Mixtures and Alligations MCQ & Objective Questions
Understanding "Mixtures and Alligations" 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 on this topic helps in reinforcing concepts and boosts your confidence during exam preparation.
What You Will Practise Here
Basic concepts of mixtures and alligations
Formulas related to mixtures and alligations
Types of mixtures: homogeneous and heterogeneous
Applications of alligation in real-life scenarios
Solving problems involving different ratios
Understanding the alligation method for quick calculations
Practice questions with detailed solutions
Exam Relevance
The topic of "Mixtures and Alligations" frequently appears in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that test their understanding of the concepts through various patterns, including direct application problems and theoretical questions. Familiarity with this topic can significantly enhance your performance in these exams.
Common Mistakes Students Make
Confusing the ratios when calculating mixtures
Neglecting to apply the correct formula for alligation
Overlooking the units of measurement in problems
Misinterpreting the question requirements
Failing to practice enough varied problems
FAQs
Question: What are the key formulas for mixtures and alligations? Answer: The key formulas include the alligation formula and the formula for calculating the average price or concentration of mixtures.
Question: How can I improve my speed in solving these problems? Answer: Regular practice of Mixtures and Alligations MCQ questions will help you improve your speed and accuracy.
Start solving practice MCQs today to test your understanding of "Mixtures and Alligations" and enhance your exam readiness. Remember, consistent practice is the key to success!
Q. A container has 60 liters of a solution that is 15% acid. If 10 liters of the solution is removed and replaced with water, what is the new percentage of acid?
A.
10%
B.
12%
C.
15%
D.
18%
Solution
Acid removed = 15% of 10L = 1.5L. Remaining acid = 9L. New total = 60L. New percentage = (9/60) * 100 = 15%.
Q. A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is taken out and replaced with water, what is the new percentage of alcohol in the mixture?
A.
25%
B.
28%
C.
30%
D.
32%
Solution
Initial alcohol = 30% of 20L = 6L. Remaining alcohol = 30L - 6L = 24L. New mixture = 24L + 20L = 44L. New percentage of alcohol = (24/44) * 100 = 54.55%.
Q. A mixture of two types of fruit juice contains 30% orange juice and 70% apple juice. If 5 liters of apple juice is added, what is the new percentage of orange juice in the mixture?
A.
25%
B.
30%
C.
35%
D.
40%
Solution
Initial volume = 10L. Orange juice = 3L. New volume = 15L. New percentage = (3/15) * 100 = 20%.
Q. A solution contains 40% sugar. If 5 liters of the solution is removed and replaced with water, what is the new percentage of sugar if the total volume remains the same?
Q. In a mixture of two liquids, the ratio of liquid X to liquid Y is 1:3. If 12 liters of liquid Y is added, what will be the new ratio if the total volume is 48 liters?
A.
1:2
B.
1:3
C.
1:4
D.
1:5
Solution
Let the volumes of X and Y be x and 3x. x + 3x + 12 = 48. Solving gives x = 6. New ratio = 6:18 = 1:3.
