Question

If a be the arithmetic mean and b,c be the two geometric means between any two positive numbers, then (b³ + c³) /abc equals 

(a) (ab)^1/2/c 

(b) 1 

(c) a²c/b 

(d) None of these

Answer 1

Correct option (d) None of these    

Explanation: 

Solve by taking values and checking with the options. If we take the numbers as 1 and 8, we would get a = 4.5 and b and c as 2 and 4 respectively. Then (b³ + c³)/abc =2. None of the first three options gives us a value equal to 2.