Question

Yash scored 40 marks in a test getting 3 marks for each right answer and losing 1 mark for each wrong answer at 4 months been awarded for each correct answer and 2 marks be deducted for each incorrect answer then you should have scored 50 marks how many questions are there in the test​

Answer 1

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)

(1) * (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