Latest Elitmus Aptitude Question SOLUTION: In a certain examination paper, there are n questions. For j=1,2....n there are 2^(n-1) students with answer j or more questions wrongly. If total number of wrong answers is 4095 t

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In a certain examination paper, there are n questions. For j=1,2....n there are 2^(n-1) students with answer j or more questions wrongly. If total number of wrong answers is 4095 then the value of n is.......?

Asked In Elitmus Ravi Bhardwaj (9 years ago)

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santosh kr. thakur  (9 years ago)

Let us say there are only 3 questions. Thus there are 2^(3-1)=4 students who have done 1 or more questions wrongly, 2^(3-2)=2 students who have done 2 or more questions wrongly, 2^(3-3)=1 student who had done all three questions wrongly.
Total no. of wrong answer=4+2+1=7=2^3 -1=2^n -1

In our question, Total no. of wrong answer=4095=2^12 -1
then n=12.
Answer, total no. of questions=12

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ramyakolipaka  (9 years ago)

2^(n)-1=4095
2^n=4096
2^n=2^12
therefore n=12

Is this solution Helpfull? Yes (5) | No (4)  

akash verma  (9 years ago)

ans is 11 i think .....

Is this solution Helpfull? Yes | No (1)  

ramyakolipaka  (9 years ago)

n=12
I think 2^(n)-1

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MONALISHA MALIK  (9 years ago)

2^(n-1)=4095
2^n=4096
so n=12

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