Q.1
In a triangle ABC, a line XY is drawn parallel to BC meeting AB in X and AC in Y. The area of the triangle AXY is half of the area of the triangle ABC. XY divides AB in the ratio of :
Q.2
A room 5m × 8 m is to be carpeted leaving a margin of 10 cm from each wall. If the cost of the carpet is Rs. 18 per sq. meter, the cost of carpeting the room will be :
Q.3
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq. mtr, what is the breadth of the rectangular plot ?
Q.4
One of the diagonals of a rhombus is double the other diagonal. Its area is 25 sq. cm. The sum of the diagonal is ?
Q.5
Cost of fencing a circular plot at the rate of Rs. 15 per metre is Rs. 3300. What will be the cost of flooring the plot at the rate of Rs. 100 per square metre ?
Q.6
The circumferences of two circle are 132 metres and 176 metres respectively. What is the difference between the area of the larger circle and the smaller circle ?
Q.7
The ratio of the radii of two circles is 1 : 3. Then the ratio of their areas is :
Q.8
How many metres of carpet 63 cm wide will be required to cover the floor of a room 14 metres by 9 metres ?
Q.9
The circumference of a circular ground is 88 metres. A strip of land, 3 metres wide, inside and along the circumference of the ground is to be levelled. What is the budgeted expenditure if the levelling costs Rs. 7 per square metre ?
Q.10
A coaching institute wants to execute tiling work for one of its teaching halls 60 m long and 40 m wide with a square tile of 0.4 m side. If each tile costs Rs. 5, the total cost of tiles would be :
Q.11
The ratio of the area of a square to that of the square drawn on diagonal is :
Q.12
The area of the four walls of a room is 120 m2 and the length is twice the breadth. If the height of the room is 4 m, then the area of the floor is :
Q.13
The ratio of the circumferences of two circles is 2 : 3. What is the ratio of their areas ?
Q.14
If the circumference of a circle is 100 units, then what will be the length of the arc described by an angle of 20 degrees ?
Q.15
If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is :
Q.16
If radius of a circle is 3 cm, what is the area of the circle in sq. cm ?
Q.17
The three sides of a triangular field are 20 metres, 21 metres and 29 metres long respectively. The area of the field is :
Q.18
The diagonal of a square is $$4\sqrt 2 $$ cm. The diagonal of another square whose area is double that of the first square, is :
Q.19
The base of triangle is 15 cm and height is 12 cm the height of another triangle of double the area having base 20 cm is :
Q.20
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is :
Q.21
A circular road runs around a circular garden. If the difference between the circumference of the outer circle and the inner circle is 44 m, the width of the road is :
Q.22
The area of the greatest circle which can be inscribed in a square whose perimeter is 120 cm, is :
Q.23
Area of a square natural lake is 50 sq. kms. A driver wishing to cross the lake diagonally, will have to swim a distance of :
Q.24
The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm2 . What is the circumference of the circle ?
Q.25
The area of a rectangular field is 2100 sq. meters. If the field is 60 metres long, what is its perimeter ?
Q.26
The ratio of the radii of two circle is 3 : 2. What is the ratio of their circumferences ?
Q.27
A circular grassy plot of land, 42 cm is diameter, has a path 3.5 m wide running around it outside. The cost of gravelling the path at Rs. 4 per square metre is :
Q.28
The total cost of flooring a room at Rs. 8.50 per square metre is Rs. 510. If the length of the room is 8 m, its breadth is :
Q.29
What will be the area of 4 metres high wall on all four sides of a rectangular hall having perimeter 64 m ?
Q.30
The length of a rectangle is three times of its width. If the length of the diagonal is $$8\sqrt {10} $$ cm, then the perimeter of the rectangle is :
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