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
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11.
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
5 : 2
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12.
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
40
328 Views
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13.
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
407 : 560
910 Views
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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 7 th
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15.
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
24 kg
853 Views
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16.
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
20
517 Views
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17.
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
9 : 5
528 Views
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18.
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
1 : 2
C.
21 : 8
Shortcut Method:
rightwards double arrow space space space open parentheses 7 over 10 minus 2 over 5 close parentheses space colon space open parentheses 2 over 7 minus 2 over 5 close parentheses
rightwards double arrow space space space open parentheses fraction numerator 7 minus 4 over denominator 10 end fraction close parentheses space colon space open parentheses fraction numerator 10 minus 14 over denominator 35 end fraction close parentheses
rightwards double arrow space space space space 3 over 10 space colon space 4 over 35 space equals space 21 space colon space 8
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19.
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
1 : 4
1305 Views
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20.
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
80 gram
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Answer
Answer:
(7/10-2/5). : (2/5-2/7)
3/10 : 4/35 =21:8