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 questions were there in the test?
Answers
Answer: 20 questions
Step-by-step explanation: Let the no. of questions correctly attempted be x
and the no. of questions wrongly attempted be y
so,
case 1
3x - 1y = 40
case 2
4x - 2y = 50
2x - y =25
now on subtracting case 1 from 2 we get,
3x - 2x - y +y = 40 - 25
x = 15
putting in case 1 we get,
y = 5
total question= x + y
20 questions
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