Question

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

Answer 1

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Answer 2

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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.