Simplify:
\(
264 - \left[ 142 - \left\{ 75 + \left( 38 - \left( \frac{5}{4} + \frac{11}{4} \right) \right) \right\} \right]
\)
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:
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?
An inlet pipe can fill an empty tank in 4½ hours while an outlet pipe drains a completely filled tank in \(7\dfrac{1}{5}\) 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?
What is the value of \(
(3^2)^2 + 3 \times 3 \div 3 - 3
\)