A tank can be filled by one tap in 20 minutes and by another in 25 minutes. Both the taps are kept open for 5 minutes and then the second tap is turned off. In how many minutes more the tank is completely filled ?

A alone can complete a work in 10 days, B alone can do same work in 12 days and C alone can do the same work in 15 days. They jointly complete the work and earn Rs. 4500. What is the share of C?

If $a+b+c=3, a^{2}+b^{2}+c^{2}=6$ and $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=$ 1 where $a, b$ and $c$ are non-zero numbers, then $a b c=?$

If $x=5+2 \sqrt{6}$, then $\frac{x-1}{\sqrt{x}}$ is equal to :

If $p=3+\frac{1}{\mathrm{p}}$, then the value of $\frac{5 \mathrm{p}}{\mathrm{p}^{2}+\mathrm{p}-1}$ is :

The monthly salary of Mr. Sachdev gets increased by 5%, thereby his salary becomes 15,120 per annum. His earlier monthly salary (before the increase) was

What is the value of cos 105° ? cos 105°

If sinθ – cosθ = 0 and tanθ + cotθ = x, then x is

P, Q and R together can complete a work in 40 days. P and Q together can complete the same work in 90 days. Then R alone can complete the same work in how many days ?

If $\sin \theta+\sin ^{2} \theta+\sin ^{3} \theta=1$, then $\cos ^{6} \theta-4 \cos ^{4} \theta+8$

$\cos ^{2} \theta+4=?$