For the following questions answer them individually
The value of $$\frac{\sqrt[3]{-2744}\times\sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}}$$ is:
If $$x = \frac{2\sin \theta}{(1+\cos \theta + \sin \theta)}$$, then the value of $$\frac{1-\cos \theta + \sin \theta}{(1+\sin \theta)}$$ is:
A number, when divided by 15 and 18 every time, leaves 3 as a remainder, the least possible number is:
Marks scored by a student in different subjects are given in the table below
Five marks are to be deducted from each subject due to shortage of attendance. The net average of the mean, median and mode of the marks obtained is _________________.
Simplify the following.
$$81^{\frac{3}{4}}+\left[(20\div5 of 3 \times 6) + \left\{(8 \div 24 of 3) \times 4\right\} -10\div 5\right] - \left(\frac{1}{32}\right)^{-\frac{2}{5}}$$
The following table shows the number of students of seven colleges participating in extra co-curricular
activities.
Read the table and answer the question given.
Percentage of the number of students in activity II to that of IV is: (consider up to two decimals)
Determine the total surface area of a hemisphere closed at bottom. Radius of the hemisphere is $$\sqrt{25}{\pi}$$ unit.
The ratio between the height and radius of the base of a cylinder is 7 : 5. If its volume is 14836.5 $$cm^{3}$$, then find its total surface area (take π = 3.14).