Question

there are 90 multiple choice questions in a test. 2 marks are awarded for every correct answer and 1 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?
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Answer 1

Answer:

he attempt all the questions

she gave correct answer of 50 questions then she got 100

she gave wrong answer of 40 questions the she got = -40

so = 100-40

= 60

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.