. Yash scored 40 marks in a test getting 3 marks
marks for each right answer and losing 1 mark for each wrong answer.
Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then
Yash would have scored 50 marks. How many questions were there in the test?
Suppose 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 subtraction :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.
Hence, 20 questions were there in the test.