Quantitative Aptitude
Mixtures and Alligation
1,816 Questions
Mixtures and Alligation Questions
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Option 1
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Option 2
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Option 3
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Option 4
D
Correct answer
Explanation
Ethanol fractions are 5/7 in A, 7/13 in B, target 8/13. Alligation gives the ratio (8/13 - 7/13) : (5/7 - 8/13) = (1/13) : (9/91) = 7 : 9. This matches option D.
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12.5%
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25%
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37.5%
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50%
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62.5%
D
Correct answer
Explanation
Interpreting the initial ratio as milk to water = 3:2, the 25 litres contain 15 litres milk and 10 litres water. Equalizing the quantities requires x = 5 litres of water, and restoring the original ratio requires y = 7.5 litres of milk, which is 50% more than x.
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96 L
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88 L
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108 L
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72 L
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84 L
A
Correct answer
Explanation
Mixture A: 3 parts, M:W = 4:5 (4/9 milk). Mixture B: 4 parts, M:W = 5:7 (5/12 milk). Total milk = 3*(4/9) + 4*(5/12) = 4/3 + 5/3 = 3 parts. Total water = 3*(5/9) + 4*(7/12) = 5/3 + 7/3 = 4 parts. If 3 parts = 72 L, 1 part = 24 L. Water = 4 parts = 96 L.
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75 litres
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60 litres
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65 litres
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80 litres
A
Correct answer
Explanation
Initial milk = 50L, water = 25L. Let x be water added. New ratio: 50 / (25 + x) = 1/2. So 100 = 25 + x, which means x = 75.
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a) 45 liters
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b) 40 liters
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c) 35 liters
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d) 30 liters
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e) 25 liters
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(a) 17 10/11%
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(b) 18 10/11 %
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(c) 16 10 / 11%
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(d) 1910 / 11%
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(e) 2010 / 11%
B
Correct answer
Explanation
The first mixture contains 2 x 15% = 0.3 gallons of water, and the second contains 3 x 8% = 0.24 gallons. Adding 0.5 gallons of water gives 1.04 gallons of water in 5.5 gallons of mixture. The percentage is 1.04/5.5 x 100 = 18 10/11%.
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(a) 30%
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(b) 33.33%
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(c) 20%
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(d) 32.5%
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(e) 66.67%
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(a) 108L
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(b) 72L
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(c) 80L
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(d) 96L
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(e) 84L
D
Correct answer
Explanation
The formula for replacement is: Final quantity of beer / Initial quantity = (1 - x/V)^n. Here, 125/216 = (1 - 16/V)^3. Taking the cube root, 5/6 = 1 - 16/V. Thus, 16/V = 1/6, so V = 96L.
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(a) 77L
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(b) 44L
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(c) 55L
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(d) 66L
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(e) 33L
C
Correct answer
Explanation
Let initial quantity be 11x. Milk = 7x, Water = 4x. Remove 11L: Milk removed = 7/11 * 11 = 7, Water removed = 4. Remaining: Milk = 7x - 7, Water = 4x - 4. Add 4L milk: Milk = 7x - 3, Water = 4x - 4. Ratio (7x-3)/(4x-4) = 2/1. 7x - 3 = 8x - 8. x = 5. Initial quantity = 11 * 5 = 55L.
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(a) 2 : 5
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(b) 3 : 5
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(c) 1 : 3
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(d) 2 : 3
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(e) 4 : 5
C
Correct answer
Explanation
Using alligation on alcohol: Vessel A has 5/8 alcohol, Vessel B has 1/4 (2/8) alcohol. Target is 11/32. (11/32 - 8/32) : (20/32 - 11/32) = 3/32 : 9/32 = 3:9 = 1:3.
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1.50 kg
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1.30 kg
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1.40 kg
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1.25 kg
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1.75 kg
D
Correct answer
Explanation
Formula for remaining amount: A = P(1 - r/100)^n. Here, A = 512, r = 20, n = 4. 512 = P(1 - 0.2)^4 = P(0.8)^4 = P(0.4096). P = 512 / 0.4096 = 1250 grams = 1.25 kg.
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9.5 litres
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2 litres
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1 7/11 litres
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1 4/11 litres
D
Correct answer
Explanation
Total volume = 8.1 + 36.9 = 45.0 liters. The percentage of milk is (8.1 / 45.0) * 100 = (81 / 450) * 100 = (9 / 50) * 100 = 18%.
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6.5
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8
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7.5
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12.5
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None of these
C
Correct answer
Explanation
Ratio A:B:C = 2:3:5. If A = 3 pounds, then 2 parts = 3, so 1 part = 1.5. C = 5 parts = 5 * 1.5 = 7.5 pounds.
A
Correct answer
Explanation
Ratio A:B = 11:9. Weight of B = 32.4 kg. So 9 units = 32.4 kg, 1 unit = 3.6 kg. Weight of A = 11 units = 11 * 3.6 = 39.6 kg.