SSC Quantitative Aptitude Mixture And Alligation Question Bank

done Mixture and Allegation (II) Total Questions - 28

• question_answer1)
  There are three bottles of mixture of syrup and water of ratios \[2:3,\]\[3:4\] and \[7:5.\]\[10\,L\]of first and 21 L 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 \[1:1.\] [SSC CGL Tier II, 2017]
  A)
  \[25\,L\] done clear
  B)
  \[20\,L\] done clear
  C)
  \[35\,L\] done clear
  D)
  \[30\,L\] done clear
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• question_answer2)
  60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, the amount of tin in the new alloy is [SSC CGL Tier II, 2015]
  A)
  44 kg done clear
  B)
  24 kg done clear
  C)
  53 kg done clear
  D)
  80 kg done clear
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• question_answer3)
  20 L of a mixture contains 20% alcohol and the rest water. If 4 L of water be mixed in it, the percentage of alcohol in the new mixture will be [SSC CGL Tier II, 2014]
  A)
  \[33\frac{1}{3}\] done clear
  B)
  \[16\frac{2}{3}\] done clear
  C)
  \[25\] done clear
  D)
  \[12\frac{1}{2}\] done clear
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• question_answer4)
  There are two containers of equal capacity. The ratio of milk to water in the first container is 3 : 1, in the second container 5 : 2. If they are mixed up, the ratio of milk to water in the mixture will be [SSC CGL Tier II, 2014]
  A)
  28 : 41 done clear
  B)
  41 : 28 done clear
  C)
  15 : 41 done clear
  D)
  41 : 15 done clear
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• question_answer5)
  Sourav purchased 30 kg of rice at the rate of Rs. 10 per kg and 35 kg at the rate of Rs. 11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction?
  A)
  12.5 done clear
  B)
  13 done clear
  C)
  13.7 done clear
  D)
  14.25 done clear
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• question_answer6)
  From a vessel containing 100 L of wine, 10 L are drawn out and, an equal amount of water is added. From the mixture, 10 L is again drawn out and same quantity of water is added. What is the final ratio of wine and water?
  A)
  80 : 20 done clear
  B)
  90 : 10 done clear
  C)
  91 : 9 done clear
  D)
  81 : 19 done clear
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• question_answer7)
  In a laboratory, two bottles contain mixture of acid and water in the ratio 2 : 5 in the first bottle and 7 : 3 in the second. The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2 : 3 is
  A)
  4 : 15 done clear
  B)
  9 : 8 done clear
  C)
  21 : 8 done clear
  D)
  1 : 2 done clear
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• question_answer8)
  A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11, respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be
  A)
  5 : 7 done clear
  B)
  5 : 9 done clear
  C)
  7 : 5 done clear
  D)
  9 : 5 done clear
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• question_answer9)
  A mixture contains 80% acid and rest water. Part of the mixture that should be removed and replaced by the same amount of water to make the ratio of acid and water 4 : 3 is
  A)
  \[\frac{1}{3}rd\] done clear
  B)
  \[\frac{3}{7}th\] done clear
  C)
  \[\frac{2}{3}rd\] done clear
  D)
  \[\frac{2}{7}th\] done clear
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• question_answer10)
  In what ratio must a grocer mix teas worth Rs. 60 per kg and Rs. 65  per kg, so that by selling the mixture at Rs. 68.20 per kg, he may gain 10%
  A)
  3 : 2 done clear
  B)
  3 : 4 done clear
  C)
  3 : 5 done clear
  D)
  4 : 5 done clear
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• question_answer11)
  In what ratio must water be mixed with milk to gain \[16\frac{2}{3}%\] on selling the mixture at cost price?
  A)
  1 : 6 done clear
  B)
  2 : 3 done clear
  C)
  4 : 3 done clear
  D)
  6 : 1 done clear
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• question_answer12)
  A shopkeeper blends two varieties of tea costing Rs. 18 and Rs. 13 per kg in the ratio 7 : 3. He sells the blended variety at the rate of Rs. 18.15 per kg. His percentage gain in the transaction is
  A)
  4 done clear
  B)
  8 done clear
  C)
  10 done clear
  D)
  20 done clear
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• question_answer13)
  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 should be mixed to obtain a new mixture in vessel C containing half milk and half water?
  A)
  1 : 1 done clear
  B)
  1 : 3 done clear
  C)
  1 : 2 done clear
  D)
  7 : 5 done clear
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• question_answer14)
  How much water must be added to a bucket which contains 40 L of milk at the cost price of Rs. 3.50 per liter, so that the cost of milk reduces to Rs. 2 per litre?
  A)
  25 L done clear
  B)
  28 L done clear
  C)
  30 L done clear
  D)
  35 L done clear
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• question_answer15)
  In what proportion must water be added to spirit to gain 20% by selling it at the cost price?
  A)
  2 : 5 done clear
  B)
  1 : 5 done clear
  C)
  3 : 5 done clear
  D)
  4 : 5 done clear
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• question_answer16)
  A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water, so that the mixture may be half water and half syrup?
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{4}\] done clear
  C)
  \[\frac{1}{5}\] done clear
  D)
  \[\frac{1}{7}\] done clear
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• question_answer17)
  A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 L 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 there in the can initially?
  A)
  10 L done clear
  B)
  20 L done clear
  C)
  21 L done clear
  D)
  25 L done clear
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• question_answer18)
  8 L 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 the cask to that of water is 16 : 65. How much wine did the cask hold initially?
  A)
  18 L done clear
  B)
  24 L done clear
  C)
  32 L done clear
  D)
  42 L done clear
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• question_answer19)
  In what ratio must a grocer mix two types of rice costing Rs. 7.50 per kg and Rs. 10 per kg, respectively, so as to get a mixture worth Rs. 8.25 per kg?
  A)
  4 : 3 done clear
  B)
  7 : 3 done clear
  C)
  8 : 3 done clear
  D)
  2 : 5 done clear
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• question_answer20)
  In what proportion must a grocer mix wheat at Rs. 2.04 per kg and Rs. 2.88 per kg, so as to make a mixture of worth Rs. 2.52 per kg?
  A)
  2 : 3 done clear
  B)
  3 : 2 done clear
  C)
  5 : 3 done clear
  D)
  3 : 4 done clear
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• question_answer21)
  A milkman bought 15 L of milk and mixed 3 L of water in it. If the price per kg of the mixture becomes Rs. 22, what is cost price of the milk per litre?
  A)
  Rs. 28.00 done clear
  B)
  Rs. 26.40 done clear
  C)
  Rs. 24.00 done clear
  D)
  Rs. 22.60 done clear
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• question_answer22)
  A mixture of certain quantity of milk with 8 L of water is worth 45 paise/L. If pure milk be worth 54 paise/L, how much milk is there in the mixture?
  A)
  40 L done clear
  B)
  35 L done clear
  C)
  25 L done clear
  D)
  45 L done clear
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• question_answer23)
  The ratio of milk and water mixture 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)
  First done clear
  B)
  Second done clear
  C)
  Third done clear
  D)
  Fourth done clear
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• question_answer24)
  A merchant has 2000 kg of rice, one part of which he sells at 36% profit and the rest at 16% profit. He gains 28% on the whole. Find the quantity sold at 16%.
  A)
  400 kg done clear
  B)
  300 kg done clear
  C)
  900 kg done clear
  D)
  800 kg done clear
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• question_answer25)
  A trader has 50 kg of pulses, part of which he sells at 8% profit and rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?
  A)
  30 kg done clear
  B)
  35 kg done clear
  C)
  40 kg done clear
  D)
  60 kg done clear
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• question_answer26)
  A person had Rs. 8400. He lent a part of it at 4% and the remaining at \[3\frac{1}{3}%\] simple interest. His total annual income was Rs. 294. Find the sum he lent at 4%.
  A)
  Rs. 2310 done clear
  B)
  Rs. 2110 done clear
  C)
  Rs. 2500 done clear
  D)
  Rs. 2100 done clear
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• question_answer27)
  A merchant had 50 kg of pulse. He sells one part at a profit of 10% and other at 5% loss. Overall he had a gain of 7%. Find the quantity of pulses, which he sold at 10% profit and 5%loss.
  A)
  40 kg, 10 kg done clear
  B)
  40 kg, 15 kg done clear
  C)
  40 kg, 12 kg done clear
  D)
  40 kg, 9 kg done clear
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• question_answer28)
  A goldsmith has two qualities of gold, one of 24 carats and another of 32 carats purity. In what proportion should he mix both to H make an ornament of 30 carats purity?
  A)
  1 : 3 done clear
  B)
  2 : 3 done clear
  C)
  3 : 2 done clear
  D)
  1 : 5 done clear
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