly answer questions = 90-x.

It is given that for every correct answer 2 mrks are answered.

No. of marks scored for correct answers:- 2x

And it is given that for every wrongly answered questions '1' mark is deducted.

No. of marks to be deducted from the score =

= (90x - x) × 1 = 90 - x

Total score = 2x-(90-x) = 2x - 90 + x = 3x - 90

But it is given that total score is 60.

$3x - 90 = 60 \\ 3x = 60 + 90 \\ 3x = 150 \\ x = \frac{150}{3} = 50$

No. of questions answered Crctly = x = 50.