If p varies inversely as the square of q and p = 8 when q = 4, find q when p = 32

Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x

Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0

The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.

A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?