# Geeta scored 40 marks in a test, getting three marks for each right answer and losing one mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Geeta would have scored 50 marks. How many questions were there in the test? What lesson can be got from these situations?

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by ankitkumar0102

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2014-06-30T11:10:58+05:30

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Let the no of correct answer be x and no of wrong answer be y than a/q 3x-1y = 40 ........(1). and 4x -2y = 50 => 2x -y =25 .......(2). Subtracting equation 1 and 2 we get x = 15 putting this value of x in equ 1 we get 3*15 - y = 40 => y= 5 total questions = 20