A certain list consists of 11 different numbers. If n is in the list and n is 5 times the average (arithmetic mean) of the other 10 numbers in the list, then n is what fraction of the sum of the 11 numbers in the list?
Options.
A) 1/3 B) 2/5 C) 1/4 D) 3/5 E) 1/6
series : a1, a2....a10,n   sum of a1+a2+...+a10 = 10*x (x = average)   so, n = 5*x   Hence, a1+a2+..+a10+n = 15x   So, the fraction asked = 5x/15x = 1/3   1/3nswer is 1/3
<result>A</result>
A certain list consists of 11 different numbers. If n is in the list and n is 5 times the average (arithmetic mean) of the other 10 numbers in the list, then n is what fraction of the sum of the 11 numbers in the list?