MathematicsCUSAT CAT

Relations and Functions Mock Test & Revision

CUSAT CAT aspirants usually cannot afford to treat Relations and Functions as a background topic because it directly shapes scoring stability inside Mathematics. This page explains why Relations and Functions matters in CUSAT CAT, how its weightage behaves, which concepts deserve first-pass revision, and what kind of mistakes repeatedly lower marks. If you want a practical way to turn this chapter into a dependable score source, use this chapter-wise guide alongside MockApp so your revision stays tied to exam-pattern questions instead of generic reading. Review chapter insights, try sample questions, and take the official full-length test on MockApp.

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Weightage

1-2 questions (4-8 marks)

Difficulty

Easy

Trend

Increasing

Importance

5/10

Chapter Insights

Chapter Importance

Relations and Functions is important in CUSAT CAT because the paper repeatedly rewards candidates who can recognise the chapter's core setup quickly and avoid spending too much time on avoidable steps. With an importance score of 5/10 and a easy difficulty label, this is the kind of chapter that often separates prepared students from students who only revised definitions. Even when the chapter does not dominate the whole paper, it tends to generate reliable, repeatable question patterns that are highly convertible with the right revision sequence.

Theory Summary

Begin with Equivalence relation, One-one and onto functions, Invertible functions, Binary operations. These are the anchors that help you classify most CUSAT CAT questions from this chapter before you start solving. Instead of memorising isolated facts, map each concept to the kind of question it usually produces and the trap it normally carries.

This chapter is less about memorising formulas and more about understanding the standard rule, condition, and exception. When you revise, do not just read the final expression. Rebuild when the formula applies, which values are fixed, and what clues in the wording tell you that this is the right tool.

Relations and Functions is a easy but meaningful scoring area in CUSAT CAT, especially because cusat rewards solid conceptual base with manageable twists. In practice, this chapter usually translates into around 1-2 questions and often influences nearby topics inside Mathematics. The highest-yield preparation angle is to lock in Equivalence relation, One-one and onto functions, and Invertible functions so you can recognise the underlying pattern quickly instead of treating every problem as a fresh case. With an importance score of 5/10, this chapter should not be left for the final revision cycle. It is usually more productive to treat it as a steady source of marks, build repeatable solving steps, and then test those steps under timed conditions. Treat the theory summary as a working checklist: if you can explain each concept in plain language and connect it to one common exam pattern, you are much closer to converting this chapter inside timed mocks.

Exam Strategy

Start with a compact revision sheet for Relations and Functions covering Equivalence relation, One-one and onto functions, and Invertible functions and the most reusable formulas such as core definitions. Then move into chapter-wise drilling: begin with direct questions, add mixed-difficulty sets, and only then shift to full mock integration. For CUSAT CAT, the real gain comes from building a repeatable routine: identify the concept tested, match it to the right method, solve without unnecessary steps, and review every miss for whether it came from concept weakness, formula recall, or poor question selection. If you are revising late in the cycle, prioritise solved examples, recent PYQ-style patterns, and one timed chapter test every few days so the chapter feels active rather than theoretical.

Weightage Snapshot

Expected questions: 1-2
Difficulty: Easy
Trend: Increasing
Importance: 5/10

Key Revision Points

Master the logic behind Equivalence relation.
Master the logic behind One-one and onto functions.
Master the logic behind Invertible functions.
Master the logic behind Binary operations.
Connect Relations and Functions with the chapters that usually sit beside it in the syllabus.
Note the common traps and boundary conditions before moving into mock tests.

Common Mistakes

Starting Relations and Functions questions without first identifying which idea from the chapter is actually being tested.
Memorising formulas from Relations and Functions without linking them to the conditions where they stop being valid.
Ignoring easy marks from standard Relations and Functions question patterns while over-focusing on rare edge cases.
Skipping review of wrong answers instead of tagging whether the error came from concept, calculation, or haste.
Using a preparation style that does not match CUSAT CAT; this exam rewards accuracy on standard engineering entrances patterns.

Practice Questions

10 Qs

Explained MCQs for Relations and Functions in CUSAT CAT. Use this as a chapter diagnostic before full-length mocks.

1hard

For CUSAT CAT, which statement best captures the role of Equivalence relation inside Relations and Functions during core revision?

AEquivalence relation helps solve standard mathematics questions by revealing the governing relationship before calculation begins.

BEquivalence relation only matters in descriptive answers and is rarely useful in MCQs.

CEquivalence relation can be ignored if formulas are memorised mechanically.

DEquivalence relation is relevant only when every variable in the question is explicitly defined.

Explanation: In Relations and Functions, Equivalence relation is not just a definition. It tells you which framework to use, which is exactly why it appears repeatedly in CUSAT CAT-style questions. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

2medium

Which revision choice is most effective when practising Relations and Functions for CUSAT CAT with special focus on Relations and Functions core rule during core revision?

ASkip concept revision and move straight into full mocks.

BRevise Relations and Functions core rule, solve direct questions first, and then shift to timed mixed sets.

COnly memorise solved answers from one source and avoid variation.

DDelay all chapter practice until the final week before the exam.

Explanation: CUSAT CAT rewards a layered approach. Starting with concept and formula clarity before timed practice creates speed without sacrificing accuracy. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

3medium

A student keeps getting Relations and Functions questions wrong in CUSAT CAT whenever Invertible functions appears during core revision. Which diagnosis is the strongest?

AThe chapter cannot be improved through practice because outcomes are unpredictable.

BThe only useful fix is to memorise more answer keys.

CThe student is probably failing to map the question to the right concept before using a method.

DMistakes in this chapter are usually unrelated to preparation strategy.

Explanation: Most errors in Relations and Functions happen before the actual solve. If the concept match is wrong, even strong calculation skill will not rescue the answer. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

4medium

What should you compare first when a Relations and Functions question in CUSAT CAT seems to involve both Binary operations and Composition of functions during core revision?

AAssume both concepts carry equal weight in every problem.

BIgnore the question condition and choose the longer method.

CUse the most recently revised formula regardless of the setup.

DCompare which concept controls the question condition and which one is only a consequence.

Explanation: Mixed-topic questions reward structure. Distinguishing the controlling idea from the follow-up idea prevents unnecessary steps and confusion. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

5medium

Which option is the safest exam-day approach for Relations and Functions in CUSAT CAT when the question is centered on Equivalence relation during core revision?

ATake the shortest valid route once the concept is identified, then verify whether the option matches the question condition.

BAlways use the longest derivation to avoid doubt.

CMark the first familiar-looking option without checking the wording.

DSkip every question that includes more than one concept.

Explanation: CUSAT CAT is usually won by controlled efficiency. A short valid method plus one condition check protects both speed and accuracy. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

6hard

Why is Relations and Functions considered strategically useful in CUSAT CAT, especially for questions built around Equivalence relation during core revision?

ABecause it is too random to prepare systematically.

BBecause it produces repeatable question models that improve with deliberate timed practice.

CBecause examiners rarely revisit similar patterns from this chapter.

DBecause memorising one trick is enough for every question from the chapter.

Explanation: This chapter tends to reward repetition. Once you recognise the common frames, performance improves quickly, which is why it deserves a clear place in the revision schedule. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

7medium

For CUSAT CAT, which statement best captures the role of One-one and onto functions inside Relations and Functions under timed practice?

AOne-one and onto functions only matters in descriptive answers and is rarely useful in MCQs.

BOne-one and onto functions can be ignored if formulas are memorised mechanically.

COne-one and onto functions helps solve standard mathematics questions by revealing the governing relationship before calculation begins.

DOne-one and onto functions is relevant only when every variable in the question is explicitly defined.

Explanation: In Relations and Functions, One-one and onto functions is not just a definition. It tells you which framework to use, which is exactly why it appears repeatedly in CUSAT CAT-style questions. For CUSAT CAT, this matches the exam's focus on solid conceptual base with manageable twists.

8medium

Which revision choice is most effective when practising Relations and Functions for CUSAT CAT with special focus on Relations and Functions core rule under timed practice?

ASkip concept revision and move straight into full mocks.

BOnly memorise solved answers from one source and avoid variation.

CDelay all chapter practice until the final week before the exam.

DRevise Relations and Functions core rule, solve direct questions first, and then shift to timed mixed sets.

9medium

A student keeps getting Relations and Functions questions wrong in CUSAT CAT whenever Binary operations appears under timed practice. Which diagnosis is the strongest?

AThe student is probably failing to map the question to the right concept before using a method.

BThe chapter cannot be improved through practice because outcomes are unpredictable.

CThe only useful fix is to memorise more answer keys.

DMistakes in this chapter are usually unrelated to preparation strategy.

10medium

What should you compare first when a Relations and Functions question in CUSAT CAT seems to involve both Composition of functions and Equivalence relation under timed practice?

AAssume both concepts carry equal weight in every problem.

BCompare which concept controls the question condition and which one is only a consequence.

CIgnore the question condition and choose the longer method.

DUse the most recently revised formula regardless of the setup.

Related Chapters in Same Exam

Sets and Functions Mock Test for CUSAT CAT

Trigonometric Functions Mock Test for CUSAT CAT

Integrals Mock Test for CUSAT CAT

Complex Numbers and Quadratic Equations Mock Test for CUSAT CAT

Linear Inequalities Mock Test for CUSAT CAT

Same Chapter in Other Exams

Relations and Functions in JEE Mains

Relations and Functions in JEE Advanced

Relations and Functions in CUET

Relations and Functions in RRB NTPC

Relations and Functions in KEAM

Relations and Functions in Kerala PSC

Frequently Asked Questions

How important is Relations and Functions for CUSAT CAT?

Relations and Functions carries an importance score of 5/10 in CUSAT CAT. That makes it a chapter worth planned revision rather than optional reading, especially if you want stable marks in Mathematics.

How many questions can I expect from Relations and Functions in CUSAT CAT?

A realistic expectation is around 1-2 questions, although the exact paper can shift slightly depending on paper balance and section design.

Is Relations and Functions easy or hard in CUSAT CAT?

This chapter is best treated as easy in CUSAT CAT. The challenge level usually comes from how the exam frames the question, not just from the theory itself.

What is the best way to prepare Relations and Functions for CUSAT CAT?

Finish concept revision first, then solve chapter-wise MCQs, and finally place the topic inside timed mocks. That sequence helps you convert understanding into exam speed.

Which areas of Relations and Functions should I revise first?

Begin with Equivalence relation, One-one and onto functions, and Invertible functions. Those areas usually drive the most repeated question patterns from this chapter.