Mixtures and mixtures is an important topic in quantitative aptitude, which is commonly tested in bank exams. It involves the blending of two or more components to form a mixture, and this concept is used to calculate the ratio or percentage of different substances in a solution. Mastering this topic enhances problem-solving skills, as it requires an understanding of ratios, averages, and basic algebra.
Mixtures and Mixtures Questions for Bank Exams
Mixture and Mixture questions for bank exams help students to score good marks in their exams as this topic is limited to concepts which can be mastered in a few days. Practising these questions thoroughly will help students to boost their confidence as well as help them excel in exams.
1. In what ratio does a grocer mix two types of pulses costing Rs. 15/kg and Rs. 20/kg respectively to make a mixture of pulses costing Rs. 16.50/kg?
A) 3:7
B) 5:7
c) 7:3
d) 7:5
Answer: d) 7:5
2. A vessel is full of a liquid, which contains 3 parts water and 5 parts syrup. How much part of the mixture must be removed and replaced with water so that the mixture becomes half water and half syrup?
a) 1/3
B) 1/4
c) 1/5
d) 1/7
Answer: b) 1/4
3. 8 litres of wine is taken out from a cask full of wine and then filled with water. This process is repeated three more times. Now the ratio of the quantity of wine left in the cask to the quantity of water is 16 : 65. How much wine was originally in the cask?
a) 18 litres
b) 24 liters
c) 32 litres
d) 42 litres
Answer: c) 32 litres
4. A trader has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. Overall he makes a profit of 14%. What is the quantity sold at 18% profit?
a) 400 kg
b) 600 kg
c) 560 kg
d) 640 kg
Answer: b) 600 kg
5. There is 40 liters of milk in a vessel. 4 liters of milk was taken out from this vessel and replaced with water. This process was repeated twice more. How much milk is there in the vessel now?
a) 29.16 litres
b) 28 liters
c) 28.2 liters
d) 26 litres
Answer: a) 29.16 litres
6. A milk vendor has 2 cans of milk. The first can contains 25% water and the rest milk. The second can contains 50% water. How much milk should he mix from each can to get 12 liters of milk, so that the ratio of water and milk is 3 : 5?
a) 5 litres, 7 litres
b) 4 litres, 8 litres
c) 6 liters, 6 liters
d) 7 litres, 4 litres
Answer: c) 6 litres, 6 litres
7. In what ratio should water be mixed in fruit juice costing Rs 24 per litre so that the cost of the juice becomes Rs 20 per litre?
A) 1:4
b) 1:5
c) 1:6
d) 2:5
Answer: b) 1:5
8. A shopkeeper has 50 kg of rice. He sells a part of it at 10% profit and the rest at 5% loss. Overall he makes a profit of 7%. Find the quantity sold at 10% profit.
a) 40 kg
b) 15 kg
c) 35 kg
d) 20 kg
Answer: c) 35 kg
9. Tea at Rs 126 per kg and Rs 135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the price of the mixture is Rs 153 per kg, then the price per kg of the third variety will be:
d) Rs 180.5
Answer: c) Rs 175.5.
10. In what ratio should a person mix three types of metals costing Rs. 60/kg, Rs. 75/kg and Rs. 100/kg so as to make a profit of 20% by selling the resulting alloy at Rs. 96/kg?
d) 1:4:2
Answer: a) 4:2:1
11. How many kilograms of rice at Rs 6.4 per kg should be mixed with 10 kg of rice at Rs 4.8 per kg in such a way that the mixture is sold at a profit of 20%, which is Rs 1.12 more than the average price per kg of the two types of rice.
a) 12 kg
b) 15 kg
c) 10 kg
d) 11 kg
Answer: a) 12 kg
12. Three types of rice costing Rs. 1.27, Rs. 1.29 and Rs. 1.32 per kg are mixed together and sold at Rs. 1.30 per kg. In what ratio should this rice be mixed?
a) 1:5
B) 2:6
c) 3:5
d) 4:5
Answer: c) 3:5
13. By what percentage does a shopkeeper mix 4 types of rice costing Rs. 95, Rs. 60, Rs. 90 and Rs. 50 per kg so that he can make a mixture of these rice worth Rs. 80 per kg?
a) 4:4:5:1
b) 7:4:2:3
c) 3:9:5:8
d) 4:6:5:7
Answer: c) 4:6:5:7
14. Two vessels A and B contain milk and water in the ratio of 4:3 and 2:3. In what ratio should these mixtures be mixed to make a new mixture of half milk and half water?
a) 7 : 5
b) 6 : 5
c) 5: 6
d) 4 : 3
Answer: a) 7:5
15. A milkman makes a profit of 20% by selling diluted milk at Rs 9 per liter. If the cost price of 1 liter of pure milk is Rs 10, then what is the ratio of milk and water in the said mixture?
a) 3 : 1
b) 4 : 1
c) 3 : 2
d) 4 : 3
Answer: b) 4:1
16. The ratio of chromium and steel in two types of stainless steel is 2:11 and 5:21 respectively. In what ratio should the two types be mixed so that the ratio of chromium and steel in the mixed type becomes 7:32?
a) 2 : 3
b) 3 : 4
c) 1:2
d) 1:3
Answer: b) 3:4
17. Two liquids A and B are in the ratio of 5:1 in container 1 and 1:3 in container 2. In what ratio should the contents of the two containers be mixed to obtain a mixture of A and B in the ratio of 1:1?
a) 2 : 3
b) 4 : 3
c) 3 : 2
d) 3 : 4
Answer: b) 4:3
18. There are two containers: the first contains 500 ml of alcohol, while the second contains 500 ml of water. Three cups of alcohol are taken out from the first container and mixed thoroughly in the second container. Then three cups of this mixture are taken out and added to the first container. Let A denote the proportion of water in the first container and B denote the proportion of alcohol in the second container. So,
a) A > B
b) a < b
c) a = b
d) None of these
Answer: c) A = B
19. The price of two types of pulses is Rs. 15 and Rs. 20 per kg respectively. If both the pulses are mixed together in the ratio of 2:3, then what should be the price of the mixed pulses per kg?
a) Rs 22 per kilogram
b) Rs 30 per kilogram
c) Rs 10 per kilogram
d) Rs 18 per kilogram
Answer: d) Rs 18 per kilogram
20. A dealer has 1000 kg of sugar and he sells a part of it at 8% profit and the rest at 18% profit. He makes an overall profit of 14%. What is the quantity of sugar sold at 18% profit?
a) 250 kg
b) 600 kg
c) 620 kg
d) 400 kg
Answer: b) 600 kg
