Question

Yash scored 40 marks in a test, getting 3 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 32 marks. How many questions were there in the test?​

Answer 1

Answer:

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

(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

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Answer 2

Answer:

$\huge{\mathcal{\underline{\green{Answer}}}}$

Let 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 substraction : 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