A) 1/10
B) 11/50
C) 11/20
D) none of these
Correct Answer: D
Solution :
[d] We have, \[x+\frac{100}{x}>50\] Or \[{{x}^{2}}+100>50x\] Or \[{{(x-25)}^{2}}>525\] \[\Rightarrow x-25<\sqrt{525}\] or \[x-25>\sqrt{525}\] \[\Rightarrow x<25-\sqrt{525}\] or \[25+\sqrt{525}\] As x is a positive integer and\[\sqrt{525}=22.91\], we must have \[x\le 2\] or \[x\ge 48.\]Thus, the favorable number of cases is 2+53=55. Hence, the required probability is 55/100=11/20.
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