Given: U = {Even numbers between 0 and 30}

P = {Multiples of 6 between 0 and 30}

Q = {Multiples of 4 between 0 and 30}

Find ${{(P\cup Q)}^{c}}$

x varies directly as y² and x = 4, when y = 6. Find the value of y when x =16.

If x +1 is a factor of ${{x}^{3}}+3{{x}^{2}}+mx+4$ find the value of m

Find the value of X in the figure above

In how many ways can the letters of the word ELATION be arranged?

If $y=3\sin (-4x)$ ,$\tfrac{dy}{dx}$ is

Find the length of arc which subtend an angle an angle of 60^oat the centre of a circle whose radius 12cm

If $P=\left( \begin{matrix}   2 & 3  \\   4 & 5  \\\end{matrix} \right)$ and $Q=\left( \begin{matrix}   4 & 2  \\   3 & 3  \\\end{matrix} \right)$

Divide the expression ${{x}^{3}}+7{{x}^{2}}-x-7$ by ${{x}^{2}}-1$

A chord of a circle of radius $\sqrt{6}cm$subtends an angle of 30^oon the circumference of circle. Find the length of the chord

If a student measured the length of a table to be 2.30m instead of 2.50m. What was the percentage error in measuring the length of the table?

Find the median of 5,9,1, 10,3, 8, 9, 9, 2, 4, 5,5, 5,7, 3 and 6

In a right angled triangle, if $\tan \theta =\tfrac{3}{4}$ what is $\cos \theta -\sin \theta $?

Evaluate $\int{\sin 4xdx}$

The binary operation * is defined $x*y=xy-y-x$ for real values of x and y. If $x*3=2*x$, find the value of x

If $y={{x}^{2}}-3x+4$ find $\tfrac{dy}{dx}$ at x = 5

Solve the inequality $(x+4)(x+1)\le 0$

If ${{110001}_{2}}-{{x}_{10}}={{10101}_{2}}$ find x

Evaluate $\int\limits_{0}^{1}{{{(2x+1)}^{2}}dx}$