which of the following statements is false ? Options: A . &nbspIf R is relexive, then R ∩ R-1 ≠ φ B . &nbspR ∩ R-1 ≠ φ =>R is anti-symmetric. C . &nbspIf R, R' are relexive relations in A, then R - R' is reflexive D . &nbspIf R, R' are equivalence relations in a set A, then R ∩ R' is also an equivalence relation in A

which of the following statements is false ?

Question

which of the following statements is false ?

Options:

A . If R is relexive, then R ∩ R-1 ≠ φ

B . R ∩ R-1 ≠ φ =>R is anti-symmetric.

C . If R, R' are relexive relations in A, then R - R' is reflexive

D . If R, R' are equivalence relations in a set A, then R ∩ R' is also an equivalence relation in A

Answer: Option C
Explanation :

Was this answer helpful ?

Next Question

Question 1. if r = {(1, 2),(2, 3),(3, 3)} be a relation defined on a= {1, 2, 3} then r . r (= r2) is....

Question 2. let g denoted the set of all n x n non-singular matrices with rational numbers as entries. then under multiplication g....rational numbers as entries. then under multiplication g is a/an

Question 3. let g denoted the set of all n x n non-singular matrices with rational numbers as entries. then under multiplication g....rational numbers as entries. then under multiplication g is a/an

Question 4. (z,*) is a group with a*b = a+b+1 ∀ a, b ∈z. the inverse of a is....

Question 5. which of the following statements is false ?....

Question 6. (z,*) is a group with a*b = a+b+1 ∀ a, b ∈z. the inverse of a is....

Question 7. if (g, .) is a group, such that (ab)2 = a2 b2 ∀ a, b ∈ g, then g is a/an....

Question 8. if r = {(1, 2),(2, 3),(3, 3)} be a relation defined on a= {1, 2, 3} then r . r (= r2) is....

Question 9. let g denoted the set of all n x n non-singular matrices with rational numbers as entries. then under multiplication g....rational numbers as entries. then under multiplication g is a/an

Question 10. if (g, .) is a group, such that (ab)2 = a2 b2 ∀ a, b ∈ g, then g is a/an....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0