JEE & NEETJEE Mathematics JEE Main Maths 100+ MCQ & Answer | Page-01 | JEE & NEET MCQ February 4, 2025 DSN MARATHI 01. Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}? A. R = {(4, 4), (5, 5)} B. R = {(4, 5), (5, 4)} C. R = {(4, 5), (5, 4), (4, 4)} D. R = {(4, 4), (5, 4), (5, 5)} Answer Option : D 02. Which of these is not a type of relation? A. Reflexive B. Symmetric C. Surjective D. Transitive Answer Option : C 03. Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}? A. R = {0} B. R = {(7, 7), (8, 8), (9, 9)} C. R = {(7, 8), (8, 7), (8, 9)} D. R = {(7, 8), (8, 8), (8, 9)} Answer Option : B 04. Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation? A. (2,1) ∈ R B. (2,3) ∈ R C. (4,2) ∈ R D. (5,0) ∈ R Answer Option : B 05. (a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations? A. Equivalence relation B. Reflexive relation C. Symmetric relation D. Transitive relation Answer Option : B 06. Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}? A. R = {(1, 1), (2, 2), (3, 3)} B. R = {(1, 2), (1, 3), (1, 4)} C. R = {(3, 3), (4, 4), (6, 6)} D. R = {(3, 4), (4, 6), (3, 6)} Answer Option : D 07. Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}. A. R = {(1, 2), (2, 1)} B. R = {(1, 1), (2, 2), (3, 3)} C. R = {(1, 1), (1, 2), (2, 3)} D. R = {(1, 2), (1, 3), (1, 4)} Answer Option : A 08. An Equivalence relation is always symmetric. A. True B. False Answer Option : A 09. A function f∶N→N is defined by f(x)=x2+12. What is the type of function here? A. bijective B. surjective C. injective D. neither surjective nor injective Answer Option : C 10. A function f:R→R is defined by f(x)=5x3-8. The type of function is ________. A. one – one B. onto C. many-one D. both one-one and onto Answer Option : C
01. Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}? A. R = {(4, 4), (5, 5)} B. R = {(4, 5), (5, 4)} C. R = {(4, 5), (5, 4), (4, 4)} D. R = {(4, 4), (5, 4), (5, 5)} Answer Option : D
02. Which of these is not a type of relation? A. Reflexive B. Symmetric C. Surjective D. Transitive Answer Option : C
03. Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}? A. R = {0} B. R = {(7, 7), (8, 8), (9, 9)} C. R = {(7, 8), (8, 7), (8, 9)} D. R = {(7, 8), (8, 8), (8, 9)} Answer Option : B
04. Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation? A. (2,1) ∈ R B. (2,3) ∈ R C. (4,2) ∈ R D. (5,0) ∈ R Answer Option : B
05. (a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations? A. Equivalence relation B. Reflexive relation C. Symmetric relation D. Transitive relation Answer Option : B
06. Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}? A. R = {(1, 1), (2, 2), (3, 3)} B. R = {(1, 2), (1, 3), (1, 4)} C. R = {(3, 3), (4, 4), (6, 6)} D. R = {(3, 4), (4, 6), (3, 6)} Answer Option : D
07. Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}. A. R = {(1, 2), (2, 1)} B. R = {(1, 1), (2, 2), (3, 3)} C. R = {(1, 1), (1, 2), (2, 3)} D. R = {(1, 2), (1, 3), (1, 4)} Answer Option : A
09. A function f∶N→N is defined by f(x)=x2+12. What is the type of function here? A. bijective B. surjective C. injective D. neither surjective nor injective Answer Option : C
10. A function f:R→R is defined by f(x)=5x3-8. The type of function is ________. A. one – one B. onto C. many-one D. both one-one and onto Answer Option : C
