For the following questions answer them individually
The value of $$\frac{5 - 2 \div 4 \times [5 - (3 - 4)] + 5 \times 4 \div 2  of  4}{4 + 4 \div 8  of  2 \times (8 - 5) \times 2 \div 3 - 8 \div 2  of  8}$$
Aright circular cylinder of maximum possible size is cut out from a solid wooden cube. The remaining material of the cube is what percentage of the original cube? (Take $$\pi$$= 3.14)
A person bought an article at 30% discount on its marked price. The person then sold it at 30% profit for ₹427.70. What was the marked price of the article?
The average of 19 numbers is 22.8. The average of the first ten numbers is 18.4 and that of the last ten numbers is 28.6. If the $$10^{th}$$ number is excluded from the given numbers, then what is the average of the remaining numbers? (Your answer should be nearest to an integer.)
A student was asked to find the value of $$\frac{\left(2 \frac{1}{3} + 2 \frac{1}{2} - \frac{1}{6} \right) \div 2\frac{1}{3} \times 5 \frac{2}{3} \div 1\frac{2}{3}  of 4\frac{1}{4}}{3 \frac{1}{5} \div 4 \frac{1}{2}  of  5 \frac{1}{3} + 5\frac{1}{3} \times \frac{3}{4} \div 2\frac{2}{3}}$$. His answer was $$\frac{6}{7}$$.what is the difference between correct answer and his answer?
A ladder leaning against a window of a house makes an angle of 60° with the ground. Ifthe distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is Closest to:
In $$\triangle$$ ABC, $$\angle C = 90^\circ$$. M and N are the mid-points of sides AB and AC,respectively. CM and BN intersect each other at D and $$\angle BDC = 90^\circ$$. If BC = 8 cm, then the length of BN is:
A train of length 342 m is running at 54 km/h. In how much time(in seconds) will it cross a bridge of length 438 m?
A, B ,And c started a bussiness. A invested $$33\frac{1}{3} \%$$ of the total capital. B invests $$33\frac{1}{3}\%$$ of the remaining capital and c, the remaining.If the total profit at the end of the year was ₹ 20,250 then the profit of c excceds the profit of B by