Understanding "Mixtures & Alligation" is crucial for students preparing for various exams in India. This topic not only enhances your mathematical skills but also plays a significant role in scoring well in objective questions. Practicing MCQs related to mixtures and alligation helps reinforce concepts and boosts confidence, making it easier to tackle important questions in your exams.
What You Will Practise Here
Concept of mixtures and alligation
Formulas for calculating mixtures
Applications of alligation in real-life scenarios
Step-by-step methods to solve mixture problems
Common types of mixture problems in exams
Visual aids and diagrams for better understanding
Practice questions with detailed solutions
Exam Relevance
The topic of mixtures and alligation frequently appears in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that require them to apply formulas and concepts to solve practical problems. Common question patterns include finding the ratio of mixtures, calculating costs, and determining concentrations, making it essential to master this topic for effective exam preparation.
Common Mistakes Students Make
Confusing the concepts of mixtures and alligation
Incorrectly applying formulas, especially in ratio problems
Overlooking units of measurement in calculations
Failing to read questions carefully, leading to misinterpretation
Rushing through problems without checking for accuracy
FAQs
Question: What is the basic formula for mixtures in alligation? Answer: The basic formula involves the ratio of the quantities of two or more components based on their costs or concentrations.
Question: How can I improve my speed in solving mixture problems? Answer: Regular practice of Mixtures & Alligation MCQ questions will enhance your speed and accuracy in solving these problems.
Don't wait any longer! Start solving practice MCQs on Mixtures & Alligation today to solidify your understanding and excel in your exams. Your success is just a question away!
Q. A mixture of two liquids A and B is in the ratio 4:1. If 10 liters of liquid A is added to the mixture, what will be the new ratio if the total volume becomes 50 liters?
A.
5:1
B.
4:1
C.
8:1
D.
3:1
Solution
Initial volume = 50 - 10 = 40 liters. A = (4/5) * 40 = 32 liters, B = 8 liters. New ratio = 32:8 = 4:1.
Q. A mixture of two liquids A and B is in the ratio 4:1. If 25 liters of liquid A is added to the mixture, what will be the new ratio if the original mixture was 20 liters?
A.
5:1
B.
4:1
C.
3:1
D.
2:1
Solution
Original mixture = 20 liters (A = 16, B = 4). After adding 25 liters of A, new A = 41, B = 4. New ratio = 41:4 = 5:1.
Q. A mixture of two liquids X and Y is in the ratio 1:4. If 10 liters of liquid Y is added, what will be the new ratio if the original mixture was 20 liters?
A.
1:5
B.
1:4
C.
1:3
D.
1:2
Solution
Original mixture = 20 liters (X = 4, Y = 16). After adding 10 liters of Y, new Y = 26. New ratio = 4:26 = 1:5.
Q. A mixture of two types of fruit juice is in the ratio 1:2. If the total volume of the mixture is 90 liters, how much of the first type of juice is there?
A.
30 liters
B.
45 liters
C.
60 liters
D.
15 liters
Solution
Total parts = 1 + 2 = 3. First type of juice = (1/3) * 90 = 30 liters.
Q. A mixture of two types of fruit juice is in the ratio 2:3. If 10 liters of juice B is added, what will be the new ratio if the total volume becomes 50 liters?
A.
2:3
B.
3:2
C.
1:4
D.
4:1
Solution
Initial volume = 50 - 10 = 40 liters. A = (2/5) * 40 = 16 liters, B = 24 liters. New ratio = 16:24 = 2:3.
Q. A mixture of two types of fruit juice is in the ratio 5:3. If the total volume of the mixture is 64 liters, how much of the first type of juice is there?
A.
40 liters
B.
32 liters
C.
24 liters
D.
16 liters
Solution
Total parts = 5 + 3 = 8. First type = (5/8) * 64 = 40 liters.
Q. A mixture of two types of fruit juice is made in the ratio 5:3. If the total volume of the mixture is 64 liters, how much of the first type of juice is used?
A.
40 liters
B.
32 liters
C.
25 liters
D.
20 liters
Solution
In a 5:3 ratio, the total parts = 5 + 3 = 8. First type of juice = (5/8) * 64 = 40 liters.
Q. A solution contains 40% sugar. If 10 liters of this solution is mixed with 5 liters of pure sugar, what is the percentage of sugar in the new solution?
A.
50%
B.
60%
C.
70%
D.
80%
Solution
Sugar in 10L = 40% of 10L = 4L. Total sugar = 4L + 5L = 9L. Total volume = 10L + 5L = 15L. Percentage = (9/15) * 100 = 60%.
Q. A solution is made by mixing 15 liters of a 30% acid solution with 5 liters of a 50% acid solution. What is the percentage of acid in the new solution?
Q. A solution is made by mixing two liquids in the ratio 3:4. If the total volume of the solution is 70 liters, how much of the second liquid is there?
A.
30 liters
B.
40 liters
C.
35 liters
D.
20 liters
Solution
In a 3:4 ratio, the total parts = 3 + 4 = 7. Second liquid = (4/7) * 70 = 40 liters.
Q. A solution is made by mixing two types of tea in the ratio 2:3. If the total weight of the mixture is 50 kg, how much of the first type of tea is there?
A.
20 kg
B.
30 kg
C.
25 kg
D.
15 kg
Solution
In a 2:3 ratio, total parts = 2 + 3 = 5. First type = (2/5) * 50 = 20 kg.
