If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x³ +y³ + z³ -3xyz will be 

In an exam, 3 marks are scored on the correct solution, but 2 marks are deducted on the wrong solution. If a student scores 75 questions and gets 75 marks, the correct answer is the number of questions.

For what value of ‘y’, $$ {x^{2}+{1\over12}{x}+y^{2}}$$ is perfect square?

The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle?

A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?

A trader sold two items at the same price. One at 20% profit and another at 10% loss. The overall profit / loss percentage of the trader is ________

A shopkeeper bought 25 kg. of pulses at the rate of Rs. 54 kg. He sold forty percent of the total quantity at the rate of Rs. 50 per kg. at what price per kg should he sell the approximately quantity to make 25% overall profit ?

Directions: Following is the pie-chart showing the spending of a family on various items in a particular year

Study the pie chart and answer questions

If the difference in the amount spent for buying clothes and house maintenance was ₹ 1,500, how much they spent for house maintenance?