There are 90 multiple choice questions in a test. Suppose you get two marks for every correct answer and for every question you leaver unattempted or answer wrongly, one mark is deducted from your total score of correct answers. If you get 60 marks in the test, then how may questions did you answer correctly?

Explanation

Total number of questions`=90`
Let the number of correctly answered questions be `x`.
The number of incorrectly answered questions`=90-x`
Marks for correct answer`=2x`
Marks of incorrect answer`=-1(90-x)=-90+x`
According to the given question,
`2x-90+x=60`
`3x=60+90`
`3x=150`
`x=50`
`therefore`The number of correctly answered questions`=50.