Question 1 : A vessel contains milk and water in the ratio 3:2. The volume of the contents is increased by 50% by adding water to it. From this resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk water in the final solution is 3:7. Find the original volume of the solution.
1. 80 L
2. 65 L
3. 75 L
4. 82 L
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Question 2 : A lump of two metals weighing 18 g is worth Rs. 87 but if their weight be interchanged, it would be worth Rs. 78.60. If the price of one metal be Rs. 6.70 per gram, find the weight of the other metal in the mixture.
1. 8g
2. 12g
3. 15g
4. 18g
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Question 3 : Weights of two friends Ram and Shyam are in the ratio 4:5. Ram's weight increased 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam increase?
1. 19%
2. 10%
3. 21%
4. 16%
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Question 4 : An amount of Rs. 680 was invested at 6% rate of interest and another sum of money was invested at 10% interest. If the average interest on the total at the end of the year was 7.5%, how much was invested at 10%?
1. Rs. 480
2. Rs. 412.6
3. Rs. 267.5
4. None of these
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Question 5 : In a zoo, there are deers and there are ducks. If the heads are counted, there are 180, while the legs are 448. What will be the number of deers in the zoo?
1. 136
2. 68
3. 44
4. 22
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Question 6 : Three types of wheat of Rs. 1.27, Rs. 1.29 and Rs. 1.32 per kg are mixed together to be sold at Rs. 1.30 per kg. In what ratio should this wheat be mixed?
1. 1:02:03
2. 2:02:03
3. 2:03:01
4. 1:01:02
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Question 7 : From a container, full of pure milk, 20% is replaced by water and this process is repeated three times. At the end of third operation, the quantity of pure milk reduces to
1. 40.00%
2. 50.00%
3. 51.20%
4. 58.80%
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Question 8 : To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is
1. 2.5 kg
2. 5kg
3. 7.5 kg
4. 10 kg
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Question 9 : In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength?
1. 1:02
2. 1:03
3. 2:01
4. 3:01
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Question 10 : In a 729 litres mixture of milk and water, the ratio of milk to water is 7:2. to get a new mixture containing milk and water in the ratio 7:3, the amount of water to be added is:
1. 81 litres
2. 71 litres
3. 56 litres
4. 50 litres
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