1 A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ? A) 55 B) 56 C) 57 D) 58
2 The length of a rectangular plot is 60% more than its breadth. If the difference between the length and the breadth of that rectangle is 24 cm, what is the area of that rectangle ? A) 2400 sq. cm B) 2480 sq. cm C) 2560 sq. cm D) Data inadequate
3 The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 minutes, then the area of the park (in sq. m) is : A) 15360 B) 153600 C) 30720 D) 307200
4 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
5 A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares ? A) 225 B) 280 C) 300 D) 315
6 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
7 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 : A) 5m B) 12m C) 13m D) 14.5m
8 If the perimeters of a square and a rectangle are the same, then the area A and B enclosed by them would satisfy the condition : A) A < B B) A <= B C) A > B D) A => B
9 The ratio of the area of a square to that of the square drawn on its diagonal, is : A) 1:2 B) 2:3 C) 3:4 D) 4:5
10 If the ratio of areas of two squares is 225 : 256, then the ratio of their perimeters is : A) 225 : 256 B) 256 : 225 C) 15 : 16 D) 16 : 15
11 If each side of a square is increased by 50%, the ratio of the area of the resulting square to that of the given square is : A) 4 : 5 B) 5:4 C) 4:9 D) 9:4
12 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%
13 The dimensions of a room are 10 m x 7 m x 5 m. There are 2 doors and 3 windows in the roorrf. The dimensions of the doors are 1 m x 3 m. One window is of size 2 m x 1.5 m and the other two windows are of size 1 m x 1.5 m. The cost of painting the walls at Rs. 3 per m^2 is : A) Rs. 474 B) Rs. 578.50 C) Rs. 684 D) Rs. 894
14 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
15 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
