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 A natural number is chosen at random from the first 100 natural numbers. The probability that x+100x>50 is 

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a
1/10
b
11/50
c
11/20
d
None of these

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detailed solution

Correct option is C

We have,x+100x>50or  x2+100>50xor  (x−25)2>525⇒x−25<525 or x−25>525⇒x<25−525 or 25+525 As x is a positive integer and 525=22.91, we must have x≤2 or x≥48. Thus, the favorable number of cases is 2+53==55 Hence, the required probability is 55/100=11/20.


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