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 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
4 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
5 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
6 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
7 A towel, when bleached, was found to have lost 20% of its_length and 10% of its breadth. The percentage of decrease in areajs : A) 10% B) 10.08% C) 20% D) 28%
8 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
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 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%
11 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
12 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
13 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
14 An equilateral triangle, a square and a circle have equal perimeters. If $T$, denotes the area of the triangle, $S$, the area of the square and $C$, the area of the circle, then : A) $S<T<C$ B) $T<C<S$ C) $T<S<C$ D) $C>S>T$
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%