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 :

61. Vessel A contains the mixture of milk and water in the ratio of 3:2 and vessel B contains the mixture of milk and water and the quantity of water in vessel B is 20 liters less than that of A. If the total quantity of vessel A and B is 240 liters, then find the quantity of vessel A?

बर्तन A में दूध और पानी का मिश्रण 3:2 के अनुपात में है और बर्तन B में दूध और पानी का मिश्रण है और बर्तन B में पानी की मात्रा A से 20 लीटर कम है। यदि बर्तन A और B की कुल मात्रा 240 लीटर है, तो बर्तन A की मात्रा ज्ञात कीजिए?

A. 150
B. 120
C. 180
D. 200
E. Cannot be determined

Option “E” is correct.

Milk in vessel A = 3x

Water in vessel A = 2x

Water in vessel B = 2x – 20

We don’t know the quantity of milk in vessel B.

62. In three mixtures, water and spirit is in the ratio of 2: 3, 1: 3 and 2: 5 respectively. If all three mixtures are mixed in the ratio of 1: 3: 2 respectively, then what will be the ratio of water and spirit in the resulting mixture?

तीन मिश्रणों में, पानी और स्पिरिट क्रमशः 2: 3, 1: 3 और 2: 5 के अनुपात में है। यदि सभी तीन मिश्रण क्रमश: 1: 3: 2 के अनुपात में मिश्रित किये जाते हैं, तो परिणामी मिश्रण में पानी और स्पिरिट का अनुपात क्या होगा?

A. 135:537
B. 251:632
C. 187:512
D. 241:599
E. 155:487

Option “D” is correct.

Let the volume of three mixtures be n, 3n and 2n liter respectively.

Hence volume of water in the resulting mixture = (n * 2/5 + 3n * 1/4 + 2n * 2/7)

= 2n/5 + 3n/4 + 4n/7 = 241n/140

Volume of spirit in the resulting mixture = (n * 3/5 + 3n * 3/4 + 2n * 5/7)

= 3n/5 + 9n/4 + 10n/7 = 599n/140

Therefore required ratio = 241n/140: 599n/140 = 241: 599

63. There are 35 students in the class. Rs.2175 is distributed among them so that each boy gets Rs.50 and each girl gets Rs.75. If each boy gets Rs.75 and each girl gets Rs.50, then find the amount distributed among the students?

कक्षा में 35 विद्यार्थी हैं। उनमें 2175 रुपये वितरित किए जाते हैं ताकि प्रत्येक लड़के को 50 रुपये और प्रत्येक लड़की को 75 रुपये मिले। यदि प्रत्येक लड़के को 75 रुपये और प्रत्येक लड़की को 50 रुपये मिलते हैं, तो विद्यार्थियों के बीच वितरित की गई राशि ज्ञात कीजिए?

A. Rs.4400
B. Rs.2200
C. Rs.2500
D. Rs.2400
E. None of these

Option “B” is correct.

Let the number of boys and the number of girls be ‘x’ and ‘y’ respectively

x+y = 35 —-(i)

50x+75y = 2175

Dividing by 25,

2x+3y = 87 —-(ii)

Solving (i) and (ii)

x=18

y=17

Number of boys = 18

Number of girls = 17

Required amount = (18*75) + (17*50) = Rs.1350 + 850 = Rs.2200

64. Jar A contains the mixture of milk and water in the ratio of 3:1 and Jar B contains 50 liters mixture of milk and water in the ratio of 2:3. Jar A and Jar B mixed in Jar C and then the mixture of milk and water in Jar C is in the ratio of 13:9. What is the quantity of Jar C?

जार A में दूध और पानी का मिश्रण 3:1 के अनुपात में है और जार B में दूध और पानी का 50 लीटर मिश्रण 2:3 के अनुपात में है। जार A और जार B को जार C में मिलाया जाता है और फिर जार C में दूध और पानी का मिश्रण 13:9 के अनुपात में होता है। जार C की मात्रा क्या है?

A. 80 liters
B. 100 liters
C. 90 liters
D. 110 liters
E. None of these

Option “D” is correct.

Milk in Jar A=3x

Water in Jar A=x

Milk in Jar B=2/5 * 50=20 liters

Water in Jar B=3/5 * 50=30 liters

(3x + 20)/(x + 30)=13/9

27x + 180=13x + 390

14x=210

x=15 liters

Total quantity of Jar A=4 * 15=60 liters

Total quantity of Jar C=60 + 50=110 liters

65. Box A contains a mixture of turmeric and Chilli powder in the ratio of 7:5 and box B contains 88 grams mixture of Chilli and Coriander powder in the ratio of 5:6. If 60% of the Chilli powder and 50% of the turmeric powder is taken out from A and 62.5% of the Coriander powder and 45% of the Chilli powder is taken out from B and they are mixed to box C, then the ratio of Chilli, turmeric and coriander powder in C is 12:7:10. Find the initial quantity of box A?

बॉक्स A में हल्दी और मिर्च पाउडर का मिश्रण 7:5 के अनुपात में है और बॉक्स B में 88 ग्राम मिर्च और धनिया पाउडर का मिश्रण 5:6 के अनुपात में है। यदि A से 60% मिर्च पाउडर और 50% हल्दी पाउडर निकाल लिया जाता है और B से 62.5% धनिया पाउडर और 45% मिर्च पाउडर निकाल लिया जाता है और उन्हें बॉक्स C में मिला दिया जाता है, तो C में मिर्च, हल्दी और धनिया पाउडर का अनुपात 12:7:10 है। बॉक्स A की प्रारंभिक मात्रा ज्ञात कीजिए?

A. 60
B. 72
C. 48
D. 84
E. 96

Option “B” is correct.

Chilli powder taken out from A = 5x/12 * 60/100 = x/4

Turmeric powder taken out from A = 7x/12 * 50/100 = 7x/24

Chill powder taken from B = 5/11 * 88 * 45/100 = 18 grams

Coriander powder taken from B = 6/11 * 88 * 62.5/100 = 30

(x/4 + 18)/30 = 12/10

180 = 5x/4 + 90

x = 72

66. Two Jars A and B which contains mixture of Milk and Water in the ratio of 4:3 and 1:2 respectively. The Mixture of both Jars is mixed to obtain a mixture of 200 litres, in which quantity of water is 120 litres. Find the ratio of the quantity of mixture in Jar A to quantity of mixture in Jar B?

दो जार A और B जिसमें दूध और पानी का मिश्रण क्रमशः 4:3 और 1:2 के अनुपात में है। दोनों जार के मिश्रण को 200 लीटर का मिश्रण प्राप्त करने के लिए मिलाया जाता है, जिसमें पानी की मात्रा 120 लीटर है। जार A में मिश्रण की मात्रा से जार B में मिश्रण की मात्रा का अनुपात ज्ञात कीजिए?

A. 7:18
B. 6:19
C. 5:21
D. 9:23
E. None of these

Option “A” is correct.

A+B=200 ————– (1)

3A/7+2B/3=120

9A+14B=2520 ——— (2)

(1)*9-(2)

-5B=-720

B=144

A=200-144=56

Required ratio=56:144=7:18

67. The Jar contains 125 litre of the mixture of wine and beer, the ratio of wine and beer is 4:1. 20% of the mixture is removed and added the b litre of beer, the ratio of the wine and beer becomes 1:4. Then w litre of wine added to the mixture, the ratio of the wine and beer becomes 4:1. What is the difference between b and w?

जार में वाइन और बीयर का 125 लीटर मिश्रण है, वाइन और बीयर का अनुपात 4:1 है। मिश्रण का 20% निकाल दिया जाता है और b लीटर बियर मिला दी जाती है, तो वाइन और बियर का अनुपात 1:4 हो जाता है। फिर मिश्रण में w लीटर वाइन मिला दी जाती है, तो वाइन और बीयर का अनुपात 4:1 हो जाता है। b और w में क्या अंतर है?

A. 900 litres
B. 800 litres
C. 1200 litres
D. 600 litres
E. None of these

Option “A” is correct.

20% of the mixture=125*20/100=25 litres

Remaining =125-25=100 litres

Wine=100*4/5=80 litres

Beer=100*1/5=20 litres

80/(20+b)=1/4

320=20+b

b=300 litres

Now the new mixture wine=80 litre and beer=20+300=320 litres

(80+w)/320=4/1

1280=80+w

W=1200 litres

Difference=1200-300=900 litres

68. A vessel contains 400 lit of mixture A consisting of milk and water. 120 lit of this mixture is taken out and mixed with quantity of another mixture B is equal to 150% of mixture of A present in the vessel initially, containing milk and water in the ratio of 3: 2. The quantity of Milk in the mixture A was 60% of the quantity of water in mixture A. Now, 32 Lit of mixture is drawn from final mixture, what is the quantity of water in this quantity of mixture drawn?

एक बर्तन में 400 लीटर मिश्रण A है जिसमें दूध और पानी है। इस मिश्रण का 120 लीटर निकाल लिया जाता है और दूसरे मिश्रण B की मात्रा के साथ मिलाया जाता है, जो शुरू में बर्तन में मौजूद A के मिश्रण के 150% के बराबर होता है, जिसमें दूध और पानी 3: 2 के अनुपात में होता है। मिश्रण A में दूध की मात्रा, मिश्रण A में पानी की मात्रा का 60% था। अब, अंतिम मिश्रण से 32 लीटर मिश्रण निकाला जाता है, निकाले गए मिश्रण की इस मात्रा में पानी की मात्रा कितनी है?

A. 22
B. 24
C. 20
D. 14
E. 16

Option “D” is correct.

Mixture A = 400 lit

The quantity of Milk in the mixture A was 60% of the quantity of water in mixture A

Hence ratio of Milk and water in the mixture A is ‘

60: 100 = 3: 5

Milk = 3/8 * 400 =150

Water = 400 – 150 = 250

Mixture B contains Milk and water in the ratio = 3: 2

Mixture B of quantity equal to 150% of mixture of A present in the vessel initially

Mixture B = 600 Lit

Milk in B = 360 and Water in B = 240

In 120 lit of Mixture A, Milk = 3/8 * 120 = 45

Water = 75, Mixed is Mixture B.

Now total milk in B = 360 + 45 = 405

Total water in B = 240 + 75 = 315

Ratio of Milk and water = 405: 315

= 9: 7

Quantity of water in 32 Lit of mixture drawn = 7/16 * 32

=14 Lit

69. Vessel A contains 98 litres mixture which contains milk and water in the ratio 4:3 respectively. Vessel B contains 85 litres mixture which contains milk and water in the ratio 3:2 respectively. Contents of vessel A and vessel B are emptied and filled into vessel C and seven litres more milk and four litres more water are added to it. Find the final ratio of milk and water in container C.

बर्तन A में 98 लीटर मिश्रण है जिसमें दूध और पानी का अनुपात क्रमशः 4:3 है। बर्तन B में 85 लीटर मिश्रण है जिसमें दूध और पानी का अनुपात क्रमश: 3:2 है। बर्तन A और बर्तन B की सामग्री को खाली कर दिया जाता है और बर्तन C में भर दिया जाता है और इसमें सात लीटर दूध और चार लीटर अधिक पानी मिला दिया जाता है। कंटेनर C में दूध और पानी का अंतिम अनुपात ज्ञात कीजिए।

A. 77:50
B. 67:30
C. 57:40
D. 37:20
E. None of these

Option “C” is correct.

Quantity of milk in container A = 4/7 x 98 = 56 litres

Quantity of water in container A = 3/7 x 98 = 42 litres

Quantity of milk in container B = 3/5 x 85 = 51 litres

Quantity of water in container B = 2/5 x 85 = 34 litres

Final quantity of milk in container C = 56 + 51 + 7 = 114 litres

Final quantity of water in container C = 42 + 34 + 4 = 80 litres

Required ratio = 114 : 80 = 57:40

70. A container contains 133 litres mixture which contains wine and water in the ratio 11:8 respectively. 76 litres of the mixture used in a reception party and 7 litres pure wine and 6 litres water added to the container. Find the difference between the quantity of wine and quantity of water in the final mixture.

एक कंटेनर में 133 लीटर का मिश्रण है जिसमें क्रमशः 11:8 के अनुपात में वाइन और पानी है। रिसेप्शन पार्टी में मिश्रण का 76 लीटर उपयोग किया गया और कंटेनर में 7 लीटर शुद्ध वाइन और 6 लीटर पानी मिलाया जाता है। अंतिम मिश्रण में वाइन की मात्रा और पानी की मात्रा के बीच का अंतर ज्ञात कीजिए।

A. 25 litres
B. 10 litres
C. 20 litres
D. 15 litres
E. None of these

Option “B” is correct.

Quantity of wine in the initial mixture = 11/19 x 133 = 77 litres

Quantity of water in the initial mixture = 8/19 x 133 = 56 litres

Quantity of wine in the final mixture = 77 – 11/19 x 76 + 7

= 77 – 44 + 7

= 40 litres

Quantity of water in the final mixture = 56 – 8/19 x 76 + 6

= 56 – 32 + 6

= 30 litres

Required difference = 40 – 30 = 10 litres