For the following questions answer them individually
(N+18) persons, each working for 7.5 hours a day, can complete 48% of a work in 20 days. (N+12) persons can complete the remaining work in 30 days, if each of them works for 6.5 hours per day. Determine the value of N.
If Mohit can complete $$\frac{2^{rd}}{3}$$ of work in 24 days, then in how many days can $$\frac{1^{th}}{9}$$ of the work be completed by him?
If ($$x + \frac{1}{x} = 2\sqrt{2}$$), $$x > 1$$ what is the value of ($$x^{6} - \frac{1}{x^{6}}$$)?
If $$\frac{\sin x - \cos x}{\sin x + \cos x} = \frac{2}{5}$$, then the value of $$\frac{1 + \cot^{2} x}{1 - \cot^{2} x}$$ is:
Study the given pie-chart and answer the question that follows.
The pie-chart displays the percentage of fruits sold (in kg) by a fruit seller in one month.
If the total fruits sold by a fruit seller in one month was 50,000 kg. Find the approximate difference of the quantity (in kg) of pomegranates and that of berries.
Simplify the given expression.
$$\frac{432 \times 432 + 247 \times + 247 - 432 \times 247}{432 \times 432 \times 432 + 247 \times 247 \times 247}$$
On day one, with speed v, R covers a distance x, in t time. On the next day, he covers a distance 2.5x in 0.75t time. What is his speed the next day?