Study Guide · Chapter 14
5. Practice Question Set A — Basic Level
Free study material · concepts, shortcuts & solved questions
Select any text to highlight or save it
- In what ratio must rice at Rs 9/kg be mixed with rice at Rs 7/kg so that the mixture costs Rs 8/kg? (Two-ingredient alligation)
- 1:1 (b) 2:1 (c) 1:2 (d) 3:2
- Two types of tea worth Rs 60/kg and Rs 75/kg are mixed in the ratio 3:2. Find the price of the mixture. (Mean price — direct)
- Rs 65 (b) Rs 66 (c) Rs 68 (d) Rs 70
- In what ratio should water be mixed with milk to gain 20% by selling the mixture at the cost price of milk? (Alligation with free ingredient)
- 1:5 (b) 5:1 (c) 1:6 (d) 6:1
- A container contains 50 L of milk. 5 L of milk is withdrawn and replaced with water (done once). Find the quantity of milk left. (Basic replacement)
- 40 L (b) 42.5 L (c) 45 L (d) 47.5 L
- Find the mean price of a mixture of 6 kg of tea at Rs 50/kg with 4 kg of tea at Rs 70/kg. (Mean price — direct)
- Rs 56 (b) Rs 58 (c) Rs 60 (d) Rs 62
- In what ratio must a 20% acid solution be mixed with a 50% acid solution to get a 30% solution? (Concentration alligation)
- 1:2 (b) 2:1 (c) 1:1 (d) 3:1
- A mixture of 40 L of milk and water contains 10% water. How much water should be added to make the water content 20% in the new mixture? (Ratio change on addition)
- 4 L (b) 5 L (c) 6 L (d) 8 L
- Two vessels A and B contain milk and water in the ratio 3:2 and 1:2 respectively. In what ratio should mixtures from A and B be mixed to get a new mixture with milk and water in equal proportion? (Reverse alligation on mixtures)
- 3:5 (b) 5:3 (c) 2:3 (d) 3:2
- A trader mixes 20 kg rice at Rs 18/kg with 30 kg rice at Rs 22/kg. Find the cost price per kg of the mixture. (Mean price — direct)
- Rs 19.5 (b) Rs 20 (c) Rs 20.4 (d) Rs 21
- In what ratio must a grocer mix two varieties of pulses costing Rs 15/kg and Rs 20/kg respectively to get a mixture worth Rs 16.50/kg? (Reverse alligation)
- 3:7 (b) 7:3 (c) 2:5 (d) 5:2
- A vessel contains a mixture of milk and water in the ratio 4:1. If 10 L of water is added, the ratio becomes 2:1. Find the initial quantity of milk. (Ratio-equation, milk-water)
- 30 L (b) 36 L (c) 40 L (d) 44 L
- Find the ratio in which sugar at Rs 45/kg should be mixed with sugar at Rs 30/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%. (Alligation + profit%)
- 1:2 (b) 2:1 (c) 2:3 (d) 3:2
- A container has 100 L of pure milk. 10 L is withdrawn and replaced with water; this process is repeated 2 more times (3 times total). Find the quantity of milk left. (Repeated replacement formula)
- 70 L (b) 72.9 L (c) 75 L (d) 81 L
- A mixture of 66 L contains milk and water in the ratio 5:1. How much water must be added to make the ratio 5:3? (Ratio change on addition)
- 18 L (b) 20 L (c) 22 L (d) 24 L
- Two vessels of equal volume contain milk and water mixtures in the ratio 3:1 and 5:3 respectively. If both are mixed together, find the new ratio of milk to water. (Mixture of mixtures — equal volumes)
- 11:5 (b) 5:11 (c) 7:3 (d) 3:7
- In what ratio must tea worth Rs 50/kg be mixed with tea worth Rs 70/kg so that the mixture is worth Rs 65/kg? (Two-ingredient alligation)
- 1:3 (b) 3:1 (c) 1:2 (d) 2:1
- Find the price of a mixture obtained by mixing 8 kg of rice at Rs 40/kg with 12 kg of rice at Rs 60/kg. (Mean price — direct)
- Rs 48 (b) Rs 50 (c) Rs 52 (d) Rs 54
- A vessel has 60 L of milk. 6 L of milk is withdrawn and replaced with water (done once). Find the quantity of milk left. (Basic replacement)
- 50 L (b) 52 L (c) 54 L (d) 56 L
- In what ratio should a 25% salt solution be mixed with a 40% salt solution to get a 30% solution? (Concentration alligation)
- 1:2 (b) 2:1 (c) 3:2 (d) 2:3
- A mixture of 30 L contains milk and water in the ratio 2:1. How much water must be added to make the ratio 1:1? (Ratio change on addition)
- 5 L (b) 8 L (c) 10 L (d) 12 L
Page 1 of 1