🧪 Alligation or Mixture – CUET GT Quick Summary
Alligation or Mixture is an important concept in quantitative aptitude used to determine the ratio in which two or more ingredients with different values are mixed to obtain a mixture with a desired value. It is frequently used in problems related to prices, concentrations, milk and water mixtures, and metal alloys. 🔢
🔹 What is a Mixture?
A mixture is formed when two or more substances are combined together. Each component has its own value, price, or concentration, and the goal is to find the correct proportion that produces the required mean value. ⚖️
🔹 Alligation Method
The alligation method is a shortcut technique used to calculate the ratio between two quantities by comparing the difference between the mean value and the individual values of the components.
📌 Important Formula
Quantity of Cheaper : Quantity of Dearer
( Dearer Price − Mean Price ) : ( Mean Price − Cheaper Price )
🔹 Example
If rice costing ₹40 per kg is mixed with rice costing ₹60 per kg to get a mixture worth ₹50 per kg:
Cheaper = 40, Mean = 50, Dearer = 60
Ratio = (60 − 50) : (50 − 40) = 10 : 10 = 1 : 1 ✔️
✨ Key Points for CUET-GT
- 📍 Used to find the mixing ratio of two items.
- 📍 Common in milk and water, price mixtures, and alloy problems.
- 📍 Helps solve quantitative aptitude questions faster than algebraic methods. ⚡
- 📍 The mean value must lie between the cheaper and dearer values.
🎯 Why It Is Important for CUET
Mixture and alligation problems appear frequently in the CUET General Test quantitative aptitude section. Understanding this method helps students solve questions quickly and accurately during the exam. 📚
Here are FAQs related to CUET and the General Test (GT) that you can use on a worksheet or study page.
1. What is CUET?
The Common University Entrance Test (CUET) is a national-level entrance exam conducted for admission to undergraduate programs in many central, state, and private universities across India.
2. What is the CUET General Test (GT)?
The CUET General Test is a section of the CUET exam that evaluates a student’s general aptitude, logical reasoning, quantitative ability, and general knowledge.
3. What topics are included in the CUET GT quantitative section?
The quantitative aptitude section of CUET GT usually includes topics such as percentages, ratios, averages, profit and loss, time and work, time and distance, and basic arithmetic calculations.
4. Is the General Test compulsory in CUET?
No, the General Test is not compulsory for all courses. It depends on the university and the program requirements. Some courses require it, while others only require language and domain subjects.
5. Why is the percentage topic important for CUET GT?
Percentage is a core arithmetic concept used in many aptitude questions. It also forms the basis for solving problems related to profit and loss, discounts, data interpretation, and ratios, which frequently appear in the CUET GT.
6. How can students prepare for the CUET General Test?
Students can prepare by studying basic concepts, solving practice worksheets, attempting mock tests, and regularly practicing aptitude questions related to the syllabus.
7. What type of questions appear in CUET GT?
CUET GT includes multiple-choice questions (MCQs) covering quantitative aptitude, logical reasoning, general awareness, and basic analytical skills.
8. How many questions are asked in the CUET General Test?
The number of questions may vary depending on the exam pattern, but students usually need to attempt a specific number of questions from a given set within a time limit.
9. Is there negative marking in CUET?
Yes, the Common University Entrance Test typically includes negative marking, where marks may be deducted for incorrect answers.
10. What is the best way to improve speed in CUET GT quantitative questions?
Regular practice, learning calculation shortcuts, and solving timed practice tests can help improve speed and accuracy.