1 The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 7500 sq. m, the cost of fencing the field @ 25 paise per metre is : A) Rs. 55.50 B) Rs. 67.50 C) Rs. 86.50 D) Rs. 87.50
2 A courtyard 25 m long and 16 m broad is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is : A) 18000 B) 20000 C) 25000 D) None of these
3 A rectangular carpet has an area of 120 sq. metres and a perimeter of 46 metres. The length of its diagonal is : A) 15m B) 16m C) 17m D) 20m
4 The length of a blackboard is 8 cm more than its breadth. If the length is increased by 7 cm and breadth is decreased by 4 cm, the area remains the same. The length and breadth of the blackboard (in cm) will be : A) 28, 20 B) 34, 26 C) 40, 32 D) 56, 48
5 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 ? A) 42.5 metres B) 60 metres C) 75 metres D) Data inadequate
6 If the area of a square increases by 69%, then the side of the square increases by : A) 13% B) 30% C) 39% D) 69%
7 The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by : A) 35% B) 42% C) 62% D) 82%
8 The difference of the areas of two squared drawn on two line segments of different lengths is 32 sq. cm. Find the length of the greater line segment if one is longer than the other by 2 cm. A) 7cm B) 9cm C) 11cm D) 16cm
9 The ratio of height of a room to its semi-pcrimeter is 2 : 5. It costs Rs. 260 to paper the walls of the room with paper 50 cm wide at Rs. 2 per metre allowing an area of 15 sq. m for doors and windows. The height of the room is : A) 2.6 m B) 3.9 m C) 4 m D) 4.2 m
10 The area of a right-angled triangle is 40 times its base. What is its height ? A) 45 cm B) 60 cm C) 80 cm D) Data inadequate E) None of these
11 A circular ground whose diameter is 35 metres, has a 1.4 m broad garden around it. What is the area of the garden in square metres ? A) 160.16 B) 176.16 C) 196.16 D) Data inadequate E) None of these
12 The areas of two concentric circles forming a ring are 154 sq. cm and 616 sq. cm. The breadth of the ring is : A) 7cm B) 14cm C) 21cm D) 28cm
13 What will be the area of a semi-circle of 14 m diameter ? A) 22 m^2 B) 77 m^2 C) 154 m^2 D) 308 m^2 E) None of these
14 There are 4 semi-circular gardens on each side of a square-shaped pond with each side 21m. The cost of fencing the entire plot at the rate of Rs 12.50 per metre is : A) Rs. 1560 B) Rs. 1650 C) Rs. 3120 D) Rs. 3300
15 If the radius of a circle is increased by 75%, then its circumference will increase by : A) 25% B) 50% C) 75% D) 100%