1.  A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? 
a.  1/3 
b.  1/4 
c.  1/5 
d.  1/7 
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Answer: (c).1/5

2.  Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be: 
a.  Rs. 169.50 
b.  Rs. 170 
c.  Rs. 175.50 
d.  Rs. 180 
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Answer: (c).Rs. 175.50

3.  A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially? 
a.  10 
b.  20 
c.  21 
d.  25 
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Answer: (c).21

4.  A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? 
a.  4 litres, 8 litres 
b.  6 litres, 6 litres 
c.  5 litres, 7 litres 
d.  7 litres, 5 litres 
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Answer: (b).6 litres, 6 litres

5.  In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg? 
a.  3 : 7 
b.  5 : 7 
c.  7 : 3 
d.  7 : 5 
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Answer: (c).7 : 3
