If the equation $x^8 - kx^2 + 3 = 0$ has a real solution, then least integral value of $k$ is-
$3$
$2$
$1$
$4$
If $a + 2b + 3c = 6$, then the greatest value of $abc^2$ is (where $a,b,c$ are positive real numbers)
If $a, b, c$ are in $A.P.$ and $a^2, b^2, c^2$ are in $G.P.$ such that $ a < b$ $ < c$ and $a+b+c\,= \frac{3}{4}$ , then the value of $a$ is
If the $A.M.$ is twice the $G.M.$ of the numbers $a$ and $b$, then $a:b$ will be
If $a,\;b,\;c$ are in $G.P.$ and $x,\,y$ are the arithmetic means between $a,\;b$ and $b,\;c$ respectively, then $\frac{a}{x} + \frac{c}{y}$ is equal to
The common difference of an $A.P.$ whose first term is unity and whose second, tenth and thirty fourth terms are in $G.P.$, is