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 50 marks. How many question were there in the test?

Answer 1

Yash scored 40marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer. Had 4marks 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?Let correct question = xAnd incorrect question  = yYash scored 40 marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer.3x -  y = 40Subtract 3x both sides we get-Y = 40 – 3x        Change the sign we getY = 3x – 40 …(1)Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marksWe get4x – 2y = 50Plug the value of y we get4x – 2(3x - 40) =504x – 6x + 80 = 50-2x = - 30X = 15Plug this value back in equation first we getY = 3x – 40Y = 3* 15- 40Y = 45 – 40Y = 5

Answer 2

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

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