in a examination 5 marks awarded for every correct answer and 3 marks deducted for every wrong answer .Atul scored 35 marks when 10 of his answer were correct. Sudhod answered 8 question correctly and his score was 19 .Find the number of question answered wrongly by both of them?
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Answer:
Given that,
+5 is awarded for each correct answer.
-3 is deducted for each wrong answer.
Atul scored 35 marks; 10 of his answers were correct.
Subodh scored 19 marks; 8 of his answers were correct.
So,
Atul: 10 of his answers were correct. This means: 10*5=50 marks. 15 marks were deducted. -3 were deducted for each wrong answer. So questions answered by Atul incorrectly is= 15/3= 5.
Therefore, we can say 5 questions were answered by Atul wrongly.
Subodh: 8 of his answers were correct. This means: 8*5= 40 marks.He got 19 marks. This means, 40-19= 21 marks were lost by him. As, -3 marks were deducted for each wrong answer. This means, Questions answered by Subodh incorrectly= 21/3= 7.
Therefore, we can say that 7 questions were answered by Subodh wrongly.
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