Recent activity by Ninja004

Let $a, b, c$ be non-zero real numbers such that $b^{2}<4 a c$, and $f(x)=a x^{2}+b x+c$. If the set $S$ consists of all integers $m$ such that $f(m)<0$, then the set $S$...

Anil mixes cocoa with sugar in the ratio $3: 2$ to prepare mixture $A$, and coffee with sugar in the ratio $7: 3$ to prepare mixture $B$. He combines mixtures $A$ and $B$...

The population of a town in $2020$ was $100000$. The population decreased by $y \%$ from the year $2020$ to $2021$, and increased by $x \%$ from the year $2021$ to $2022$...

The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is

In a company, $20 \%$ of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total sal...

Ravi is driving at a speed of $40 \mathrm{~km} / \mathrm{h}$ on a road. Vijay is $54$ meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along...

Pipes $\mathrm{A}$ and $\mathrm{C}$ are fill pipes while Pipe $\mathrm{B}$ is a drain pipe of a tank. Pipe $\mathrm{B}$ empties the full tank in one hour less than the ti...

For some positive real number $x$, if $\log _{\sqrt{3}}(x)+\frac{\log _{x}(25)}{\log _{x}(0.008)}=\frac{16}{3}$, then the value of $\log _{3}\left(3 x^{2}\right)$ is

Let $k$ be the largest integer such that the equation $(x-1)^{2}+2 k x+11=0$ has no real roots. If $y$ is a positive real number, then the least possible value of $\frac{...

Answer the following question based on the information given below.The figures below present annual growth rate, expressed as the $\%$ change relative to the previous yea...