Question

There are $90$ multiple choice questions in a test. Suppose you get two marks for every correct answer and for every question you leave 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 many questions did you answer correctly?

• A. $40$
• B. $60$
• C. $50$
• D. $48$

Answer 1

The correct option is C $50$

Let the number of questions answered correctly by ${}^{\prime }{x}^{\prime }$

$\therefore$ The number of questions answered correctly=$90-x$

Total Marks obtained$=60$

Marks obtained for correct answer$=22$

Marks deducted for wrong answer=$-1(90-2)=x-90$

$\therefore 2x+2-90=60$

$\Rightarrow$$3x=150$

$\Rightarrow$$x=\frac{150}{3}$

$\Rightarrow$$x=50$

Therefore the number of question answered correctly is 50