Question

Yash scored 40 marks in an exam getting 3 marks for each correct answer and loosing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for every incorrect answer. YAsh would have scored 50 marks. How many question were 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

Answer 2

Answer:

Step-by-step explanation:

Solution:-

Let number of correct answers be x

And the number of incorrect answers be y.

According to the Question,

⇒ 3x - y = 40 … (i)

⇒ 4x - 2y = 50 … (ii)

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

⇒ 6x - 2y = 80 … (iii)

Subtracting (ii) from (iii), we get,

⇒ x = 15

Putting x's value in Eq (i), we get

⇒ y = 5

Total number of questions = 15 + 5 = 20

Hence, 20 question were there in the test.