Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2

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 Multiple Choice QuestionsMultiple Choice Questions

1.

Tea costing Rs. 136 a kilogram is mixed with tea costing Rs. 141 a kilogram in the ratio 2 : 3. The cost of one kilogram of the mixture is

  • Rs. 138

  • Rs. 138.50

  • Rs. 139

  • Rs. 139

248 Views

2.

A tradesman, who was selling one kind of tea at Rs. 96 per kg with a loss of 20% and another kind at Rs. 140 per kg with a gain of 25% mixes the two together in equal ratio. He sells the mixed tea at Rs. 174 per kg. His gain is

  • 50%

  • 45%

  • 30%

  • 30%

249 Views

3.

The percentage of metals in mine of lead ore is 60%. Now, the percentage of silver is 3 over 4 percent sign of metals and the rest is lead. If the mass of ore extracted from this mine is 8000 kg, the mass (in kg) of lead is

  • 4763

  • 4764

  • 4762

  • 4762

392 Views

4.

Two alloys contain tin and iron in the ratio of 1:2 and  2:3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is

  • 13:22

  • 14:25

  • 10:21

  • 10:21

1447 Views

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5.

In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is

  • 3 : 2

  • 2 : 3

  • 3 : 4

  • 3 : 4

1538 Views

6.

An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the whole army is 5ft  inches. Then the number of Indians in the army is

  • 3000

  • 4000

  • 5500

  • 5500

1078 Views

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7.

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture?

  • 7 : 13

  • 11 : 57

  • 23 : 37

  • 23 : 37


A.

7 : 13

straight V subscript 1 space equals space fraction numerator 2 straight x over denominator 5 end fraction colon space space fraction numerator 3 straight x over denominator 5 end fraction comma space space space space space space straight V subscript 2 space equals space fraction numerator 1 straight x over denominator 3 end fraction space colon space fraction numerator 2 straight x over denominator 3 end fraction
Mixed ratio = 1 : 3
 Acid space space equals space 1 space cross times space fraction numerator 2 straight x over denominator 5 end fraction space plus space 3 space cross times space fraction numerator 1 straight x over denominator 3 end fraction space equals space fraction numerator 2 straight x over denominator 5 end fraction plus fraction numerator 1 straight x over denominator 1 end fraction space equals space fraction numerator 7 straight x over denominator 5 end fraction
Water space equals space 1 space cross times fraction numerator 3 straight x over denominator 5 end fraction space plus space 3 space cross times space fraction numerator 2 straight x over denominator 3 end fraction space equals space fraction numerator 3 straight x over denominator 5 end fraction plus fraction numerator 6 straight x over denominator 3 end fraction space equals space fraction numerator 13 straight x over denominator 5 end fraction
so, Acid  : Water would be: 7 : 13
 
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8.

Two types of tea costing ₹ 180 per kg and ₹ 280 per kg should be mixed in the ratio so that the mixture obtained, sold at ₹ 320 per kg to earn a profit of 20% is

  • 3 : 13

  • 1 : 13

  • 4 : 13

  • 4 : 13

418 Views

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9.

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

  • 28 : 41

  • 41 : 28

  • 15 : 41

  • 15 : 41

1129 Views

10.

20 litres of a mixture contains 20% alcohol and the rest water. If 4 litres of water be mixed in it, the percentage of alcohol in the new mixture will be

  • 33 1 third percent sign
  • 16 2 over 3 percent sign
  • 25%

  • 25%

378 Views

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