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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 Ã¢â‚¬â€œ

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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 Ã¢â‚¬â€œ

(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 Ã¢â‚¬â€œ

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9 .If 2 Ã¢â‚¬â€œ $cos^2$ 2 ÃŽÂ¸= 3 sin ÃŽÂ¸ cos ÃŽÂ¸ , sin ÃŽÂ¸ Ã¢â€°Â cos ÃŽÂ¸ , then tan ÃŽÂ¸ is Ã¢â‚¬â€œ

A. $2\over3$

2. $1\over3$

C. $1\over2$

D. 0

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10 .

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