Q.1
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per square metre.
Q.2
If the circumference of a circle is increased by 20%, what will be the effect on the circle ?
Q.3
The ratio of circumference and diameter of a circle is 22 : 7. If the circumference be $$1\frac{4}{7}$$ m, then the radius of the circle is :
Q.4
The perimeter of a square and a regular hexagon are equal. The ratio of the area of the hexagon to the area of the square is :
Q.5
The perimeter of a rectangular field is 480 metres and the ratio between the length and the breadth is 5 : 3. The area is :
Q.6
The area of a grassy plot is 480 sq. m. If each side had been 5 m longer, the area would have been increased by 245 sq. m. Find the length of the fence to surround it.
Q.7
A hall, whose length is 16 m and the breadth is twice its height, takes 168 m of paper with 2 m as its width to cover its four walls. The area of the floor is :
Q.8
If an equilateral triangle of area X and a square of area Y have the same perimeter, then X is :
Q.9
A hall 50 m long and 45 m broad is to be paved with square tiles. Find the largest tile as well as its number in the given options so that the tiles exactly fit in the hall :
Q.10
A circular pond has area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present ?
Q.11
A rectangular farm has to be fenced on one long side, one short side and the diagonal. If the cost of fencing is Rs. 100 per m, the area of the farm is 1200 m2 and the short side is 30 m long, how much would the job cost ?
Q.12
Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is :
Q.13
The area of a circle is increased by 22 sq. cm if its radius is increased by 1 cm. The original radius of the circle is :
Q.14
The length of a rectangular blackboard is 8 m more than its breadth. If its length is increased by 7 m and its breadth is decreased by 4 m, its area remains unchanged. The length and breadth of the rectangular blackboard is :
Q.15
A rectangular lawn 80 metres by 60 metres has two roads each 10 m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at Rs. 30 per square metre.
Q.16
Three plots having areas 110, 130 and 190 square metres are to be subdivided into flower beds of equal size. If the breadth of a bed is 2 metres, the maximum length of a bed van be :
Q.17
If the radius of a circle is increased by 200%, then its area will increase by :
Q.18
The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is :
Q.19
If the area of the trapezium whose parallel sides are 6 cm and 10 cm is 32 sq. cm, then the distance between the parallel sides is :
Q.20
The radius of a circle is 20% more than the height of a right-angled triangle. The base of the triangle is 36 cm. If the area of triangle and circle be equal, what will be area of circle ?
Q.21
If the sides of a square be double find the increase of percentage in area :
Q.22
The circumference of a circle is 10% more than the perimeter of a square. If the difference between the area of the circle and that of the square is 216 cm2, how much does the diagonal of the square measure ?
Q.23
A piece of wire when bent to from a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is :
Q.24
The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is :
Q.25
The ratio of the outer and the inner perimeters of a circular path is 23 : 22. If the path is 5 metres wide, the diameter of the inner circle is :
Q.26
A carpenter is designing a table. The table will be in the form of a rectangle whose length is 4 feet more than its width. How long should the table be if the carpenter wants the area of the table to be 45 sq. ft ?
Q.27
The circumference of a circle is 100 cm. The side of a square inscribed in the circle is :
Q.28
ABCD is a rectangle and E and F are the mid-points of AD and DC respectively. Then the ratio of the areas of EDF and AEFC would be :
Q.29
A circle is circumscribed around a square as shown in the figure. The area of one of the four shaded portions is equal to $$\frac{4}{7}$$. The radius of the circle is :
Area mcq question image
Q.30
The area of a rhombus with side 13 cm and one diagonal 10 cm will be :
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