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Previous year question hub

Sets And Relations - Algebra - Mathematics Previous Year Questions

Practice Sets And Relations - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

3Papers
3Years
3Questions
1Topics

Sets And Relations question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Sets And Relations. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 3 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 3 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
3 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
3 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Sets And Relations
3 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

IAT IISER 2024
1 Qs
IAT IISER 2022
1 Qs
IAT IISER 2020
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202420241View paper
IAT IISER 202220221View paper
IAT IISER 202020201View paper

All Sets And Relations previous year questions

Practice every matching question in batches of 20, with every available option.

1
2020 · Mathematics · Algebra · Sets And Relations
IAT IISER 2020

$$\text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is }$$

A
4
B
2
C
3
D
5
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2
2022 · Mathematics · Algebra · Sets And Relations
IAT IISER 2022
Let $X$ be the set of all $2 \times 2$ matrices with real entries and $R \subset X \times X$ be the relation $R=$ $\{(A, B): A B=B A\}$. Which of the following statements is true?
A
$R$ is reflexive and symmetric but not transitive
B
$R$ is reflexive and transitive but not symmetric
C
$R$ is symmetric and transitive but not reflexive
D
$R$ is an equivalance relation
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3
2024 · Mathematics · Algebra · Sets And Relations
IAT IISER 2024
Let $M$ be the set of all $3 \times 3$ matrices with real entries. Consider the relation $R$ on $M$ given by $R=\{(A, B) \in M \times M: \operatorname{det}(A-B)$ is an integer $\}$. Which one of the following statements is Correct?
A
$R$ is reflexive and symmetric, but not transitive.
B
$R$ is reflexive, but neither symmetric nor transitive.
C
$R$ is an equivalence relation.
D
$R$ is symmetric and transitive, but not reflexive.
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