Question 1 :
The parallel sides of a trapezium are $77cm$ and $60\ cm$. If its non parallel sides are $25\ cm$ and $26\ cm$. Find its area.

Question 2 :
The circumference of the base of the of a cylinder is 12 m and its height is$\displaystyle \pi $ meters. The volume of the cylinder is

Question 3 :
The ratio between the area of a square of side $a$ and an equilateral triangle of side $a$ is

Question 4 :
The area of the trapezium is 312$\displaystyle cm^{2}$ then the distance between the parallel sides whose lengths are 21 cm and 27 cm respectively is

Question 5 :
The area of rhombus is $216$ sq. cm. If one of its diagonal is $24\ cm$; find length of its other diagonal.

Question 6 :
A cuboidal water tank can hold $60,000$ litres of water. If the length and breadth of the tank are $10\;m\;and\;4\;m$, find its height.

Question 7 :
If each edge of a cube is increased by 50% then the percentage increase in the surface area is

Question 8 :
If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original?

Question 9 :
A variable line $\displaystyle \frac{x}{a}+\frac{y}{b}=1$ is drawn through the point (k, 2k) so as to form a triangle of area A. If a, b are of the same sign then the least value of A is

Question 10 :
The curved surface of a cylindrical pillar is $264 m^{2}$ and its volume is $924\ m^{3}$. Find the ratio of its diameter to its height $\left (Take\ \pi = \dfrac {22}{7}\right )$

Question 11 :
The outer length, breadth and height of a wooden box open at the top are $10$ cm, $8$ cm and $5$ cm respectively. If the thickness of the wood is $1$ cm, the total surface area of the box is

Question 12 :
A cube with  an edge length $4$ is divided into $8$ identical cubes. Calculate the difference between the combined surface area of the $8$ smaller cubes and the surface area of the original cube.

Question 13 :
If the perimeter of an isosceles triangle is $36$ and the altitude to the base is $6$, find the length of the altitude to one of the legs.

Question 14 :
An equilateral triangle is circumscribed, a square is inscribed in a circle of radius r. The area of triangle is T and the area of square is S, then $\dfrac{T}{S}$ is

Question 15 :
A circular hole is filled with concrete to make a footing for a load-bearing pier. The hole measures $17$ inches across and requires$ 1.6$ bags of concrete in order to fill it to ground level. What is the depth of the hole? Round your answer to the nearest inch. (One bag of concrete, when mixed with the appropriate amount of water, makes $1800  {in.}^{3}$ of material).

Question 16 :
When freezing water increase its volume by $\dfrac {1}{11}$. By what part of its volume will ice decrease when melts and turns back into water?

Question 17 :
A sheet is in the form of a rhombus whose diagonals are $10 m$ and $8 m$. The cost of painting both of its surface at the rate of $Rs. 70$ per $\displaystyle m^{2}$ is