Three containers have their volumes in the ratio of 3 : 4 : 5. T

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 Multiple Choice QuestionsMultiple Choice Questions

11.

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 wil be

  • 5 : 7

  • 5 : 9

  • 7 : 5

  • 7 : 5

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12.

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

  • 4 : 15

  • 9 : 8

  • 21 : 8

  • 21 : 8

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13.

A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?

  • 25

  • 30

  • 35

  • 35

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14.

A mixture contains 80% acid and rest water. Part of the mixture that should be removed and replaced by same amount of water to make the ratio of acid and water 4 : 3 is

  • 1 third rd
  • 3 over 7 th
  • 2 over 3 rd
  • 2 over 3 rd
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15.

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.

  • 2 : 1

  • 1 : 2

  • 4 : 1

  • 4 : 1

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16.

300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?

  • 40 gram

  • 10 gram

  • 60 gram

  • 60 gram

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17.

Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate of Rs. 55 per kg. the profit percent is

  • 50

  • 30

  • 40

  • 40

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18.

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

  • 53 kg

  • 44 kg

  • 80 kg

  • 80 kg

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19.

Three glasses of equal volume contains acid mixed with water. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is

  • 411 : 540

  • 401 : 544

  • 417 : 564

  • 417 : 564

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20.

Three containers have their volumes in the ratio of 3 : 4 : 5. They are full of mixtures of Milk and Water in the ratio of 4:1, 3:1 and 5:2 respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container will be

  • 4 : 1

  • 151 : 48

  • 157 : 53

  • 157 : 53


C.

157 : 53

Let the volumes of three containers be 3 litres, 4 litres and 5 litres respectively.
Container - I
Milkequals space fraction numerator 4 space cross times space 3 over denominator 5 end fraction space equals space 12 over 5 space litres.
Water = 3 over 5 space litre
Container - II
Milk equals space fraction numerator 4 space cross times space 3 over denominator 4 end fraction space equals space 3 space litres
Water = 1 litre

Container - III
Milk = fraction numerator 5 space cross times space 5 over denominator 7 end fraction space equals space 25 over 7 space litres
Water = 10 over 7 space litres
∴ Required ratio in container-IV
equals space open parentheses 12 over 5 plus 3 plus 25 over 7 close parentheses space colon space open parentheses 3 over 5 plus 1 plus space 10 over 7 close parentheses
equals space open parentheses fraction numerator 84 plus 105 plus 125 over denominator 35 end fraction close parentheses space colon space open parentheses fraction numerator 21 plus 35 plus 50 over denominator 35 end fraction close parentheses
equals space 314 over 35 space colon space 106 over 35
equals space 157 space colon space 53


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