A solid cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many small cubes have no face coloured?

5 equivalent vertical lines are drawn on a board. 5 equidistant horizontal lines are also drawn on the board cutting the 5 vertical lines and the distance between any two consecutive horizontal lines…

Father is aged 3 times more than his son after 8 years, he would be two and half times of his son's age. after further 7 years, how many times would he be of his son's age?

A man fills a basket with eggs in such a way that the number of eggs added on each successive day is the same as the number already present in the basket. This way the basket gets completely filled i…

A father is five times as old as his son, but after 15 years, he will remain only twice as old as his son. What is the age of the father?

If ω (ω ≠ 1) be a cube root of unity and (ω + 1)^8 = a + bω, then a.b equals