Question

A students scored 28 marks in a test getting 4 marks for each right answer and losing 1 mark for each wrong answer. Had 5 marks been
awarded for each correct answer and 2 marks been deducted for each incorrect answer, then he would have scored 32 marks. What is the
total number of questions in the test?

Answer 1

Answer:

Let x be the number of right answers and y be the number of wrong answers.

∴ According to the question ,

3x−y=40⟶(i)

and , 2x−y=25⟶(ii)

On substraction : x=15

putting the value of x in ⟶(i)

3(15)−y=40

y=5

∴ Number of right answers=15 answers

Number of wrong answers=5 answers.

Total Number of questions 5+15=20

Answer 2

Answer:

Here's your answer. I hope it helps.