In a test of 10 questions,5 marks are awarded for every correct answer and (-1 mark awarded for every incorrect answer. Student A got 5 correct and 5 incorrect answers. student B got 3 correct and 7 incorrect answer find the difference between the marks.
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Step-by-step explanation:
marks awarded for correct =5 marks
marks awarded for incorrect = - 1 marks
total marks = 5 × 10 = 50 marks
case 1
no. of Question correct = 5
marks obtain = 5 × 5 = 25
no. of Question incorrect = 5
marks obtain = 5 × -1 = -5
total marks = 25 - 5 = 20 marks
case 2
no. of Question correct = 3
marks obtain = 5 × 3 = 15
no. of Question incorrect = 7
marks obtain = 7 × -1 = -7
total marks =15 -7 = 8 marks
conclusion
as 20 > 8
so marks of A > marks of B
difference in marks
= Marks of A - marks of B
= 20 - 8
= 12 marks
so the difference between there marks are 12
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