A businessman purchased some notebooks for ₹960. If he had bought 8 more notebooks for the same amount, the cost of each notebook would have decreased by ₹4. What was the original number of notebooks purchased?

The roots of the equation $x^2 + 18x - 703 = 0$ are given as $a$ and $b$, with $a > b$. The roots of the equation $x^2 - 10x - 336 = 0$ are given as $c$ and $d$, with $c > d$. Which of the options below gives the correct relation between $a$, $b$, $c$, and $d$?

If the equation $(m - 3)x^2 - 2mx + 5m = 0$ has real and positive roots, then the possible value(s) of m lies in:

Regarding the function $f(x)=x^{2}-5 x+1$ and $g(x)=1-x-x^{3}$ on the set of real numbers, which of the following statements is not true?