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Alligation MCQ Set 1

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ALLIGATION MCQ SET 1

1. Two vessels are full of milk with milk – water ratios 1 : 4 and 3 : 8 , respectively . If both are mixed in the ratio 3 : 2 , what is the ratio of milk and water in the new mixture?

(a) 4 : 15

(b) 3 : 7

(c) 63 : 212

(d) N.O.T

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Answer: C

2. Two mixtures contain milk and water in the ratios 3 : 2 and 4 : 5 . How many litres of the second mixture must be mixed with 3 litres of the first mixture so that the new mixture thus formed contain equal quantities of milk and water ?

(a) 5 ltr

(b) 5.4 ltr

(c) 5.5 ltr

(d) 6 ltr

Show Answer

Answer: B

3. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3ย  respectively . In what ratio , the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water ?

(a) 7 : 5

(b) 5 : 2

(c) 3 : 11

(d) 1 : 2

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Answer: A

4. In two blends of mixed tea , the ratios of Darjeeling and Assam tea are 4 : 7 and 2 : 5 . The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is

(a) 22 : 35

(b) 26 : 35

(c) 35 : 75

(d) 13 : 22

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Answer: A

5. Acid and water are mixed in a vessel A in the ratio of 5 : 2 and in the vessel B in the ratio 8 : 5 . In what proportion should quantities be taken out from the two vessels so as to form a mixture in which the acid and water will be in the ratio of 9 : 4 ?

(a) 7 : 2

(b) 2 : 7

(c) 7 : 4

(d) 2 : 3

Show Answer

Answer: A

6. Solution A contains 10% acid and solution B contains 30% acid . In what ratio should solution A be mixed with Solution B to obtain a mixture with 25% acid ?

(a) 1 : 2

(b) 3ย  1

(c) 1 : 3

(d) 2 : 1

Show Answer

Answer: C

7. Two alloys are both made up of copper and tin . The ratio of copper and tin in the first alloy is 1 : 3ย  and in the second alloy is 2 : 5 . In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ?

(a) 3 : 5

(b) 4 : 7

(c) 3 : 8

(d) 5 : 11

Show Answer

ย Answer: B

8. The ratio of two liquids in a mixture is 3 : 5 and that in another mixture is 6 : 1 . the ratio in which these two mixtures should be mixed so as to make the ratio of the liquid 7 : 3 is

(a) 44 : 71

(b) 44 : 81

(c) 44 : 91

(d) 44 : 61

Show Answer

Answer: C

9. In an alloy 80% is copper and remaining is tin . In another alloy , cooper is 85% and tin is 12% . In what ratio should the two alloy be mixed so that the new mixture must have 15% tin . Also find the percentage of cooper in the new mixture?

(a) 3 : 5

(b) 5 : 3

(c) 2 : 3

(d) 3 : 4

Show Answer

Answer: A

10. If a dairy mixes cow’s milk which contains 10% fat with buffalo’s milk which contains 20% fat , then the resulting mixture has fat 120/7% of fat . What ratio was the cow’s milk mixed with buffalo’s milk?

(a) 2 : 5

(b) 1 : 5

(c) 2 : 3

(d) 2 : 1

Show Answer

Answer: A


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