1.There are two vessels A and B. Vessel A is containing 40 litres of pure milk and vessel B is containing 22 litre of pure water. From vessel A, 8 litre of milk is taken out and poured into vessel B. Then 6 litres of mixture (milk and water) is taken out and from vessel B poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B?
(a)14 : 9
(b) 21 : 11
(c)24 : 13
(d) 14 : 5
2.A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be :
(a) 5 : 7
(b) 5 : 9
(c) 7 : 5
(d) 9 : 5
3.In a laboratory, two bottles contain mixture of acid and water in the ratio 2 : 5 in the first bottle and 7 : 3 in the second. The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2 : 3 is
(a) 4 : 15
(b) 9 : 8
(c) 21 : 8
(d) 1 : 2
4.A mixture contains 80% acid and rest is water. Part of the mixture that should be removed and replaced by same amount of water to make the ratio of acid and water
4 : 3 is
(a) 1/3 rd
(b) 3/7 th
(c) 2/3 rd
(d) 2/7 th
5.Arvind purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of 11 per kg. He mixed the two. At what price per kg should be sell the mixture to make a 30% profit in the transaction.
(a) 12.5
(b) 13
(c) 13.7
(d) 14.25
6.An alloy contains copper, zinc and nickel in the ratio of 5 : 3 : 2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3 is
(a) 8
(b) 10
(c) 12
(d) 15
7.Akhil purchased 30 kg of rice at the rate Rs 17.50 per kg and another30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20 per cent overall profit. At what price per kg did he purchase, the lot of another 30 kg rice?
(a) 14.50 Rs
(b) 12.50 Rs
(c) 15.50 Rs
(d) 13.50 Rs
8.A vessel contains 125 litre of wine 25 litre of wine was taken out of the vessel and replaced by water. Then, 25 litre of mixture was withdrawn and again replaced by water. The operation was repeated for the third time. How much wine is nowleft in the vessel ?
(a) 88 litre
(b) 64 litre
(c) 69 litre
(d) 54 litre
9.A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litre of the first solution to make a solution of 10% sugar?
(a) 10
(b) 5
(c) 15
(d) 20
10.A part of sum of Rs 10,000 is lent at 8% and the remaining sum at 10% per annum. If the average rate of interest is 9.2%, then the two parts-
(a) Rs 4000, Rs 6000
(b) Rs 5500, Rs 4500
(c) Rs 5000, Rs 5000
(d) None of these
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