If x = y = 333 and z = 334, then the value of x³ + y³ + z³ – 3xyz is

How many kg of rice costing ₹42 per kg should be mixed with$$7{1\over 2}$$ kg rice costing ₹50 per kg so that by selling the mixture at₹ 53.10 per kg, there is a gain of 18%?

Directions : Study the following pie chart carefully and answer the questions. The pie chart represents the percentage of people involved in various occupations.
Total number of people = 20000

How many more people are involved in service than in trade?

Joseph's income is decreased by 10%, by what percent the new income has to be increased to bring his income back to the previous level?

Two candidates fought an election. One of them got 65% of the total votes casted and won by 420 votes. What is the total number of votes polled if no vote is declared invalid?

If m = – 4, n = – 2, then the value of m³ – 3m² + 3m + 3n + 3n² + n³ is

$$ if \ {1\over x}+x=4,$$ then find $${1\over x^2}+x^2$$

Simplify the following expression.
12 + 2.5 + (1.5 of 4) - 2.6