For the following questions answer them individually
What is the value of $$\frac{84 \div 12 \times 3 - 4 \div 12 \times 9 + 5 \times 6 - 2 \times 3}{8 \div 12 \times 3}$$ ?
The cost price of the two fans is the same. One fan is sold at a loss of 20% and the other fan is sold at a loss of 60%. What will be the overall loss percentage?
Three numbers are in the ratio of 2 : 3 : 5. The sum of these three numbers is 80. What is the product of these three numbers?
The following pie chart shows the sectors representing the shares of the number of lights manufactured in a given year by each of six different factories in terms of the central angles (in degrees) with respect to the total number of lights manufactured in that year by all the six factories taken together.
If the total number of lights manufactured in that year by the 6 factories taken together is 1840, then what is the difference between the numbers of lights manufactured by F5 and F1 ?
The length of a cuboidal room is 56 m, its breadth is 34 m and its height is 8 m. Find the length of the longest ladder that can be placed in the room.
The total surface area of a closed hemisphere is 4158 $$cm^{2}$$. What is the diameter of the hemisphere? [Use $$\pi = \frac{22}{7}$$]
What is the rate of compound interest, if the interest on ₹10,000 for 2 years is ₹609, when interest is compounded annually?
The total surface area of a closed cube is 1350 $$cm^{2}$$. What is the length of each side of this cube?
Due to reduction in workforce, the production in a factory decreases by 30%. By what percentage should the working hours per person be increased to restore the original production? (Correct to two decimal places.)