Question

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 marks 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?​

Answer 1

Answer:

Total number of questions in the test = 20

Step-by-step explanation:

Let number of correct answers be x and number of incorrect answers be y.

As per given conditions,

3x - y = 40 … (1)

4x - 2y = 50 … (2)

6x - 2y = 80 … (3)

Subtracting (2) from (3), we get,

2x = 30 x = 15

y = 3x - 40 = 45 - 40 = 5

Total number of questions in the test = 15 + 5 = 20