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Question

Let n1,n2,,nk be all the factors of a positive integer n including 1 and n. If n1+n2++nk=91, then the value of 1n1+1n2++1nk is
(correct answer + 2, wrong answer - 0.50)


A
k291 
loader
B
91k  
loader
C
91n 
loader
D
cannot be determined from the given information
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Solution

The correct option is C 91n 
1n1+1n2++1nk
=1n(nn1+nn2++nnk)
Since n1,n2,,nk are factors of n,
nn1,nn2,,nnk will also be factors of n.

So, nn1+nn2++nnk=91
1n1+1n2++1nk=91n 
 

Mathematics

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