Sets And Relations

Step 1: Reflexive Property.
For the relation $R$ to be reflexive, it must contain the pair $(a%2Ca)$ for every element $a%20%5Cin%20I$ . Here, the relation does not contain $(4%2C4)%2C%20(5%2C5)%2C%20(6%2C6)%2C%20(7%2C7)$ , so $R$ is not reflexive.

Step 2: Symmetric Property.
For the relation to be symmetric, if $(a%2Cb)$ is in the relation, then $(b%2Ca)$ must also be in the relation. Here, $(4%2C5)$ and $(5%2C4)$ are present, and similarly for the other pairs, making $R$ symmetric.

Step 3: Transitive Property.
For the relation to be transitive, if $(a%2Cb)$ and $(b%2Cc)$ are in the relation, then $(a%2Cc)$ must also be in the relation. However, $(4%2C5)$ and $(5%2C4)$ should imply $(4%2C4)$ , but $(4%2C4)$ is not in the relation, so $R$ is not transitive.

Step 4: Antisymmetric Property.
For the relation to be antisymmetric, if $(a%2Cb)$ and $(b%2Ca)$ are in the relation, then $a%20%3D%20b$ . In this case, both $(4%2C5)$ and $(5%2C4)$ are present, but $4%20%5Cneq%205$ and $5%20%5Cneq%204$ , so $R$ is not antisymmetric.

Step 5: Conclusion.
The relation does not have the transitive property, so the correct answer is (1) A, C and D only.

About Sets And Relations - CUET-PG

Sets And Relations is a vital chapter for CUET-PG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

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Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

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Review the topic breakdown to see which sub-topics within Sets And Relations carry the most weight. Then, tackle the questions iteratively to solidify your understanding.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

About Sets And Relations - CUET-PG

Frequently Asked Questions

Why focus on Sets And Relations PYQs?

How to best use this analysis?

Sets And Relations

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

About Sets And Relations - CUET-PG

Frequently Asked Questions

Why focus on Sets And Relations PYQs?

How to best use this analysis?

Chapter Questions
1 MCQs