**Q)**Jaya scored 40 marks in a test getting 3 marks for each correct answer and losing 1 mark for each incorrect answer., Had 4 marks being awarded for each correct answer and 2 marks were deducted for each incorrect answer then Jaya again would have scored 40 marks. How many questions were there in the Test?

**Ans: **Let x be the number of questions answered correctly and y be the number of questions answered wrongly, Therefore, total no. of questions = x + y

From given information, we get 3x – y = 40………… (i)

and 4x – 2y = 40 ……………. (ii)

Solving equations (i) and (ii), we get

x = 20, y = 20

Therefore total no. of questions = x + y = **40**