Q.1
The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there ?
Q.2
Of the two square fields, the area of one is 1 hectare while the other one is broader by 1%. The difference in their areas is :
Q.3
The dimensions of a room are 12.5 metres by 9 metres by 7 metres. There are 2 doors and 4 windows in the room; each door measures 2.5 metres by 1.2 metres and each window 1.5 metres by 1 metre. Find the cost of painting the walls at Rs. 3.50 per square metre.
Q.4
What will be the length of the diagonal of that square plot whose area is equal to the area of a rectangular plot of length 45 metres and breadth 40 metres ?
Q.5
A circular swimming pool is surrounded by a concrete wall 4 ft. wide. If the area of the concrete wall surrounding the pool is $$\frac{{11}}{{25}}$$ that of the pool, then the radius of the pool is :
Q.6
A rectangular garden (60 m × 40 m) is surrounded by a road of width 2 m, the road is covered by tiles and the garden is fenced. If the total expenditure is Rs. 51600 and rate of fencing is Rs. 50 per metre, then the cost of covering 1 sq. m of road by tiles is :
Q.7
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Q.8
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Q.9
The sides of a triangle are consecutive integers. The perimeter of the triangle is 120 cm. Find the length of the greatest side :
Q.10
The area of a rectangle is 252 cm2 and its length and breadth are in the ratio of 9 : 7 respectively. What is its perimeter ?
Q.11
A can go round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, then the time required by A to go round the new path once, travelling at the same speed as before, is :
Q.12
Area of a rectangle is 150 sq. metre. When the breadth of the same rectangle is increased by 2 metres and the length decreased by 5 metres the area of the rectangle decreases by 30 square metres. What is the perimeter of the square whose sides are equal to the length of the rectangle ?
Q.13
Two small circular parks of diameters 16 m and 12 m are to be replaced by a Bigger circular park. What would be the radius of this new park. If the new park has to occupy the same space as the two small parks ?
Q.14
If each side of a square is increased by 10%, its area will be increased by :
Q.15
The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is :
Q.16
The sides of a triangle are in ratio of $$\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$$  . If the perimeter is 52 cm, then the length of the smallest side is :
Q.17
A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is :
Q.18
The diagonal of a rectangle is $$\sqrt {41} $$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be :
Q.19
The breadth of a rectangular field is $$\frac{3}{4}$$ of its length and its area is 300 sq. metres. What will be the area (in sq. metres) of the garden of breath 1.5 metres developed around the field ?
Q.20
The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle :
Q.21
The area of the largest triangle that can be inscribed in a semi-circle of radius r, is :
Q.22
The base of an isosceles is 14 cm and its perimeter is 36 cm. Find its area.
Q.23
If the total surface area of a cube is 864 square cm, find the volume of the cube ?
Q.24
If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is :
Q.25
If the wheel of the engine of a train $$4\frac{2}{7}$$ metres in circumference makes 7 revolutions in 4 seconds, then the speed (in km/hr) of the train is :
Q.26
If the radius of a circle is increased by 75%, then its circumference will increase by :
Q.27
A plate on square base made of brass is of length x cm and width 1 mm. The plate weights 4725 gm. If 1 cubic cm cm of brass weight 8.4 grams, then the value of x is :
Q.28
How many squares with side $$\frac{1}{2}$$ inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide ?
Q.29
If a square of area $$\frac{\text{A}}{2}$$ is cut off from a given square of area A, then the ratio of diagonal of the cut off square to that of the given square is :
Q.30
In order to reach his office on time, Mr. Roy goes through the middle passage of a round fort which he takes 14 minutes to pass through. However, on a certain day, due to repairs, the straight road being blocked, he had to take the roundabout way as a result of which he reached his office late. How late was he ?
0 h : 0 m : 1 s