Let $R$ be a binary relation on the set $\{1, 2, \dots, 10\}$ , where $(x, y) \in R$ if the product of $x$ and $y$ is square of an integer. Which of the following properties is/are satisfied by $R$ ?

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Discrete Mathematics

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How GATE tests Discrete Mathematics

In GATE Computer Science, Discrete Mathematics is heavily tested across mathematical logic, set theory, relations & partial orders/lattices, group theory, combinatorics, and graph theory. Questions evaluate formal reasoning, counterexample construction, and structural counting principles. Over recent years, question formats have transitioned from standard single-choice definitions to multi-select properties (MSQs) and exact integer/combinatorial numerical answers (NATs).

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Engineering Mathematics · Discrete Mathematics

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GATE CSE 2026 Set 2 Q26 · MSQ · 1 mark

Let $R$ be a binary relation on the set $\{1, 2, \dots, 10\}$ , where $(x, y) \in R$ if the product of $x$ and $y$ is square of an integer. Which of the following properties is/are satisfied by $R$ ?

Select one or more options

Key concept

Discrete Mathematics

Step-by-step verified solution

Examiner trap & misconception

Topic notes

How GATE tests Discrete Mathematics

Full Discrete Mathematics guide →

More on Discrete Mathematics

All 50 questions on Discrete Mathematics →

Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.

Let $R$ be a binary relation on the set $\{1, 2, \dots, 10\}$ , where $(x, y) \in R$ if the product of $x$ and $y$ is square of an integer. Which of the following properties is/are satisfied by $R$ ?

Step-by-step verified solution

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Let $R$ be a binary relation on the set $\{1, 2, \dots, 10\}$ , where $(x, y) \in R$ if the product of $x$ and $y$ is square of an integer. Which of the following properties is/are satisfied by $R$ ?

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Let RRR be a binary relation on the set {1,2,…,10}\{1, 2, \dots, 10\}{1,2,…,10}, where (x,y)∈R(x, y) \in R(x,y)∈R if the product of xxx and yyy is square of an integer. Which of the following properties is/are satisfied by RRR?

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Let RRR be a binary relation on the set {1,2,…,10}\{1, 2, \dots, 10\}{1,2,…,10}, where (x,y)∈R(x, y) \in R(x,y)∈R if the product of xxx and yyy is square of an integer. Which of the following properties is/are satisfied by RRR?

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Check you can still solve Discrete Mathematics under a clock

More from GATE CSE 2026 Set 2

More on Discrete Mathematics

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Let $R$ be a binary relation on the set $\{1, 2, \dots, 10\}$ , where $(x, y) \in R$ if the product of $x$ and $y$ is square of an integer. Which of the following properties is/are satisfied by $R$ ?

Let $R$ be a binary relation on the set $\{1, 2, \dots, 10\}$ , where $(x, y) \in R$ if the product of $x$ and $y$ is square of an integer. Which of the following properties is/are satisfied by $R$ ?