Practice Test: Question Set - 01
1. How much kg of tea (cost Rs. 160 per kg.) should be mixed with tea (cost Rs. 120 per kg.) to prepare 16 kg to sell at Rs. 2160?
- (A) 8 kg.
- (B) 12 kg.
- (C) 6 kg.
- (D) 4 kg.
2. In 90 liter mixture of wine and water, there is 10% water. How much water should be added so that the percentage of water may raise to 19%
- (A) 12 liters
- (B) 10 liters
- (C) 15 liters
- (D) 8 liters
3. ‘A’ and ‘B’ are two different alloys of gold and silver having the two metals in the ratio 7:2 and 7:1 respectively. If equal quantities of both the alloys are mixed to prepare a third alloy C, then the proportion of gold and silver in ‘C’ is?
- (A) 2 : 5
- (B) 7 : 5
- (C) 5 : 2
- (D) 5 : 7
4. Two vessels ‘A’ and ‘B’ are filled with dilute sulphuric acid (i.e. mixture of sulphuric acid and water), vessel ‘A’ has the ratio of acid and water in 1:2, while the vessel ’B’ has the ratio of acid and water in 3:1. To prepare 5 liter mixture of dilute sulphuric acid containing equal amount of acid and water, what amount of mixtures from both the vessels ‘A’ and ‘B’ should be taken?
- (A) 2 liters and
3 liters
- (B) 3 liters and
2 liters
- (C) 1 liter and
4 liters
- (D) 4 liters and
1 liter
5. A mixture contains 4 parts spirit and 1 part water. 1 kg of water is added to it. The new mixture has spirit and water in the ratio 3:1. Find the weight of spirit (in kg.) in the original mixture?
- (A) 11 kg.
- (B) 13 kg.
- (C) 10 kg.
- (D) 12 kg.
6. In brand ‘A’ the ratio of two types of oils are 4:3. In brand ‘B’ the ratio of these two oils is 2:3. How much kg. of brand ‘A’ should be mixed with 5 kg of brand ‘B’ to gain the ratio of two oils in 5:4 ?
- (A) 24.5 kg.
- (B) 14 kg.
- (C) 98 kg.
- (D) 49 kg.
7. A, B, C and D brands of tea are purchased at Rs. 100, 120, 130 and 160 per kg respectively and mixed in the ratio 4 : 3 : 2 : 1. Find the selling price per kg of the mixed so that 10% of profit can be obtained?
- (A) Rs. 132.80
- (B) Rs. 137.80
- (C) Rs. 126.80
- (D) Rs. 129.80
8. Two alloys of silver and copper contains silver and copper in the ratio 5:1 and 7:2. What quantities of each should mixed to prepare silver being 80% in 5 lbs?
- (A) 1 : 4
- (B) 2 : 3
- (C) 3 : 2
- (D) 4 : 1
9. Two vessels contains spirit and water in the ratio 3:1 and 5:3 respectively. In what ratio these two be mixed to prepare a third mixture containing spirit and water in the ratio 2:1?
- (A) 1 : 2
- (B) 2 : 3
- (C) 1 : 3
- (D) 2 : 1
10. An alloy contains 90% copper and 10% tin. Another alloy has 93% copper and 4% tin. In what ratio these to be mixed so that the mixture must have 9% tin?
- (A) 5 : 1
- (B) 1 : 5
- (C) 2 : 7
- (D) 7 : 2
11. The cost of pure milk is Rs. 12 per liter. Water is added to it and then mixture is sold at Rs. 13.75 per liter and thus 25% of profit is realized. Find the ratio of milk and water in the mixture?
- (A) 12 : 1
- (B) 11 : 2
- (C) 11 : 1
- (D) 12 : 2
12. Gold is 19 times as heavy as water. Copper is 9 times as heavy as water. In what ratio these two to be mixed so that the weight of the mixture be 15 times as heavy as water?
- (A) 2 : 3
- (B) 1 : 5
- (C) 3 : 2
- (D) 5: 1
13. 4 liter wine is withdrawn from a vessel full of wine and again filled with water to fill the vessel. The ratio of wine and water in the vessel now is 36:13. Find the capacity of the vessel?
- (A) 23 liters
- (B) 49 liters
- (C) 28 liters
- (D) None of
these
14. A vessel contains 56 liters of mixture of milk in the ratio of 3:5. How much water should be added so that the mixture may contain milk and water in the ratio 7:13?
- (A) 4 liters
- (B) 5 liters
- (C) 6 liters
- (D) 3 liters
15. The weight of 1 liter water is 1 kg and 1 kg. of another liquid in 1.340 kg. The mixed weight of the two liquids is 1.270 kg/liter. The ratio of the two, in 1 liter mixture is
- (A) 7 : 34
- (B) 7 : 27
- (C) 27 : 7
- (D) 27 : 34
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