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Quant – Mixture & Allegation – Set 2
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.
- Your marks, the correct answers and an explanation for every question are shown as soon as you submit.
- You can take this test as many times as you like. A fresh set is drawn each time you reload the page.
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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 person has a chemical of Rs. 25 per litre.In what ratio should water be mixed with chemical the mixture at Rs.20 per litres he may get profit of 25%.
- A. 9 : 16
- B. 14 : 9
- C. 9 : 14
- D. 16 : 9
Show answer and explanation
Answer: D. 16 : 9
The mixture should cost 20 / 1.25 = Rs 16 per litre. Chemical : water = (16 - 0) : (25 - 16) = 16 : 9 by alligation of prices, so water : chemical = 16 : 9.
- 7kg of tea costing Rs.280 per kg is mixed with 9kg of tea costing Rs.240 per kg. The average price per kg of the mixed tea is :
- A. Rs. 267.50
- B. Rs. 257.50
- C. Rs. 255.80
- D. Rs. 267.20
Show answer and explanation
Answer: B. Rs. 257.50
Average = (7 × 280 + 9 × 240) / 16 = 4,120 / 16 = Rs 257.50.
- In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?
- A. 2:1
- B. 3:1
- C. 1:2
- D. 1:3
Show answer and explanation
Answer: D. 1:3
Alligation: 30% : 50% = (50 - 45) : (45 - 30) = 5 : 15 = 1 : 3.
- In a 729 litres mixture of milk and water the ratio of milk to water is 7:2 . To get a new mixture containing milk and water in the ratio 7:3 , the amount of water to be added is :
- A. 56 litres
- B. 71 litres
- C. 50 litres
- D. 81 litres
Show answer and explanation
Answer: D. 81 litres
Milk = 7/9 of 729 = 567 L and water = 162 L. For 7 : 3 the water must be 243 L, so add 81 L.
- In a 40 litres mixture of milk and water the ratio of milk to water is 7:1. In order to make the ratio of milk and water 3:1, the quantity of water (in litres) that should be added to the mixture will be :
- A. 6 3/4
- B. 6 2/3
- C. 6 1/2
- D. 7 1/3
Show answer and explanation
Answer: B. 6 2/3
Milk = 35 L, water = 5 L. For 3 : 1 the water must be 35/3 L, so add 35/3 - 5 = 6 2/3 L.
- In an alloy, zinc, and copper are in the ratio 1:2. In the second alloy, the same elements are in the ratio 2:3 . If these two alloys be mixed to form a new alloy in which two elements are the ratio 5:8 , the ratio of these two alloys in the new alloys is :
- A. 10:3
- B. 3:7
- C. 7:3
- D. 3:10
Show answer and explanation
Answer: D. 3:10
Zinc fraction: first = 1/3, second = 2/5, required = 5/13. First : second = (2/5 - 5/13) : (5/13 - 1/3) = 1/65 : 2/39 = 3 : 10.
- A jar contained a mixture of two liquids A and B in the ratio 4:1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar. This ratio became 2:3. The quantity of liquid A contained in the jar initially was :
- A. 40 litres
- B. 4 litres
- C. 16 litres
- D. 8 litres
Show answer and explanation
Answer: C. 16 litres
Let the total be T. After removing 10 L, A = (4/5)(T - 10) and B = (1/5)(T - 10) + 10. For A : B = 2 : 3, 3 × (4/5)(T - 10) = 2 × [(1/5)(T - 10) + 10], so T = 20. A at the start = 4/5 × 20 = 16 L.
- In a mixture of 75 litres, the ratio of milk to water is 2:1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1:2 will be:
- A. 45 litres
- B. 75 litres
- C. 60 litres
- D. 40 litres
Show answer and explanation
Answer: B. 75 litres
Milk = 50 L, water = 25 L. For 1 : 2 the water must be 100 L, so add 75 L.
- A and B are two alloys of gold and copper prepared by mixing metals in the ratio 5:3 and 5:11 respectively. Equal quantities of these alloys are melted to from a third alloy C. The ratio of gold and copper in the alloy C is :
- A. 25:13
- B. 15:17
- C. 33:15
- D. 17:15
Show answer and explanation
Answer: B. 15:17
Gold in A = 5/8 and in B = 5/16. Equal quantities: gold = (5/8 + 5/16)/2 = 15/32, so copper = 17/32. Ratio = 15 : 17.
- Two types of alloys possess gold and silver in the ratio of 7:22 and 21:37. In what ratio should these alloys be mixed so as to have a new alloy in which gold and silver would exist in the ratio 25: 62 ?
- A. 8:13
- B. 13:8
- C. 13:12
- D. 6:9
Show answer and explanation
Answer: B. 13:8
Gold fraction: first = 7/29, second = 21/58, required = 25/87. First : second = (21/58 - 25/87) : (25/87 - 7/29) = 13/174 : 4/87 = 13 : 8.