The fifth term of AP is 24, and eleventh term is 96. Find the first term

The shaded area that gives the solution set for the inequalities $x+y\le 3,x-y\le 3$, is

Solve the quadratic inequality ${{x}^{2}}-5x+6\ge 0$

Find the range of value of x which satisfy the inequality $4x-7\le 3x\text{ and }3x-4\le 4x$

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

If x – 3 is directly proportional to the square of y and x = 5 when y = 2, find x when y = 6

Factorize completely ${{(4x+3y)}^{2}}-{{(3x-2y)}^{2}}$

If $2{{x}^{2}}-kx-12$is divisible by $x-4$, find the value of k

Make Q the subject of the formula, when $L=\frac{4}{3}M\sqrt{PQ}$

A bookseller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books, how many customers has he altogether?