1.If D and E are points on the sides AB and AC respectively of a ∆ABC such that DE ∥ BC. If AD = x, DB = x- 2, AE = x + 2 and EC = x -1, The value of x is:
(1) 2.5
(2) 2
(3) 3
(4) 4
3. Incscribed ∠ACB intercepts AB of circle with centre O. If the bisector of ∠ACB meets are AB in M then:
(1) m AM > m MB
(2) m AM < m MB
(3) m AM = m MB
(4) None of these
4.∆ABC is inscribed in a circle ∠P, ∠Q and ∠R are angles inscribed in the arcs cut off by sides BC,AC and AB respectively. Then ∠P + ∠Q + ∠R is equal to :
(1) 180°
(2) 360°
(3) 240°
(4) None of these
5.The base of a conical tent is 9.2 metres in diameter and the height of its vertex is 2.8 metres. The area of the canvas required to put up such a tent (in square metres) (taking π=22/7) is nearly
(1) 3017.1
(2) 3170
(3) 301.7
(4) 30.17
6.A cone of height 7 cm and base radius 1 cm is carved from a cuboidal block of wood 10 cm × 5 cm × 2 cm. Assuming π = 22/7 . The percentage wood wasted in the process is :
(1) 92 2/3%
(2) 46 1/3%
(3) 53 2/3%
(4) 7 1/3%
7.Three solid metallic balls of radii 3 cm, 4 cm and 5 cm are melted and moulded into a single solid ball. The radius of the new ball is :
(1) 2 cm
(2) 3 cm
(3) 4 cm
(4) 6 cm
10.An electric pole is 10m high. A steel wire tied to the top of the pole is affixed at a point on the ground to keep upright. If the steel wire makes an angle of 45° with the horizontal through the foot of the pole. Here, the length of the steel wire is
(1) 5√2m
(2) 20m
(3) 147m
(4) 10√2m
Note: Answers will be updated soon.............
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