For the following questions answer them individually
Pipes A and B can fill a tank in 6 hours and 8 hours respectively and pipe C can empty the full tank in 12 hours. All three pipes are opened together. but pipe A is closed after 3 hours. In how many hours will the remaining part of the tank be filled?
A sum of ₹ 12,800 is invested partly at 15% per annum and the remaining at 12% per annum simple interest. If the total interest at the end of 3 years is ₹ 5,085. then how much money was invested at 15% per annum?
A ladder leaning against a wall makes an angle $$\theta$$ with the horizontal ground such that $$\sin\theta = \frac{12}{13}$$. If the foot of the ladder is 7.5 m from the wall, then what is the height of the point where the top of the ladder touches the wall?
Let $$\triangle ABC\sim\triangle QPR$$ and $$\frac{ar(\triangle ABC)}{ar(\triangle QPR)}=\frac{9}{16}$$. If AB = 12 cm, BC = 6cm and AC = 9 cm, then PR is equal to:
Two pipes A and B can fill an empty tank in 8 hours and 12 hours respectively. They are opened alternately for 1 hour each, starting with pipe A first. In how many hours will the empty tank be filled?
Two numbers are in the ratio 4 : 7. If their HCF is 26. then the sum of these two numbers will be:
A sum of ₹ 18,000 is invested for 16 months at 8% per annum compounded half-yearly. What is the percentage gain at the end of 16 months. to the nearest whole number?