In an exam every question correctly answered fetches 2 marks. Every question wrongly answered loses 1 marks. unanswered question have no marks associated with them. ram and shyam wrote this exam. ram attempted a certain number of questions and 30 % of them went wrong. shayam attempted a certain number of questions anf 40% of them went wrong. ram got 40 marks more than the pass mark. shyam got 25 marks more than the pass mark. the two of them together attempted a total of 100 questions. What is the pass mark ?

asked by vipul

8 years ago

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1 answer

if the pass mark is p, then if Ram attempted x questions, then Shyam attempted (100-x) questions. So,

2(.7x)-1(.3x) = p+40
2(.6(100-x))-1(.4(100-x)) = p+25

now just solve for p.

answered by Steve

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Question

In an exam every question correctly answered fetches 2 marks. Every question wrongly answered loses 1 marks. unanswered question have no marks associated with them. ram and shyam wrote this exam. ram attempted a certain number of questions and 30 % of them went wrong. shayam attempted a certain number of questions anf 40% of them went wrong. ram got 40 marks more than the pass mark. shyam got 25 marks more than the pass mark. the two of them together attempted a total of 100 questions. What is the pass mark ?

1 answer

if the pass mark is p, then if Ram attempted x questions, then Shyam attempted (100-x) questions. So,

2(.7x)-1(.3x) = p+40
2(.6(100-x))-1(.4(100-x)) = p+25

now just solve for p.

Ask a New Question or answer this question.

Steve · Answer

if the pass mark is p, then if Ram attempted x questions, then Shyam attempted (100-x) questions. So, 2(.7x)-1(.3x) = p+40 2(.6(100-x))-1(.4(100-x)) = p+25 now just solve for p.