A can finish a work in $18$ days and B can do the same work in $15$ days. B worked for $10$ days and left the job. In how many days, A alone can finish the remaining work?

If $p-2q=4$, then value of $p^3-8q^3-24pq-64$ is:

If $\theta +\varphi =\frac{2\mathrm{\pi }}{3}$ and $\cos \theta =\frac{\sqrt{3}}{2}$, then what is the value of $\sin \varphi ?$

Which of the following successive discounts is better to a customer?

(a) $20\%, 15\%, 10\%$

(b) $25\%, 12\%, 8\%$

The degree measure of $1$ radian (take$\pi =\frac{22}{7}$) is?

If $\frac{\left(p^2+q^2\right)}{\left(r^2+s^2\right)}=\frac{\left(pq\right)}{\left(rs\right)}$, then what is the value of $\frac{\left(p-q\right)}{\left(p+q\right)}$ in terms of $r$ and $s$?

If $\Delta ABC$ is similar to $\Delta DEF$ such that $BC=3cm$, $EF=4 cm$ and area of $\Delta ABC=54c{m}^2$, then the area of $\Delta DEF$ is: