Find two numbers such that their mean proportion is 12 and third proportion is 768.

What is the slope of the line perpendicular to the line passing through the points (­-4,5) and (3,­-2)?

ΔABC is similar to ΔDEF. Length of AB is 12 cm and length of the corresponding side DE is 8 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF?

The first and last terms of an arithmetic progression are 37 and ­18. If the sum of the series is 114, then it has how many terms?

If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?

Which of the following quadratic equations has equal roots?

Simplify 437bxaz / 23ab.

Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?