If x – y + z = 15, xyz = -216 and xz – xy – yz = 18, then the value of $$ {x^3}-{y^3}+{z^3}=$$

A and B together can complete a work in 21 days. If A takes 42 days to complete the work alone, how many days will B take to complete the same work alone?

The following pie chart shows the sectors representing the shares of the number of electric buses manufactured in each of 7 different colours in a given year in terms of the central angles (in degrees) with respect to the total number of buses manufactured during that year of all the 7 colours taken together.

What is the difference in the percentage shares of buses of C4 and C6? [Give your answer correct to 2 decimal places.]

What will be the acute angle between hands of a clock at 2 : 30?

A sum of money at simple interest amount to Rs.4800 in 3 years and Rs.5600 in the 5 years. The sum is

The perimeter of a right-angled triangle is 60 cm, and its hypotenuse is 26 cm. Find its area? 

A and B together can do a piece of work in 12 days, A and C together can do the same work in 15 days. If B and C together can do the same work in 20 days, then in how many days A, B and C together can complete the same work?

If a^2x+2=1, where a is a positive real number other than 1, then x is equal to