Question 1 :
The difference between the radii of the smaller circle and the bigger circle is $7 cm$ and the difference between the areas of the two circles is $1078$ sq cm. What is the radius of the smaller circle in cm?

Question 2 :
An equilateral triangle and a square have equal perimeters. If side of the triangle is $9.6\ cm$; what is the length of the side of the square ?

Question 3 :
A regular hexagon of maximum possible area is cut off from an equilateral triangle. The ratio of area of triangle to the area of hexagon will be

Question 4 :
The volume of a right cone is 924$\displaystyle m^{2}$ and its height is 18 m then lateral surface area is<br>

Question 5 :
The ratio of the radius of two sphere is 3 : 2 Then the ratio of their surface area is <br>

Question 6 :
State whether statement is true or falseThe expression given below is an algebraic expression.<br/>$96$

Question 7 :
if $\,x = 3 + 2\sqrt 2 ,\,$ then find the vlaue of$\,{x^{\dfrac{1}{2}}}\, - {x^{\dfrac{1}{2}}}$

Question 9 :
State whether given statement is true or false:The expression&#160;x+1&#160;is an algebraic expression

Question 10 :
The value of $4x^2+ 12x + 9$, if $x = -2$ is

Question 11 :
If $x^{2} + 2 = 2x$, then the value of $x^{4} - x^{3} + x^{2} + 2$ is

Question 12 :
State whether statement is true or falseThe expression given below is an algebraic expression.<br/>$4p^2-5q^2$

Question 13 :
If $ x=1 ; y=2$, find the value of the following expression.<br/>$ 4x-3y+5$&#160;

Question 16 :
A rectangle DEFGis plotted in XY plane.The co-ordinates of D ,E ,F and G are $(2,2)$ ,$(9,2)$ , $(9,10)$ and $(2,10)$. Find the new co-ordinates of F when DEFG is rotated $270$ <br> $^o$ around origin.

Question 17 :
The image of the line $2x - y = 2$ in the line $x + y = 0$ is

Question 19 :
&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;&#10;<p class="MsoNormal">Statement- 1 :</p>&#10;&#10;<p class="MsoNormal">The point&#10;${A}(1,0,7)$ is the mirror image of the point ${B}(1,6,3)$ in the line&#10;$\displaystyle \dfrac{{x}}{1}=\dfrac{{y}-1}{2}=\dfrac{{z}-2}{3}$</p>&#10;&#10;<p class="MsoNormal">Statement-2:</p>&#10;&#10;<p class="MsoNormal">The line:&#10;$\displaystyle \dfrac{{x}}{1}=\dfrac{{y}-1}{2}=\dfrac{{z}-2}{3}$ bisects the&#10;line segment joining ${A}(1,0,7)$ and ${B}(1,6,3)$.</p>&#10;&#10;

Question 20 :
A line $y=x$ is rotated through $45^o$ . Find the new angle made by line with X axis.

Question 26 :
If&#160;$\displaystyle x^{x\sqrt{x}}=\left ( x\sqrt{x} \right )^{x}$, then x is equal to

Question 27 :
If $x$ is a positive integer satisfying $x^7=k$ and $x^9=m$, which of the following must be equal to $x^{11}$?<br>

Question 28 :
If $2^{x + 3} \cdot 4^{2x - 5} = 2^{3x - 7}$, then the value of $x$ is

Question 30 :
$\left [5 \{ \left(\frac{1}{8}\right) ^{\frac{-1}{3}} + \left(\frac{1}{27}\right) ^{\frac{-1}{3}}\} \right ] ^{\frac{1}{2}}$

Question 33 :
If $z=\alpha\sin\theta+\beta\cos\theta$, where $\alpha$ and $\beta$ are positive constants. The maximum value of $z$ is

Question 34 :
State TRUE or FALSE$\displaystyle [1 - (1 - (1&#160;- n)^{-1})^{-1}]^{-1}$, then the answer is n<br/>

Question 35 :
If the surds $\sqrt{3}$, $\sqrt[4]{6}$,$\sqrt[8]{12}$ and$\sqrt[16]{24}$ are written in descending order, then the arrangement is