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Quant – Mixture & Allegation – Set 5
Read the following instructions carefully
- The test contains 10 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 8 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
- There is no negative marking for questions you do not attempt.
- You may pause the test at any time and resume where you left off.
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Review this set's questions and answers (opens after you submit the test)
This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drained 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. 10
- B. 21
- C. 20
- D. 35
Show answer and explanation
Answer: B. 21
Let the total be T. After draining 9 L, A = (7/12)(T - 9) and B = (5/12)(T - 9) + 9. For A : B = 7 : 9, 9 × (7/12)(T - 9) = 7 × [(5/12)(T - 9) + 9], so T - 9 = 27 and T = 36. A = 7/12 × 36 = 21 L.
- Two vessels contain milk and water in the ratio 3:2 and 7:3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2:1?
- A. 1:4
- B. 1:2
- C. 2:1
- D. 4:1
Show answer and explanation
Answer: B. 1:2
Milk fraction: first = 3/5, second = 7/10, required = 2/3. First : second = (7/10 - 2/3) : (2/3 - 3/5) = 1/30 : 1/15 = 1 : 2.
- A shopkeeper bought 15 kg of rice at the rate of Rs.29 per kg and 25 kg of rice at the rate of Rs.20 per kg.He sold the mixture of both types of rice at the rate of Rs.27 per kg. His profit in this transaction is :
- A. Rs. 125
- B. Rs. 140
- C. Rs. 145
- D. Rs. 150
Show answer and explanation
Answer: C. Rs. 145
Cost = 15 × 29 + 25 × 20 = 435 + 500 = 935. Selling price = 40 × 27 = 1,080. Profit = Rs 145.
- Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1:3 and in the second alloy is 2:5, In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8:3 ?
- A. 5:11
- B. 3:5
- C. 3:8
- D. 4:7
Show answer and explanation
Answer: D. 4:7
Copper fraction: first = 1/4, second = 2/7, required = 3/11. First : second = (2/7 - 3/11) : (3/11 - 1/4) = 1/77 : 1/44 = 4 : 7.
- A mixture contains alcohol and water in the ratio 4:3. If 5 litres of water is added to the mixture, the ratio becomes 4:5. The quantity of alcohol in the given mixture is :
- A. 3 litres
- B. 15 litres
- C. 10 litres
- D. 4 litres
Show answer and explanation
Answer: C. 10 litres
Alcohol = 4x and water = 3x. 4x / (3x + 5) = 4/5 gives 20x = 12x + 20, so x = 2.5. Alcohol = 4 × 2.5 = 10 L.
- 15 litres of a mixture contains alcohol and water in the ratio 1:4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be :
- A. 17
- B. 18 1/2
- C. 15
- D. 16 2/3
Show answer and explanation
Answer: D. 16 2/3
Alcohol = 3 L in 15 L. After adding 3 L of water the total is 18 L, so alcohol = 3/18 = 16 2/3%.
- Three vessels whose capacities are in the ratio of 3:2:1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5:2 ,4:1 and 4:1 respectively. Taking 1/3 of first, 1/2 of second and 1/7 of third mixtures, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is :
- A. 24
- B. 30
- C. 32
- D. 28
Show answer and explanation
Answer: A. 24
Capacities 3k, 2k, k. Mixture drawn: k, k and k/7. Water in them: 2/7 of k, 1/5 of k, 1/5 of k/7 = 2k/7 + k/5 + k/35 = 18k/35. Total drawn = 15k/7. Water % = (18/35) / (15/7) = 24%.
- Nikita bought 30 kg of wheat at the rate of Rs.9.50 per kg and 40 kg of wheat at the rate of Rs.8.50 per kg and mixed them. She sold the mixture at the rate of Rs.8.90 per kg. Her total profit or loss in the transaction was :
- A. Rs. 2 loss
- B. Rs. 7 loss
- C. Rs. 2 profit
- D. Rs. 7 profit
Show answer and explanation
Answer: A. Rs. 2 loss
Cost = 30 × 9.50 + 40 × 8.50 = 285 + 340 = 625. Selling price = 70 × 8.90 = 623. Loss = Rs 2.
- A mixture of a certain quantity of milk with 16 litres of water is worth 90 Paise per litre. If pure milk is worth Rs.1.80 per litre. How much milk is there in the mixture ?
- A. 80 litres
- B. 60 litres
- C. 40 litres
- D. 16 litres
Show answer and explanation
Answer: D. 16 litres
Let milk be x litres. Cost of milk = 1.80x = value of the mixture 0.90 (x + 16), so 0.9x = 14.4 and x = 16 L.
- A gold smith has two qualities of gold, one of 12 carats and another of 16 carats purity. In what proportion should he mix both to make an ornament of 15 carats purity ?
- A. 3:2
- B. 2:3
- C. 3:1
- D. 1:3
Show answer and explanation
Answer: D. 1:3
Alligation: 12 carat : 16 carat = (16 - 15) : (15 - 12) = 1 : 3.