Mensuration Practice Questions

Mensuration Practice Questions

1. Water flows into a tank 100 m × 150 m through a rectangular pipe 1.5 m × 1.25 m at a speed of 20 km/h. In what time will the water rise by 2 m?

(a) 96 min         (b) 50 min         (c) 48 min

(d) 75 min         (e) None of these

2. If in a cylinder, both height and radius increase by 100%, by what percent does its volume increase?

(a) 300%           (b) 400%           (c) 450%            (d) 600%

(e)  700%

3. The total area of a circle and a rectangle is equal to 1166 sq cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle, if the length of the rectangle is 25 cm?

(a) 186 cm         (b) 182 cm         (c) 184 cm

(d) Cannot be determined          (e) None of these

4. The circumference of a semi circle of area 1925 sq cm is equal to the breadth of a rectangle. If the length of the rectangle is equal to the perimeter of a square of side 48 cm, what is the perimeter of the rectangle?

(a) 734 cm         (b) 754 cm         (c) 745 cm

(d) Cannot be determined          (e) None of these

5. What is the area of circle whose radius is equal to the side of square whose perimeter is 112 m?

(a) 176 sq m      (b) 2504 sq m   (c) 284 sq m

(d) 1956 sq m   (e) None of these

6. The circumference of two circles is 83 m and 220 m respectively. What is the difference between the area of the larger circle and the smaller circle ?

(a) 3422 sq m                                (b) 3242 sq m

(c) 3244 sq m                                (d) 3424 sq m

(e) None of these

7. The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle if its perimeter is 668 cm?

(a) 24 cm            (b) 26 cm          (c) 52 cm

(d) Can't be determined             (e) None of these      

8. The ratio between the adjacent angles of a parallelogram, are 2 : 3. The smallest angle of a quadrilateral is equal to the half of the smallest angle of a parallelogram. The highest angle of a quadrilateral is 4 times greater than its smallest angle. What is the sum of the highest angle of a quadrilateral and the smallest angles of a parallelogram?

(a) 252°              (b) 226°             (c) 144°              (d) 180°

(e) None of these

9. What would be the cost of building a fence around a school at the rate of Rs 34 per foot ?

(a) Rs 2924       (b) Rs 2682       (c) Rs 2846

(d) Can't be determined             (e) None of these

Answers:

1. c
2. e
3. b
4. e
5. e
6. e
7. b
8. d
9. d