📘 Ratio and Proportion – CUET GT Notes Summary
Ratio and Proportion are important topics in the Quantitative Aptitude section of the CUET General Test (GT). These concepts help compare quantities and understand relationships between numbers. They are commonly used in questions related to mixtures, profit and loss, speed, and partnerships. 📊
🔹 Ratio (Comparison of Quantities)
A ratio compares two quantities of the same type using division.
📌 Formula:
Ratio = a / b or a : b
- a = First quantity
- b = Second quantity
💡 Example:
If there are 10 boys and 5 girls in a class,
the ratio of boys to girls = 10 : 5 = 2 : 1 👦👧
📍 Key Points:
- Ratios should be written in simplest form.
- Both quantities must be in the same units.
- Ratio represents relative comparison, not the actual values.
🔹 Proportion (Equality of Ratios)
A proportion states that two ratios are equal.
📌 Formula:
a : b = c : d
or
a / b = c / d
📍 Cross Multiplication Rule:
a × d = b × c
💡 Example:
If 2 : 4 = 4 : 8, then the ratios are in proportion.
🔹 Types of Proportion 🔄
1️⃣ Direct Proportion
When one quantity increases, the other also increases.
Example: More workers → Work finishes faster 👷♂️
2️⃣ Inverse Proportion
When one quantity increases, the other decreases.
Example: More workers → Less time required ⏳
🔹 CUET GT Preparation Tips 🎯
- Learn basic ratio simplification techniques.
- Practice proportion and cross-multiplication problems.
- Solve mixture and partnership questions using ratios.
- Focus on shortcut tricks to solve questions quickly.
📚 Mastering Ratio and Proportion will help you solve many CUET GT quantitative aptitude questions efficiently and improve your problem-solving speed. 🚀
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.