Reflexive: n divides n, yes.
Symmetric: 2∣4 but 4∤2, no.
Transitive: if n∣m and m∣p, then n∣p, yes.
Identity: requires nRm only if n=m; here 2∣4 so no.
Reflexive and Transitive only.
CUET UG 2023 — Mathematics Algebra
Let R be a relation on the set of natural numbers N defined by nRm if n divides m. Then R is :
(A) Reflexive Relation
(B) Symmetric Relation
(C) Transitive Relation
(D) Identity Relation
Choose the correct answer from the options given below :
Held on 22 May 2023 · Verified 13 Jul 2026.
(A) and (C) Only
(A) and (B) Only
(A) and (D) Only
(B) and (C) Only
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