1. The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/h?
(a) 3 min
(b) 2 min
(c) 2.3 min
(d) 2 min 40 s
2. Four horses are tethered at 4 corners of a square field of side 70 m so that they just cannot reach one another. The area left ungrazed by the horses is
(a) 1050 sq m
(b) 3850 sq m
(c) 950 sq m
(d) 1075 sq m
3. Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio 3 : 5. What is the ratio of their area?
(a) 3 : 5
(b) 9 : 25
(c) 6 : 10
(d) None of these
4. A vertical pole is 75 m high. Find the angle subtended by the pole a point 75 m away from its base
(a) 30°
(b) 45°
(c) 60°
(d) 90°
5. From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high. Find the distance of point P from the foot of the tower
(a) 100 m
(b) 173 m
(c) 200 m
(d) 273 m
6. The ratio of the rates of flow of water in pipes varies inversely as the square of the radius of the pipe. The ratio of the rates of flow in two pipes of diameters 2 cm and 4 cm is
(a) 1 : 2
(b) 2 : 1
(c) 1 : 8
(d) 4 : 1
Note : Answers will be updated soon.............
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