This set of Aptitude Questions and Answers (MCQs) focuses on “Alligation or Mixture – Set 3”.
1. A mixture containing 20% milk is mixed with another mixture containing 60% milk in the ratio 8 : 13. Find the percentage of milk in the new mixture.
a) 37.14%
b) 36.65%
c) 35.57%
d) 34.24%
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Explanation: The mixtures are mixed in a ratio 8 : 13.
Let the quantities of the mixture mixed be 800 litres and 1300 litres.
The amount of milk in the final mixture = 800 * 20 / 100 + 1300 * 60 / 100 = 160 + 780 litres
The total quantity of the mixture formed = 1300 + 800 = 2100 litres
The amount of milk = 780 / 2100 * 100 = 37.14%
2. A mixture containing 66% of acid is mixed with another mixture containing 35% of acid in the ratio 2 : 5. Find the percentage of acid in the mixture formed.
a) 45%
b) 46%
c) 47%
d) 48%
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Explanation: The mixture is mixed in a ratio 2 : 5.
Let the quantities of mixtures mixed be 200 and 500 litres, respectively.
The amount of acid in the mixture so formed = 200 * 66 / 100 + 500 * 35 / 100 = 132 + 175 = 307 litres
The percentage of acid in the mixture = 307 / 700 * 100 = 45.85% ≈ 46%
3. A mixture containing 75% of oil is mixed with another mixture containing 88% oil in the ratio 1 : 4. Find the percentage of oil in the mixture formed.
a) 84.5%
b) 85.4%
c) 85.5%
d) 84.4%
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Explanation: The mixture is mixed in a ratio 1 : 4.
Let the quantities of mixtures mixed be 100 and 400 litres, respectively.
The amount of oil in the mixture formed = 75 * 100 / 100 + 88 * 400 / 100 = 75 + 352 = 427 litres
The percentage of oil in the mixture formed = 427 / 500 * 100 = 85.4%
4. A mixture containing 33% of ethanol is mixed with another mixture containing 98% ethanol in the ratio 7 : 3. Find the percentage of ethanol in the mixture formed.
a) 55.2%
b) 52.5%
c) 52.2%
d) 55.5%
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Explanation: The mixture is mixed in a ratio 7 : 3.
Let the quantities of mixtures mixed be 700 and 300 litres, respectively.
The amount of ethanol in the mixture formed = 700 * 33 / 100 + 300 * 98 / 100 = 231 + 294 = 525 litres
The percentage of ethanol in the mixture so formed = 525 / 1000 * 100 = 52.5%
5. A mixture containing 27% of milk is mixed with another mixture containing 68% milk in the ratio 1 : 13. Find the percentage of milk in the mixture formed.
a) 65%
b) 66%
c) 67%
d) 68%
View Answer
Explanation: The mixture is mixed in a ratio 1 : 13.
Let the quantities of mixtures mixed be 100 and 1300 litres, respectively.
The amount of milk in the mixture formed = 100 * 27 / 100 + 1300 * 68 / 100 = 27 + 884 = 911 litres
The percentage of milk in the mixture so formed = 911 / 1400 * 100 = 65.07% ≈ 65%
6. A mixture containing 41% of acid is mixed with another mixture containing 80% acid in the ratio 9 : 8. Find the percentage of acid in the mixture formed.
a) 59%
b) 58%
c) 57%
d) 56%
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Explanation: The mixture is mixed in a ratio 9 : 8.
Let the quantities of mixtures mixed be 900 and 800 litres, respectively.
The amount of acid in the mixture formed = 900 * 41 / 100 + 800 * 80 / 100 = 369 + 640 = 1009 litres
The percentage of acid in the mixture so formed = 1009 / 1700 * 100 = 59.35% ≈ 59%
7. A mixture containing 63% of oil is mixed with another mixture containing 89% oil in the ratio 1 : 11. Find the percentage of oil in the mixture formed.
a) 86%
b) 87%
c) 88%
d) 89%
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Explanation: The mixture is mixed in a ratio 1 : 11.
Let the quantities of mixtures mixed be 100 and 1100 litres, respectively.
The amount of oil in the mixture formed = 100 * 63 / 100 + 1100 * 89 / 100 = 63 + 979 = 1042 litres
The percentage of oil in the mixture so formed = 1042 / 1200 * 100 = 86.83% ≈ 87%
8. A mixture containing 40% of ethanol is mixed with another mixture containing 60% ethanol in the ratio 1 : 1.4. Find the percentage of ethanol in the mixture formed.
a) 52%
b) 55%
c) 57%
d) 59%
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Explanation: The mixture is mixed in a ratio 1 : 1.4.
Let the quantities of mixtures mixed be 100 and 140 litres, respectively.
The amount of ethanol in the mixture formed = 100 * 40 / 100 + 140 * 60 / 100 = 40 + 84 = 124 litres
The percentage of ethanol in the mixture so formed = 124 / 240 * 100 = 51.66% ≈ 52%
9. A mixture containing 13% of ethanol is mixed with another mixture containing 31% ethanol in the ratio 13 : 31. Find the percentage of ethanol in the mixture formed.
a) 26%
b) 25%
c) 22%
d) 18%
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Explanation: The mixture is mixed in a ratio 13 : 31.
Let the quantities of mixtures mixed be 1300 and 3100 litres, respectively.
The amount of ethanol in the mixture formed = 1300 * 13 / 100 + 3100 * 31 / 100 = 169 + 961 = 1130 litres
The percentage of ethanol in the mixture so formed = 1130 / 4400 * 100 = 25.681% ≈ 26%
10. A mixture containing 55% of milk is mixed with another mixture containing 99% milk in the ratio 8 : 1. Find the percentage of milk in the mixture formed.
a) 53%
b) 50%
c) 55%
d) 60%
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Explanation: The mixture is mixed in a ratio 8 : 1.
Let the quantities of mixtures mixed be 800 and 100 litres, respectively.
The amount of milk in the mixture formed = 800 * 55 / 100 + 100 * 99 / 100 = 440 + 99 = 539 litres
The percentage of milk in the mixture so formed = 539 / 900 * 100 = 59.88% ≈ 60%
11. A mixture containing 57% of oil is mixed with another mixture containing 28% oil in the ratio 4 : 1. Find the percentage of oil in the mixture formed.
a) 51%
b) 53%
c) 55%
d) 57%
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Explanation: The mixture is mixed in a ratio 4 : 1.
Let the quantities of mixtures mixed be 400 and 100 litres, respectively.
The amount of oil in the mixture formed = 57 * 400 / 100 + 28 * 100 / 100 = 228 + 28 = 256 litres
The percentage of oil in the mixture formed = 256 / 500 * 100 = 51.2% ≈ 51%
12. A mixture containing 42% of ethanol is mixed with another mixture containing 27% ethanol in the ratio 1 : 1. Find the percentage of ethanol in the mixture formed.
a) 34.2%
b) 34.5%
c) 35.2%
d) 32.5%
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Explanation: The mixture is mixed in a ratio 1 : 1.
Let the quantities of mixtures mixed be 100 and 100 litres, respectively.
The amount of ethanol in the mixture formed = 100 * 42 / 100 + 100 * 27 / 100 = 42 + 27 = 69 litres
The percentage of ethanol in the mixture so formed = 69 / 200 * 100 = 34.5%
13. A mixture containing 97% of milk is mixed with another mixture containing 19% milk in the ratio 21 : 11. Find the percentage of milk in the mixture formed.
a) 65%
b) 66%
c) 67%
d) 70%
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Explanation: The mixture is mixed in a ratio 21 : 11.
Let the quantities of mixtures mixed be 2100 and 1100 litres, respectively.
The amount of milk in the mixture formed = 2100 * 97 / 100 + 1100 * 19 / 100 = 2037 + 209 = 2246 litres
The percentage of milk in the mixture so formed = 2246 / 3200 * 100 = 70.1875% ≈ 70%
14. A mixture containing 46% of acid is mixed with another mixture containing 77% acid in the ratio 7 : 11. Find the percentage of acid in the mixture formed.
a) 65%
b) 68%
c) 69%
d) 70%
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Explanation: The mixture is mixed in a ratio 7 : 11.
Let the quantities of mixtures mixed be 700 and 1100 litres, respectively.
The amount of acid in the mixture formed = 700 * 46 / 100 + 1100 * 77 / 100 = 322 + 847 = 1169 litres
The percentage of acid in the mixture so formed = 1169 / 1800 * 100 = 64.94% ≈ 65%
15. A mixture containing 84% of oil is mixed with another mixture containing 57% oil in the ratio 9 : 23. Find the percentage of oil in the mixture formed.
a) 66%
b) 67%
c) 68%
d) 69%
View Answer
Explanation: The mixture is mixed in a ratio 9 : 23.
Let the quantities of mixtures mixed be 900 and 2300 litres, respectively.
The amount of oil in the mixture formed = 900 * 84 / 100 + 2300 * 57 / 100 = 756 + 1311 = 2067 litres
The percentage of oil in the mixture so formed = 2067 / 3100 * 100 = 66.67% ≈ 67%
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