For the following questions answer them individually
8 men can make 12 chairs in 12 days if they work for 6 hours a day. If 9 chairs are to be make by 12 men in 6 days, then how many hours a day does each one of them need to work?
What will be the compound interest on a sum of ₹4,50,000 at the rate of 10% per annum in 2 years, if interest is compounded annually?
The total surface area of a closed hemisphere is 16632 $$cm^{2}$$. What is the sum of the radius and the diameter of this hemisphere? [Use $$\pi = \frac{22}{7}$$]
In university exams where the total maximum marks were 500, Mohit gets 20% more than Surendra, Surendra gets 20% more than Lalit, and Lalit gets 15% less than Darshan. If Mohit gets 366 marks, what percentage of the full marks does Darshan get? [Give your answer correct to 2 decimal places.]
A 36 cm long, 22 cm broad, and 49 cm high cuboid is melted and moulded into a solid sphere. What will be the radius of this sphere? [Use $$\pi = \frac{22}{7}$$]
Rahul and Shyam, working together, can do a piece of work in 5 hours; Rahul alone can do the same work in 15 hours. How much time will Shyam alone take to do that work?
Abhishek climbs up a hill at a speed of 3 mi/h and comes down at a speed of 5 mi/h. If the total time taken for the two-way journey is 10 hours, then what is the distance between the hilltop and the foothill?
The following bar chart shows the runs scored and the balls played by a batsman in 5 different inning
$$Strike\ rate=\frac{Runs\ scored}{Balls\ played}\times100$$
What is the difference between the strike rates of I2 and I5? [Give your answer correct to 2 decimal places.]
$$\frac{1}{2}$$ of 4 kg of an alloy is lead and the rest of it is tin. $$\frac{1}{6}$$ of 5 kg of another alloy is lead and the rest of it is tin. Find the ratio of lead and tin in the mixture of the given quantities of these two alloys.