Topics

81). How many different triangles are there for which the length of the sides are 3.8, and n, where n is an integer and 3 < n < 8 ?
 A). Two B). Three C). Four D). Five
82). The speed of boat A in still water is 2 km/h less than the speed of the boat B in still water. The time taken by boat A to travel a distance of 20km downstream is 30 minutes more than time taken by boat B to travel the same distance downstream. If the speed of the current is $$\Large \frac{1}{3}$$rd of the speed of the boat A in still water, what is the speed of boat B ? (km/h)
 A). 4 B). 6 C). 12 D). 8
83). A boat can travel 12.6 km downstream in 35 minutes. If the speed of the water current is $$\Large \frac{1}{4}$$th the speed of the boat in still water, what distance (in km) can the boat travel upstream in 28 minutes ?
 A). 7 B). 7.5 C). 8.5 D). 6
84). A boat can travel 12.8 km downstream in 32 minutes. If the speed of the water current is $$\Large \frac{1}{5}$$th of the speed of the boat in still water, what distance (in km) the boat can travel upstream 135 minutes?
 A). 27.5 B). 10.2 C). 28.5 D). 36
85). The sides of a quadrilateral are extended to make the angles as shown below. What is the value of x ? A). $$\Large 100^{\circ}$$ B). $$\Large 90^{\circ}$$ C). $$\Large 80^{\circ}$$ D). $$\Large 75^{\circ}$$

86). What is the area of the region in the cartesian plane whose points (x, y) satisfy $$\Large |x| + |y| + |x + y| \leq 2$$ ?
 A). 2.5 B). 3 C). 2 D). 4
87). From a horizontal distance of 50 m, the angles of elevation of the top and the bottom of a vertical cliff face are $$\Large 45^{\circ}$$ and $$\Large 30^{\circ}$$ respectively. The height of the cliff face (in m) is
 A). $$\Large \frac{50}{\sqrt{3}}$$ B). $$\Large \frac{50}{\sqrt{2}}$$ C). $$\Large \frac{50}{2\sqrt{3}}$$ D). $$\Large 50 (1 - \frac{1}{\sqrt{3}})$$
88). If $$\Large G = H + \sqrt{\frac{4}{L}}$$, then L equals
 A). $$\Large \frac{4}{(G - H)^{2}}$$ B). $$\Large 4 (G - H)^{2}$$ C). $$\Large \frac{4}{G^{2} - H^{2}}$$ D). $$\Large 4 (G^{2} - H)^{2}$$
89). If $$\Large \frac{1}{x} = \frac{1}{y} + \frac{1}{z}$$, then z equals
 A). $$\Large \frac{xy}{(x - y)}$$ B). $$\Large x - y$$ C). $$\Large \frac{xy}{(y - x)}$$ D). $$\Large \frac{(x - y)}{xy}$$
90). If (x - 3) (2x + 1) = 0, then possible value of 2x + 1 are -
 A). Only 0 B). 0 and 3 C). $$\Large - \frac{1}{2}$$ and 3 D). 0 and 7
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