Top180 Mixture And Alligation Questions For 100% Free [Effective]

Navigating the world of competitive exams, a consistent topic that emerges is Mixture and Alligation Questions. It’s hard to miss how these questions feature prominently in the quantitative aptitude sections of numerous Government exams. As you prepare for these tests, you’ll find that understanding Mixture and Alligation Questions is essential for success.

Most candidates preparing for upcoming Government exams often find the section on Mixture and Alligation Questions a tad challenging. While the range is typically 1-3 questions from this topic, they can be slightly tricky to decipher. This makes practicing Mixture and Alligation Questions crucial for those aiming for a high score.

But what exactly are these questions about? Let’s break it down. The concept is rooted in mixtures and alligations. When we talk about a mixture, we refer to the blending of two or more entities. The term alligation, on the other hand, helps us determine the ratio in which these ingredients or items are combined. To succeed in Mixture and Alligation Questions, an understanding of the mixture and alligation formula and the mixture and alligation replacement formula is vital. Moreover, being familiar with the alligation and mixture formula can make the problem-solving process smoother.

For our Hindi-speaking aspirants, this topic is equally critical. Understanding mixture and alligation in hindi or the mixture and alligation meaning in hindi can be advantageous. By doing so, they can better tackle Mixture and Alligation Questions in a language they’re more comfortable with.

In this article, our aim is clear. We want to provide you with a comprehensive understanding of Mixture and Alligation Questions. By delving deep into the concept, important formulas like the mixture and alligation formula, and various problems associated with the topic, we hope to arm you with the knowledge and skills to tackle even the most challenging mixture and alligation problems. Specifically, for those aiming to crack bank exams, focusing on mixture and alligation questions for bank is paramount.

Considering the sectional cut-offs in almost all competitive exams, equal attention must be given to each subject. This is why emphasis on Mixture and Alligation Questions cannot be understated.

Top180 Mixture And Alligation Questions :

51. The ratio of the mixture of milk to water in vessel A is 3 : 2 and the ratio of the mixture of water to milk in vessel B is 1 : 2. If both vessel’s mixtures are mixed together, then find the ratio of the mixture of milk to water in the final mixture?

बर्तन A में दूध से पानी के मिश्रण का अनुपात 3:2 है और बर्तन B में पानी से दूध के मिश्रण का अनुपात 1:2 है। यदि दोनों बर्तनों के मिश्रण को एक साथ मिलाया जाता है, तो अंतिम मिश्रण में दूध से पानी के मिश्रण का अनुपात ज्ञात कीजिये?

A. 9:4
B. 8:5
C. 19:11
D. 10:7
E. None of these

Option “C” is correct.

The ratio of the milk to water in the final mixture = (3/(3 + 2) + 2/(2 + 1)) : (2/(3 + 2) + 1/(2 + 1))

= (3/5 + 2/3) : (2/5 + 1/3)

= (9/15 + 10/15) : (6/15 + 5/15)

= 19/15 : 11/15

= 19 : 11

52. If the vessel A contains mixture of milk and water in the ratio of 4: 3 and vessel B contains 60 litres of mixture of milk and water in the ratio of 7: 5. If the vessel A and B mixture is mixed, then the ratio of the milk to water becomes 11: 8, then find the initial quantity of vessel A?

यदि बर्तन A में 4 : 3 के अनुपात में दूध और पानी का मिश्रण है और बर्तन B में 7 : 5 के अनुपात में 60 लीटर दूध और पानी का मिश्रण है। यदि बर्तन A और B का मिश्रण मिलाया जाता है, तो दूध और पानी का अनुपात 11 : 8 हो जाता है, तो बर्तन A की प्रारंभिक मात्रा ज्ञात कीजिये?

A. 35 litres
B. 28 litres
C. 56 litres
D. 63 litres
E. None of these

Option “A” is correct.

Milk in vessel B = 7/12 * 60 = 35 liters

Water in vessel B = 5/12 * 60 = 25 liters

Let us take the quantity of mixture in vessel A be x

(4x / 7 + 35) / (3x / 7 + 25) = 11/8

33x / 7 + 275 = 32x / 7 + 280

x / 7 = 5

x = 35 litres

53. There are two vessels A and B and the capacity of both vessels are equal. Vessel A contains the mixture of milk and water in the ratio of 5:4 and vessel B contains the mixture of milk and water in the ratio of 3:2. If the mixtures of both vessels are mixed, then what is the ratio of the milk and water in the final solution?

दो बर्तन A और B हैं और दोनों बर्तनों की क्षमता बराबर है। बर्तन A में दूध और पानी का मिश्रण 5 : 4 के अनुपात में निहित है और बर्तन B में दूध और पानी का मिश्रण 3 : 2 के अनुपात में निहित है। यदि दोनों बर्तनों के मिश्रणों को मिश्रित किया गया है, तो अंतिम मिश्रण में दूध और पानी का अनुपात क्या है?

A. 26:19
B. 24:17
C. 27:20
D. 28:13
E. None of these

Option “A” is correct.

Milk in vessel A = 5x / 9

Water in vessel A = 4x / 9

Milk in vessel B = 3x / 5

Water in vessel B = 2x / 5

Required ratio = (5x / 9 + 3x / 5) : (4x / 9 + 2x / 5)

= (25x + 27x) : (20x + 18x)

= 52 : 38

= 26 : 19

54. Total quantity of the mixture of oil and water in vessel A and B together is 175 liters. The quantity of water in vessel B is 30 liters more than the quantity of water in vessel A. The ratio of amount of oil to water in vessel B is 1:3 and the quantity of oil in vessel A is 30 liters. What is the ratio of the quantity of mixture of A to B?

एक साथ बर्तन A और B में तेल और पानी के मिश्रण की कुल मात्रा 175 लीटर है। बर्तन B में पानी की मात्रा, बर्तन A में पानी की मात्रा से 30 लीटर अधिक है। बर्तन B में तेल तथा पानी की मात्रा का अनुपात 1 : 3 है और बर्तन A में तेल की मात्रा 30 लीटर है। A तथा B के मिश्रण की मात्रा का अनुपात क्या है?

A. 1:2
B. 2:3
C. 4:5
D. 3:4
E. None of these

Option “D” is correct.

Quantity of water in vessel A = x

Quantity of water in vessel B = x + 30

Oil in vessel A = 30 liters

Quantity of oil in vessel B = 175 – (30 + x + x + 30)

= 115 – 2x

(115 – 2x) / (x + 30) = 1/3

x + 30 = 345 – 6x

7x = 315

x = 45

Quantity of oil in vessel B = 115 – 90 = 25

Quantity of water in vessel B = 3/1 * 25 = 75

Required ratio = (30 + 45) : (25 + 75)

= 75 : 100

= 3 : 4

55. Two vessels contain a mixture of milk and water. The vessel A contains 120 liters of mixture and the ratio of milk and water is 2:1 and the ratio of milk and water in vessel B is 3:2. If both vessel’s mixtures are mixed, then the ratio of milk and water becomes 7:4, then find the total quantity of mixture in vessel B?

दो बर्तनों में दूध और पानी का मिश्रण है। बर्तन A में 120 लीटर मिश्रण है और दूध और पानी का अनुपात 2:1 है और बर्तन B में दूध और पानी का अनुपात 3:2 है। यदि दोनों बर्तन के मिश्रण को मिला दिया जाता है, तो दूध और पानी का अनुपात 7:4 हो जाता है, तो बर्तन B में मिश्रण की कुल मात्रा ज्ञात कीजिये?

A. 80 liters
B. 150 liters
C. 90 liters
D. 100 liters
E. None of these

Option “D” is correct.

Milk in vessel A = 120 * 2 / (2+1) = 80 liters

Water in vessel A = 120 – 80 = 40 liters

Milk in vessel B = 3x

Water in vessel B = 2x

(80 + 3x) / (40 + 2x) = 7/4

320 + 12x = 280 + 14x

2x = 40

x = 20 liters

The total quantity of mixture in vessel B = (3 + 2) *20 = 100 liters

56. Vessel A contains 270 liters of mixture of oil and water in the ratio of 5:4 and vessel B contains mixture of oil and water in the ratio of 3:2. If vessel A and B mixed together, then the ratio of the oil and water becomes 15:11, find the initial quantity of oil in vessel B?

बर्तन A में तेल और पानी का मिश्रण 5:4 के अनुपात में 270 लीटर है और बर्तन B में 3:2 के अनुपात में तेल और पानी का मिश्रण है। यदि बर्तन A और B को एक साथ मिलाया जाता है, तो तेल और पानी का अनुपात 15:11 हो जाता है, बर्तन B में तेल की प्रारंभिक मात्रा ज्ञात कीजिये?

A. 120 liters
B. 150 liters
C. 180 liters
D. 90 liters
E. None of these

Option “B” is correct.

Oil in A = 270 * 5 / 9 = 150

Water in A = 270 * 4 / 9 = 120

(3x + 150) / (120 + 2x) = 15 / 11

1800 + 30x = 33x + 1650

x = 50

Initial quantity of oil in B = 3 * 50 = 150 liters

57. Vessel A contains 40% milk in water and Vessel B contains apple juice in water. If two vessels A and B mixture mixed in the ratio of 2:3, after adding 20 liters of milk in the final mixture, then the ratio of milk, apple juice and water becomes 8:5:16. What is the quantity of apple juice in vessel B?

बर्तन A में 40% दूध और शेष पानी निहित है और बर्तन B में सेब का रस और शेष पानी निहित है। यदि दोनों बर्तनों A और B के मिश्रण को 2: 3 के अनुपात में मिश्रित किया गया है, फिर अंतिम मिश्रण में 20 लीटर दूध को मिलाया गया, तो दूध, सेब के रस और पानी का अनुपात 8: 5: 16 हो जाता है। बर्तन B में सेब के रस की मात्रा क्या है?

A. 20 liters
B. 25 liters
C. 30 liters
D. 40 liters
E. None of these

Option “B” is correct.

Total quantity of vessel A = 5x

Quantity of milk in vessel A = 5x * 40/100 = 2x

Quantity of water in vessel A = 5x * 60/100 = 3x

Total quantity of vessel B = 5x * 3/2 = 15x/2

Quantity of apple juice in vessel B = y

Quantity of water in vessel B = 7.5x – y

2x + 20 : y : (7.5x – y + 3x) = 8 : 5 : 16

y/(10.5x – y) = 5/16

16y = 52.5x – 5y

21y = 52.5x

2y = 5x

2x + 20/y = 8/5

8y = 10x + 100

20x = 10x + 100

10x = 100

x = 10

Quantity of apple juice = 50/2 = 25 liters

58. Three vessels contain equal mixtures of acid and water in the ratio 4: 3, 5: 2 and 3: 1 respectively. If all the solutions are mixed together, the ratio of water to acid in the final mixture will be

तीन बर्तनों में अम्ल और पानी के समान मिश्रण क्रमशः 4: 3, 5: 2 और 3: 1 के अनुपात में हैं। यदि सभी मिश्रणों को एक साथ मिश्रित किया गया है, तो अंतिम मिश्रण में पानी से अम्ल का अनुपात ____ होगा|

A. 9: 19
B. 7: 17
C. 19: 9
D. 17: 7
E. 21: 11

Option “A” is correct.

Total quantity of acid = 4/7 + 5/7 + 3/4

= 57/28

Total quantity of water = 3/7 + 2/7 + 1/4

= 27 / 28

Ratio of water to acid in the final mixture =27: 57= 9: 19

59. Ratio of the mixture of milk and water in Jar A is 3:2 and the ratio of the mixture of milk and water in Jar B is 4:3. If both mixtures are mixed in Jar C, then what is the ratio of the milk and water in Jar C?

जार A में दूध और पानी के मिश्रण का अनुपात 3: 2 है और जार B में दूध और पानी के मिश्रण का अनुपात 4: 3 है। यदि दोनों मिश्रण को जार C में मिश्रित किया जाता हैं, तो जार C में दूध और पानी का अनुपात क्या है?

A. 44:29
B. 41:27
C. 41:29
D. 43:29
E. None of these

Option “C” is correct.

Milk in Jar A = 3/5

Water in Jar A = 2/5

Milk in Jar B = 4/7

Water in Jar B = 3/7

Milk and water in Jar C = (3/5 + 4/7):(2/5 + 3/7)

=(21 + 20):(14 + 15)

= 41:29

60. Jar A contains 60 liters mixture of milk and water in the ratio of 3:2 and Jar B contains 80 liters mixture of milk and water in the ratio of 5:3. What is the ratio of the milk and water when the both Jar’s mixtures are mixed together?

जार A में 3: 2 के अनुपात में 60 लीटर दूध और पानी का मिश्रण है और जार B में 5: 3 के अनुपात में 80 लीटर दूध और पानी का मिश्रण है। जब दोनों जार के मिश्रण को एक साथ मिलाया जाता है तो दूध और पानी का अनुपात क्या है?

A. 11:13
B. 43:27
C. 41:24
D. 5:3
E. None of these

Option “B” is correct.

Milk in Jar A=3/5 * 60=36

Water in Jar A=2/5 * 60=24

Milk in Jar B=5/8 * 80=50

Water in Jar B=3/8 * 80=30

Required ratio=(36 + 50):(24 + 30)

=43:27