The geometric and harmonic means of two numbers $x_1$ and $x_2$ are $18$ and $16\frac {8}{13}$ respectively. The value of $|x_1 -x_2|$ is
$5$
$10$
$15$
$20$
The minimum value of the sum of real numbers $a^{-5}, a^{-4}, 3 a^{-3}, 1, a^8$ and $a^{10}$ with $a>0$ is
If $a,\;b,\;c$ are the positive integers, then $(a + b)(b + c)(c + a)$ is
Let $a, b, c, d\, \in \, R^+$ and $256\, abcd \geq (a+b+c+d)^4$ and $3a + b + 2c + 5d = 11$ then $a^3 + b + c^2 + 5d$ is equal to :-
If the $A.M., G.M.$ and $H.M.$ between two positive numbers $a$ and $b$ are equal, then
If $a,\;b,\;c$ are in $A.P.$ and $a,\;c - b,\;b - a$ are in $G.P. $ $(a \ne b \ne c)$, then $a:b:c$ is