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Quant – Mixture & Allegation – Set 3
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.
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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.
- An alloy contains zinc, copper and tin in the ratio 2: 3:1 and an other contains copper, tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be :
- A. 1/2 kg
- B. 3 kg
- C. 1/8 kg
- D. 7/9 kg
Show answer and explanation
Answer: C. 1/8 kg
Lead is only in the second alloy: 3/12 = 1/4 of its weight. With equal weights, lead per kg of the new alloy = (1/4) / 2 = 1/8 kg.
- The ratio in which tea costing Rs.192 per kg is to be mixed with tea costing Rs.150 per kg so that the mixed tea, when sold for Rs.194.40 per kg gives a profit of 20% is :
- A. 23:5
- B. 2:5
- C. 5:2
- D. 5:3
Show answer and explanation
Answer: B. 2:5
Selling price 194.40 with 20% profit means cost = Rs 162. Rs 192 tea : Rs 150 tea = (162 - 150) : (192 - 162) = 12 : 30 = 2 : 5.
- The ratio of the quantities of sugar, in which sugar costing Rs.20 per kg. and Rs. 15 per kg should be mixed so that here will be neither loss nor gain on selling the mixed sugar at the rate of Rs.16 per kg is :
- A. 1:2
- B. 4:1
- C. 2:1
- D. 1:4
Show answer and explanation
Answer: D. 1:4
Cost = selling price = Rs 16. Rs 20 sugar : Rs 15 sugar = (16 - 15) : (20 - 16) = 1 : 4.
- In one glass, Milk and water are mixed in the ratio 3:5 and in another glass they are mixed in the ratio 6:1. In what ratio should the content of the two glasses be mixed together so that the new mixture contains milk and water in the ratio 1:1?
- A. 8:3
- B. 20:7
- C. 25:9
- D. 27:4
Show answer and explanation
Answer: B. 20:7
Milk fraction: first = 3/8, second = 6/7, required = 1/2. First : second = (6/7 - 1/2) : (1/2 - 3/8) = 5/14 : 1/8 = 20 : 7.
- In a mixture of 60 litres, the ratio of milk and water is 2:1. How much more water must be added to make its ratio 1:2 ?
- A. 40 litres
- B. 54 litres
- C. 52 litres
- D. 60 litres
Show answer and explanation
Answer: D. 60 litres
Milk = 40 L, water = 20 L. For 1 : 2 the water must be 80 L, so add 60 L.
- In what ratio does Darjeeling Tea costing Rs.320 per kg be mixed with Assam Tea costing Rs.250 per kg so that there is a gain of 20% by selling the mixture at Rs.324 per kg ?
- A. 1:2
- B. 3:2
- C. 2:3
- D. 2:5
Show answer and explanation
Answer: D. 2:5
Selling price 324 with 20% gain means cost = Rs 270. Darjeeling : Assam = (270 - 250) : (320 - 270) = 20 : 50 = 2 : 5.
- The ratio of milk and water in mixtures of four containers are 5:3,2:1, 3:2 and 7:4 respectively.In which container is the quantity of milk, relative to water, minimum?
- A. Third
- B. First
- C. Second
- D. Fourth
Show answer and explanation
Answer: A. Third
Milk share: 5/8 = 0.625, 2/3 = 0.667, 3/5 = 0.600, 7/11 = 0.636. The third container has the least milk.
- The ratio of the volumes of water and glycerine in 240cc of mixture is 1:3. The quantity of water(in cc) that should be added to the mixture so the volumes of water and glycerine becomes 2:3 is :
- A. 62.5
- B. 55
- C. 60
- D. 64
Show answer and explanation
Answer: C. 60
Water = 60 cc and glycerine = 180 cc. For 2 : 3 the water must be 120 cc, so add 60 cc.
- The ratio of the quantities of acid and water in a mixture is 1: 3 . If 5 litres of acid is further added to the mixture, the new ratio becomes 1:2. The quantity of new mixture in litres is :
- A. 32
- B. 45
- C. 40
- D. 42
Show answer and explanation
Answer: B. 45
Let acid = x and water = 3x. (x + 5) / 3x = 1/2 gives 2x + 10 = 3x, so x = 10. New mixture = 10 + 5 + 30 = 45 L.
- Two equal vessels are filled with the mixtures of water and milk in the mixtures of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be :
- A. 53:59
- B. 15:12
- C. 59:53
- D. 20:9
Show answer and explanation
Answer: C. 59:53
Water share = 3/7 + 5/8 = 59/56 and milk share = 4/7 + 3/8 = 53/56. Ratio = 59 : 53.