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Question:  A and B write a test
A says " i got a third of the ques. wrong"
B says " i got 5 wrong"
together they got three quarters of the questions correct.
how many did a get correct.




November 11, 2006 13:23:29 #5
 Purvi mehta   Member Since: Visitor    Total Comments: N/A 

RE: A and B write a testA says " i got a third o...
 

Let the total number of questions be 'x'. Then for A the total correct ans is n(A)=n-n(A)'i.e. x-(1/3).Similarly for B the total correct ans is x-5.Now total correct ans by A & B is 3/4.So by de morgans law n(AUB)=n(A)+n(B)-n(A^B).i.e.x=(x-1/3)+(x-5)-(3/4). So,x=(2x-73/12). So,x= 73/12. So  substituting the value in 1 equation A got 205/36 ans correct.

ans:-205/36

     

 

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