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?

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Solution

Let the number of right answers and wrong answers be and respectively.

According to the question,

3x - y = 40 ... (i)

4x - 2y = 50

$\Rightarrow$ 2x - y = 25 ... (ii)

Subtracting equation (ii) from equation (i), we get x = 15 ... (iii)
Putting this value in equation (ii), we get

30 - y = 25

y = 5

Therefore, number of right answers = 15

Number of wrong answers = 5

Total number of questions = 20

Suggest Corrections

202

Similar questions

Pinky 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 were deducted for each wrong answer, then Pinky again would have scored 40 marks. How many questions were there in the test?

Q. 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?

State true or false:
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, Yash would have scored 50 marks. Then the total number of questions in the test was 25. (Assuming Yash attempted all questions)

Q. Question 4 (iii)
Form the pair of linear equations for the following problem and find their solution (if they exist) by any algebraic method:
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?
Assume Yash answered all the questions.

Herman scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of wrong answers is 1 less than his number of correct answers, then how many questions did he answer correctly?

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