Question Text
Question 2 :
Find the remainder when $x^{3} + 3x^{2} + 3x + 1$ is divided by $x - \dfrac {1}{2}$.
Question 4 :
If $\displaystyle a^{2}+b^{2}+2c^{2}-4a+2c-2ab+5=0$ then the possible value of $a +b - c$ is:
Question 5 :
Simplify: $\displaystyle \frac { 49\left( { x }^{ 4 }-2{ x }^{ 3 }-15{ x }^{ 2 } \right)  }{ 14x\left( x-5 \right)  } $
Question 6 :
A heap of paddy is in the form of a cone whose diameter is $4.3m$ and height is $2.8m$. If the heap is to be covered exactly by a canvas to protect it from rain, then find the area of the canvas needed.
Question 7 :
If the height of a cone is doubled then its volume is increased by
Question 8 :
A metal pipe has an external diameter of 4 cm and internal diameter of 3 cm and is 20 cm long then the volume of the metal used is
Question 9 :
The volume of two spheres is in the ratio $64:27$ and the sum of their radii is $7\,cm$. The difference in their total surface areas is
Question 10 :
If a solid right circular cylinder  made of iron is heated to  increase its radius and height  by $1 \%$. each, then the volume  of the solid is increased by<br/>
