Q. A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 liters of water, what is the new percentage of sugar in the solution?
A.
10%
B.
15%
C.
20%
D.
25%
Solution
Initial sugar = 20% of 5 liters = 1 liter. Total volume after dilution = 5 + 10 = 15 liters. New percentage = (1/15) * 100 = 6.67%.
Q. A solution contains 25% sugar. If 10 liters of water is added to 30 liters of this solution, what is the new concentration of sugar in the solution?
A.
15%
B.
20%
C.
25%
D.
30%
Solution
Initial sugar = 0.25 * 30 = 7.5 liters. New total volume = 30 + 10 = 40 liters. New concentration = (7.5/40) * 100 = 18.75%.
Q. A solution contains 25% sugar. If 8 liters of this solution is diluted with 4 liters of water, what is the new concentration of sugar in the solution?
Q. A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If solution A contains 20% salt and solution B contains 10% salt, what is the percentage of salt in the final mixture?
Q. A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a 30% acid solution. What is the concentration of acid in the final mixture?
Q. A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
Q. If a mixture is made by combining 5 liters of a 10% solution with 15 liters of a 20% solution, what is the overall percentage concentration of the solution?
Q. If a mixture of two liquids A and B is in the ratio 1:3 and 4 liters of liquid A is added, what will be the new ratio if the total volume of liquid B is 12 liters?
A.
1:2
B.
1:3
C.
1:4
D.
1:5
Solution
Initial volumes are A = 1x and B = 3x. If B = 12 liters, then x = 4. New A = 4 + 4 = 8, B = 12. New ratio = 8:12 = 2:3.
Understanding "Mixtures & Alligation" is crucial for students preparing for various exams in India. This topic not only enhances your problem-solving skills but also plays a significant role in scoring well in objective questions. Practicing MCQs and important questions related to mixtures and alligation can greatly improve your exam preparation and boost your confidence.
What You Will Practise Here
Concept of mixtures and alligation
Types of mixtures: homogeneous and heterogeneous
Alligation method and its applications
Formulas related to mixtures and alligation
Real-life applications of mixtures in chemistry and mathematics
Problem-solving techniques for objective questions
Sample diagrams and visual aids for better understanding
Exam Relevance
"Mixtures & Alligation" is a recurring topic in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that test their understanding of the concepts, calculations involving mixtures, and the application of the alligation method. Common question patterns include direct numerical problems, conceptual questions, and scenario-based questions that require critical thinking.
Common Mistakes Students Make
Confusing the concepts of mixtures with simple averages
Incorrect application of the alligation formula
Overlooking the units in calculations
Misinterpreting the problem statement in objective questions
Neglecting to double-check calculations for accuracy
FAQs
Question: What is the alligation method? Answer: The alligation method is a technique used to find the average price or concentration of two or more mixtures based on their respective quantities and prices.
Question: How can I improve my skills in mixtures and alligation? Answer: Regular practice of Mixtures & Alligation MCQ questions and solving important Mixtures & Alligation objective questions with answers will enhance your understanding and problem-solving abilities.
Start solving practice MCQs today to test your understanding of "Mixtures & Alligation" and prepare effectively for your exams. Remember, consistent practice is the key to success!
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