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2 .There are 7 pipes attached with a tank out of which some are inlets and some are outlets. Every inlet can fill the tank in 10 hours and every outlet can empty the tank in 15 hours. When all the pipes are opened simultaneously, the tank is filled up in 2$8\over11$ hours. Find the numbers of inlets and outlets
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3 .A tap having diameter 'd' can empty a tank in 40 min. How long another tap having diameter '2d' take to empty the same tank ?
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4 .If the diagonal of a rectangle is double the 8.5 cm and its perimeter is 6 cm more than the 40 cm, then find the area of the rectangle.
A.110 $cm^2$
B.116 $cm^2$
C.120 $cm^2$
D.128 $cm^2$
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5 .
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6 .In a swimming pool measuring 90 m × 40 m, 150 men take a di p. I f the average displacement of water by a men is 8 m 3 , what will be the rise in water level in swimming pool ?
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7 .A cylindrical box of radius 5 cm contains 10 solids spherical balls each of radius 5 cm. If the top most ball touches the upper cover of the box, then volume of the empty space in the box is –
A.$2500\over3$Ï€$cm^2$
B.5000Ï€$cm^2$
C.2500Ï€$cm^2$
D. $5000\over3$Ï€$cm^2$
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8 .A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8 g/cm 3 , then the weight of the pipe (take π = $22\over7$ ) is –
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9 .A radio transmitter antenna of height 100 m stands at the top of a tall building. At a point on the ground, the angle of elevation of top of antenna and bottom of antenna is 60° and 30° respectively. What is the height of the building ?
(A) 100 m
(B) 50 m
(C) 50 ($\sqrt3$ + 1) m
(D) 50($\sqrt3$ - 1)
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10 .
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