MCQOPTIONS
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MCQOPTIONS
This section includes 164 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price? |
| A. | 1 : 6 |
| B. | 6 : 1 |
| C. | 2 : 3 |
| D. | 4 : 3 |
| Answer» B. 6 : 1 | |
| 2. |
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. | 6 litres, 6 litres |
| B. | 4 litres, 8 litres |
| C. | 7 litres, 5 litres |
| D. | 5 litres, 7 litres |
| Answer» B. 4 litres, 8 litres | |
| 3. |
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. 170 |
| B. | Rs. 169.50 |
| C. | Rs. 180 |
| D. | Rs. 175.50 |
| Answer» E. | |
| 4. |
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. | 20 |
| B. | 10 |
| C. | 25 |
| D. | 21 |
| Answer» E. | |
| 5. |
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 81. How much wine did the cask hold originally? |
| A. | 24 litres |
| B. | 18 litres |
| C. | 42 litres |
| D. | 32 litres |
| Answer» B. 18 litres | |
| 6. |
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. |
| A. | 8g |
| B. | 12g |
| C. | 15g |
| D. | 18g |
| Answer» B. 12g | |
| 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 |
| A. | 0.4 |
| B. | 0.5 |
| C. | 0.512 |
| D. | 0.588 |
| Answer» D. 0.588 | |
| 8. |
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? |
| A. | 0.19 |
| B. | 0.1 |
| C. | 0.21 |
| D. | 0.16 |
| Answer» B. 0.1 | |
| 9. |
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 |
| A. | 2.5 kg |
| B. | 5kg |
| C. | 7.5 kg |
| D. | 10 kg |
| Answer» C. 7.5 kg | |
| 10. |
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? |
| A. | 136 |
| B. | 68 |
| C. | 44 |
| D. | 22 |
| Answer» D. 22 | |
| 11. |
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. |
| A. | 80 L |
| B. | 65 L |
| C. | 75 L |
| D. | 82 L |
| Answer» B. 65 L | |
| 12. |
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%? |
| A. | Rs. 480 |
| B. | Rs. 412.6 |
| C. | Rs. 267.5 |
| D. | None of these |
| Answer» B. Rs. 412.6 | |
| 13. |
Wheat costing Rs 30/kg, Rs 35/kg and a third variety of wheat are mixed in the ratio of 3 : 4 : 2. If the mixture is costs Rs 34/kg, then what will be the cost (in Rs/kg) of the third variety of wheat?_x005F_x000D_ |
| A. | 46 |
| B. | 42 |
| C. | 32 |
| D. | 38 |
| Answer» E. | |
| 14. |
X and Y are two alloys which are prepared by mixing zinc and aluminium in the ratio of 1 : 4 and 11 : 8 respectively. If equal quantities of alloys are melted to form a third alloy Z then what is the ratio of zinc and aluminium in alloy Z?_x005F_x000D_ |
| A. | 1.3659722222222 |
| B. | 1.5819444444444 |
| C. | 37:95 |
| D. | 74:95 |
| Answer» C. 37:95 | |
| 15. |
Vipin adds 3 litres of liquid A in 6 litres of liquid B and Mohit adds 8 litres of liquid A in 15 litres of liquid B. What is the ratio of the percentage of liquid B in the two mixtures?_x005F_x000D_ |
| A. | 1.1006944444444 |
| B. | 2.1472222222222 |
| C. | 1.9479166666667 |
| D. | 1.4340277777778 |
| Answer» D. 1.4340277777778 | |
| 16. |
Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?_x005F_x000D_ |
| A. | 0.16736111111111 |
| B. | 0.42291666666667 |
| C. | 0.21041666666667 |
| D. | 0.25069444444444 |
| Answer» B. 0.42291666666667 | |
| 17. |
Two water-squash mixtures, the first having a water-to-squash ratio of 4 : 1 and the other having a ratio of 3 : 1, are blended in the ratio 1 : 2. What is the water : squash ratio in the blend? |
| A. | 0.79930555555556 |
| B. | 0.96319444444444 |
| C. | 0.71736111111111 |
| D. | 0.16875 |
| Answer» C. 0.71736111111111 | |
| 18. |
Two vessels of equal volume contain milk and water in the ratio 1:3 and 2:1. If they are mixed together, what is the new ratio? |
| A. | 0.46736111111111 |
| B. | 0.54930555555556 |
| C. | 0.38263888888889 |
| D. | 0.46458333333333 |
| Answer» B. 0.54930555555556 | |
| 19. |
Two vessels of equal capacity contains juice and water in the ratio of 5 : 1 and 5 : 7 respectively. The mixture of both the vessels are mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture? |
| A. | 0.12638888888889 |
| B. | 0.21041666666667 |
| C. | 0.21111111111111 |
| D. | 0.043055555555556 |
| Answer» C. 0.21111111111111 | |
| 20. |
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ? |
| A. | 0.16875 |
| B. | 0.12777777777778 |
| C. | 0.2125 |
| D. | 0.29791666666667 |
| Answer» E. | |
| 21. |
Two mixtures have milk and water in the ratio 1 : 4 and 3 : 2 respectively. In what ratio two types of mixtures have to be mixed to get a new mixture having ratio of milk and water as 1 : 1?_x005F_x000D_ |
| A. | 0.16875 |
| B. | 0.21041666666667 |
| C. | 0.12638888888889 |
| D. | 0.04375 |
| Answer» E. | |
| 22. |
Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk? |
| A. | 0.12638888888889 |
| B. | 0.084027777777778 |
| C. | 0.043055555555556 |
| D. | 0.085416666666667 |
| Answer» B. 0.084027777777778 | |
| 23. |
Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ? |
| A. | 0.30069444444444 |
| B. | 0.49791666666667 |
| C. | 0.98402777777778 |
| D. | 0.04375 |
| Answer» B. 0.49791666666667 | |
| 24. |
Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box (in kg)? |
| A. | 10 |
| B. | 12 |
| C. | 14 |
| D. | 16 |
| Answer» D. 16 | |
| 25. |
Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture? |
| A. | 49.6 |
| B. | 52.3 |
| C. | 51.2 |
| D. | 50.7 |
| Answer» E. | |
| 26. |
Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle? |
| A. | 73 : 106 |
| B. | 73 : 116 |
| C. | 73 : 113 |
| D. | 73 : 189 |
| Answer» C. 73 : 113 | |
| 27. |
There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ? |
| A. | 111:108 |
| B. | 0.46458333333333 |
| C. | 103:72 |
| D. | None |
| Answer» C. 103:72 | |
| 28. |
The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?_x005F_x000D_ |
| A. | 0.12847222222222 |
| B. | 0.21319444444444 |
| C. | 1 : 1 |
| D. | |
| Answer» B. 0.21319444444444 | |
| 29. |
There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1. |
| A. | 25 Litres |
| B. | 20 Litres |
| C. | 35 Litres |
| D. | 30 Litres |
| Answer» E. | |
| 30. |
The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures  of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5? |
| A. | 0.29375 |
| B. | 0.21041666666667 |
| C. | 0.33680555555556 |
| D. | 0.088194444444444 |
| Answer» C. 0.33680555555556 | |
| 31. |
The ratio of sand to gravel in a mixture is 7 : 8 while that between gravel and cement is 6 : 7. What is the ratio of sand to cement in the mixture? |
| A. | 2.075 |
| B. | 0.29652777777778 |
| C. | 0.3375 |
| D. | 0.12777777777778 |
| Answer» E. | |
| 32. |
The ratio of sand to gravel in a mixture is 17 : 9 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture?_x005F_x000D_  _x005F_x000D_ |
| A. | 12.079166666667 |
| B. | 0.37916666666667 |
| C. | 0.72013888888889 |
| D. | 0.085416666666667 |
| Answer» E. | |
| 33. |
The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is: |
| A. | 25 |
| B. | 30 |
| C. | 45 |
| D. | cannot be determined |
| Answer» C. 45 | |
| 34. |
The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture? |
| A. | 0.72013888888889 |
| B. | 12.075 |
| C. | 0.3375 |
| D. | 0.12777777777778 |
| Answer» E. | |
| 35. |
The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture? |
| A. | 0.29791666666667 |
| B. | 0.21319444444444 |
| C. | 0.63402777777778 |
| D. | 0.38263888888889 |
| Answer» B. 0.21319444444444 | |
| 36. |
The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases? |
| A. | 25 |
| B. | 21 |
| C. | 12 |
| D. | 24 |
| Answer» C. 12 | |
| 37. |
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water? |
| A. | 0.33541666666667 |
| B. | 0.25486111111111 |
| C. | 0.29513888888889 |
| D. | 0.46319444444444 |
| Answer» D. 0.46319444444444 | |
| 38. |
The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water? |
| A. | 0.21319444444444 |
| B. | 0.17291666666667 |
| C. | 0.042361111111111 |
| D. | 0.17152777777778 |
| Answer» C. 0.042361111111111 | |
| 39. |
The initial ratio of sugar to flour in a dough was 2 : 7. To 9 kg of the dough John added more sugar to make the sugar to flour ratio 2 : 5. How much sugar did John later add? |
| A. | 800 g |
| B. | 1.2 kg |
| C. | 750 g |
| D. | 1 kg |
| Answer» C. 750 g | |
| 40. |
The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be  formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ? |
| A. | 4 |
| B. | 5 |
| C. | 8 |
| D. | None of these |
| Answer» C. 8 | |
| 41. |
The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is |
| A. | Rs. 19.50 |
| B. | Rs. 19 |
| C. | Rs. 18 |
| D. | Rs. 18.50 |
| Answer» D. Rs. 18.50 | |
| 42. |
The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant? |
| A. | 30 |
| B. | 35 |
| C. | 50 |
| D. | 55 |
| Answer» E. | |
| 43. |
The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class? |
| A. | 14 and 16 |
| B. | 13 and 27 |
| C. | 17 and 27 |
| D. | None of these |
| Answer» C. 17 and 27 | |
| 44. |
The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ? |
| A. | 6 ml |
| B. | 11 ml |
| C. | 15 ml |
| D. | 9 ml |
| Answer» B. 11 ml | |
| 45. |
The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5. What is the total quantity (in litres) of the alcohol in the new mixture? |
| A. | 21 |
| B. | 24 |
| C. | 35 |
| D. | 32 |
| Answer» B. 24 | |
| 46. |
Solution A contains 10% acid and solution B contains 30% acid. In what ratio should solution A be mixed with Solution B to obtain a mixture with 25%Â acid? |
| A. | 0.043055555555556 |
| B. | 0.12569444444444 |
| C. | 0.04375 |
| D. | 0.084027777777778 |
| Answer» D. 0.084027777777778 | |
| 47. |
Shiva purchased 280 kg of Rice at the rate of 15.60/kg and mixed it with 120 kg of rice purchased at the rate of 14.40/kg. He wants to earn a profit of Rs. 10.45 per kg by selling it. What should be the selling price of the mix per kg? |
| A. | Rs. 22.18 |
| B. | Rs. 25.69 |
| C. | Rs. 26.94 |
| D. | Rs. 27.54 |
| Answer» C. Rs. 26.94 | |
| 48. |
Tea worth of Rs. 135/kg & Rs. 126/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.1700 |
| C. | Rs. 175.50 |
| D. | Rs. 180 |
| Answer» D. Rs. 180 | |
| 49. |
Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?_x005F_x000D_ |
| A. | 75 lit |
| B. | 80 lit |
| C. | 85 lit |
| D. | 90 lit |
| Answer» C. 85 lit | |
| 50. |
Ramesh uses a weight of 930 gm instead of 1 kg and sells sugar on its cost price. What will be his profit percentage on selling 15 kg sugar?_x005F_x000D_ |
| A. | 9.21 |
| B. | 7 |
| C. | 7.53 |
| D. | 8.54 |
| Answer» D. 8.54 | |