For the following questions answer them individually
The distance between two towns is covered in 7 hours and 30 minutes at the speed of 72 km/h. The time saved if the speed is increased by 25% is:
Simplify:
$$264 - \left[142 - \left\{75 + (38 - \left(\frac{5}{4} + \frac{11}{4}\right))\right\}\right]$$.
The chart shows the population of seven districts of National Capital Territory of Delhi.
If the total population of the seven districts is 150 crore find the total population of A and D.
Rice worth 126 per kg and ₹135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the mixture is worth ₹153 per kg, then the price of the third variety per kg (in ₹) is:
While baking a cake for 15 people, Jaya used 2.4 kg of flour. How much flour will she need to bake a similar cake for 36 people?
A person borrowed some money on simple interest. After 4 years, he returned. $$\frac{9}{5}$$ of the money to the lender. What was the rate of interest?
A policeman chasing a thief is 0.5 km behind the thief. The speed of thief is 80% of the speed of the policeman and policeman catches him in 12 minutes. What is the speed of the thief (in km/h)?
An inlet pipe can fill an empty tank in $$4\frac{1}{2}$$ hours while an outlet pipe drains a completely filled tank in $$7\frac{1}{5}$$ hours. The tank is initially empty, and the two pipes are alternately opened for an hour each, till the tank is completely filled, starting with the inlet pipe. In how many hours will the tank be completely filled?
If $$\triangle ABC$$ is right angled at B, AB = 12 cm and $$\angle CAB = 60^{\circ}$$, determine the length of BC.