For the following questions answer them individually
In a certain rectangle, the ratio of length to width of the rectangle is 3 : 2 and the area is 150 $$cm^{2}$$. The perimeter of the rectangle is:
Mukesh took some loan from a bank at the rate of 5% per annum compounded annually. If he cleared his loan by paying ₹7,05,600 at the end of 2 years, then what was the amount of loan that he had taken?
A motor-cycle covers 50 km with a speed of 25 km/hr. What must be the speed of the motor-cycle for the next 50 km journey so that the average speed of the whole journey is 30 km/hr?
If A is the average of first 5 natural numbers and B is the average of first 5 natural numbers which are perfect squares, then what is the average of A and B?
A sum of money is lent out at compound interest rate of 20% per annum, compounding annually for two years. It would fetch ₹3,133 more interest, if interest is compounding half yearly. Find the sum.
20 men can finish a piece of work in 5 days, whereas it takes 24 women to finish it in 5 days. If 30 men and 12 women undertake to complete the work, how many days will they take to complete it?
The diameter and height of a cylindrical tower are 10 m and 21m, respectively. What will be the cost of painting its curved surface, at the rate of Rs.8 per $$m^{2}$$?
(Use $$\pi = \frac{22}{7}$$)
The Rajdhani train travels in a straight line at a constant speed of 75 km/h for a particular distance ‘d’ and then travels another distance equal to ‘2d’ at a constant speed of 100 km/h in the same direction as earlier. Find the average speed of the train during the whole journey?
In a school, the ratio of boys to girls is 7 : 11. If there are 3420 students in the school, then how many girls are there in the school? (There are only boys and girls in the school.)
If the radius of the base and the height of a cylinder are 11cm and 21 cm respectively, then what is the volume of the cylinder? (Use $$\pi = \frac{22}{7}$$)