The mean and median of the data a, b and c are 50 and 35 , where `a lt b lt c` . If `c - a = 55` , then find (b - a) .

If a lt b lt 2a , and the mean and the median of a , b and 2a are 15 and 12 , then find a .

(For the next three questions to follow): The arithmetic mean, geometric mean and median of 06 positive numbers a, a, b, b, c, c where a lt b lt c are 7/3, 2,2 respectively. What is the mode ?

The average of 4 distinct prime numbers a,b,c and d is 35, where a lt b lt c lt d. and d are equidistant from 36 and b and c are equidistant from 34 and a, b are equidistant from 30 and c and d are equidistant from 40. the difference between a and d is :

If a,b,c are real numbers such that 0 lt a lt 1, 0 lt b lt 1, 0 lt c lt 1, a + b + c = 2 , then prove that (a)/(1 - a) (b)/(1 - b) (c )/(1 - c) ge 8 .