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 container has a mixture of two liquids in the ratio 7:3. If 20 liters of the mixture is removed, what is the new ratio if the remaining mixture is 50 liters?
A.
7:3
B.
6:4
C.
5:5
D.
8:2
Solution
Initial volume = 50 + 20 = 70 liters. A = (7/10) * 70 = 49 liters, B = 21 liters. New ratio = 49:21 = 7:3.
Q. A mixture contains two types of fruit juice in the ratio 3:5. If the total volume of the mixture is 40 liters, how much of the first juice is there?
A.
15 liters
B.
20 liters
C.
25 liters
D.
30 liters
Solution
In a 3:5 ratio, the total parts = 3 + 5 = 8. First juice = (3/8) * 40 = 15 liters.
Q. A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed and replaced with water, what is the new percentage of salt?
A.
8%
B.
9%
C.
10%
D.
11%
Solution
Initial salt = 10% of 40L = 4L. After removing 5L, salt left = 4L - (10% of 5L) = 4L - 0.5L = 3.5L. New volume = 40L. New percentage = (3.5/40) * 100 = 8%.
Q. A mixture of two chemicals A and B is in the ratio 1:2. If 30 liters of chemical B is added, what will be the new ratio if the original mixture was 15 liters?
A.
1:3
B.
1:2
C.
1:4
D.
1:5
Solution
Original mixture = 15 liters (A = 5, B = 10). After adding 30 liters of B, new B = 40. New ratio = 5:40 = 1:8.
