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mannu420 (0)

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There are n number of railway stations . There are 15 different types of railway tickets  (with no return ticket ). find n .
    
bharant (0)

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n=5
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edison (5135)

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here n is such that
 
n(n+1)/2 = 15 (sum of first n natural numbers)
 
so n2 + n - 30 =0
 
or (n+6)(n-5) = 0
 
n = -6, as n can't be negative, so n = 5
 
thus n = 5 is the solution
 

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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