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2 .Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes will Q fill the cistern ?
A.7
B.7$1\over2$
C. 8
D.8$1\over4$
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3 .The speeds of two trains are in the ratio 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is –
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4 .Two trains, 80 metres and 120 metres long, are running at the speed of 25 km/hr and 35 km/hr respectively in the same direction on parallel tracks. How many seconds will they takes to pass each other ?
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5 .One man and one woman together can complete a piece of work in 8 days. A man alone can complete the work in 10 days. In how many days can one woman alone complete the work?
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6 .The simple interest on a sum of money is $1\over9$ of the principal and the number of years is equal to the rate perecent per annum.
The rate of interest per annum is –
(A) 1 $1\over9$ %
(B) 2 $2\over3$ %
(C) 3%
(D) 3 $1\over3$ %
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7 .There are 50 students in a class. Their average is 45 kg. When one student leaves the class the average weight reduces by 100 gram. What is the weight of the student who left the class?
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8 .A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in 6 $1\over2$ hours. The speed of the current is –
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9 .If 2 – $cos^2$ 2 θ= 3 sin θ cos θ , sin θ ≠cos θ , then tan θ is –
A. $2\over3$
2. $1\over3$
C. $1\over2$
D. 0
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10 .
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