A + B means ‘A is father of B’A ÷ B means ‘A is wife of B’If M ÷ Q + R + O, then which of the following statement is NOT correct?

Q is paternal grandfather of O.

M is maternal grandfather of R.

Q is paternal grandfather of O.

'[email protected]' means 'A is the brother of B''A%B' means 'A is the daughter of B''A#B' means 'A is the sister of B''A&B' means 'A is the father of B'If J & R & K @ U % S # T & M, then which of the following statements is NOT correct?

J is the paternal grandfather of K.

The inclusion of ______ sets into R = {{1, 2}, {1, 2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 2, 3, 4, 5}} is necessary and sufficient to make R a complete lattice under the partial order defined by set containment.

{1}, {1, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}

Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________

Every subset of N has an upper bound under |

(N,|) is a lattice but not a complete lattice

Let R be a relation between A and B. R is asymmetric if and only if ________

R⁻¹ is a subset of R, where R⁻¹ represents inverse of R

Intersection of D(A) and R is empty, where D(A) represents diagonal of set

R⁻¹ is a subset of R, where R⁻¹ represents inverse of R

Intersection of R and R⁻¹ is D(A)

D(A) is a subset of R, where D(A) represents diagonal of set

The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is __________

reflective, symmetric and transitive

irreflexive, symmetric and transitive

neither reflective, nor irreflexive but transitive

Which of the following relations is the reflexive relation over the set {1, 2, 3, 4}?

{,(1,1), (1,2), (2,1), (2,3), (3,4)}

{(1,1), (1,2), (2,2), (3,3), (4,3), (4,4)}

{,(1,1), (1,2), (2,1), (2,3), (3,4)}

{(0,1), (1,1), (2,3), (2,2), (3,4), (3,1)

Let (A, ≤) be a partial order with two minimal elements a, b and a maximum element c. Let P:A –> {True, False} be a predicate defined on A. Suppose that P(a) = True, P(b) = False and P(a) ⇒ P(b) for all satisfying a ≤ b, where ⇒ stands for logical implication. Which of the following statements cannot be true?

P(x) = True for all x S such that x ≠ b

P(x) = False for all x ∈ S such that b ≤ x and x ≠ c

P(x) = False for all x ∈ S such that x ≠ a and x ≠ c

P(x) = False for all x ∈ S such that a ≤ x and b ≤ x

Determine the characteristics of the relation aRb if a² = b².

Trichotomy, antisymmetry, and irreflexive

Symmetric, Reflexive, and transitive

A relation R is defined on the set of integers as aRb if and only if a+b is even and R is termed as ______

an equivalence relation with one equivalence class

an equivalence relation with two equivalence classes

an equivalence relation with three equivalence classes

If R₁ and R₂ are binary relations from set A to set B, then the equality ______ holds.

(R₁ U R₂)ᶜ = R₁ᶜ ∩ R₂ᶜ

(R₁ U R₂)ᶜ = R₁ᶜ∪ R₂ᶜ

(R₁ U R₂)ᶜ = R₁ᶜ ∩ R₂ᶜ

915 + Mcqs in Blood Relations in Logical and Verbal Reasoning Page 17 McqOptions

801.	A & B means ‘A is mother of B’A % B means ‘A is daughter of B’A # B means ‘A is sister of B’A $ B means ‘A is son of B’If U & T & K # C % Z $ S, then how is T related to S?
A.	Son’s daughter
B.	Daughter’s husband
C.	Son’s wife’s mother
D.	Son’s wife
Answer» E.

Discussion

802.	A said to B, “You are my husband’s daughter-in-law’s son.” How is B related to A?
A.	B is the father of A
B.	B is the grandson of A
C.	B is the brother of A
D.	B is the son of A
Answer» C. B is the brother of A

Discussion

803.	Pointing to Geeta, Ram said, "His sister's mother is the daughter-in-law of my father's mother." How is Geeta's mother related to Ram?
A.	Mother
B.	Sister
C.	Aunt
D.	Sister-in-law
Answer» B. Sister

Discussion

804.	How is Y related to O ?
A.	Wife
B.	Sister
C.	Mother
D.	Daughter
Answer» B. Sister

Discussion

805.	A + B means ‘A is father of B’A ÷ B means ‘A is wife of B’If M ÷ Q + R + O, then which of the following statement is NOT correct?
A.	R is father of O.
B.	M is maternal grandfather of R.
C.	Q is paternal grandfather of O.
D.	R is son of M.
Answer» C. Q is paternal grandfather of O.

Discussion

806.	A is father of B. B is son of E. F is sister of E. G is daughter of F. How is B related to F?
A.	Nephew
B.	Husband
C.	Father
D.	Son
Answer» B. Husband

Discussion

807.	Pointing to a photograph of a boy, a man said to his wife, "He is the only brother of daughter of paternal grandfather of your son." Who is the boy in the photograph?
A.	Man himself
B.	Man's son
C.	Man's brother
D.	Man's father
Answer» B. Man's son

Discussion

808.	N and M are sisters of O. M is the daughter of P and Q. P is the son of R. A is the mother - in- law of Q. B is daughter of R. What is the relationship of P to B?
A.	Sibling
B.	nephew
C.	niece
D.	daughter
Answer» B. nephew

Discussion

809.	A + B means ‘A is brother of B’A – B means ‘A is daughter of B’A × B means ‘A is husband of B’A ÷ B means ‘A is son of B’If J + R ÷ T × K – Z, then how is K related to J?
A.	Sister
B.	Mother
C.	Maternal grandmother
D.	Paternal grandmother
Answer» C. Maternal grandmother

Discussion

810.	Pointing towards a girl, Veena said, “Her mother is the only daughter of my mother.” How is that girl related to Veena?
A.	Niece
B.	Mother
C.	Daughter
D.	Sister
Answer» D. Sister

Discussion

811.	‘A + B’ means ‘A is the wife of B’.‘A – B’ means ‘A is the husband of B’.‘A × B’ means ‘A is the son of B’.‘A ÷ B’ means ‘A is the mother of B’.If T + Q × P – U ÷ R ÷ S + V, the how is R related to Q?
A.	Sister
B.	Maternal grandmother
C.	Mother
D.	Daughter
Answer» B. Maternal grandmother

Discussion

812.	If K + L means K is the son of L; K - L means K is the sister of L; K % L means K is the brother of L and K x L means K is the mother of L, which of the following shows that D is the niece of A?
A.	D - B + C - A
B.	D + B - C % A
C.	D × B - C + A
D.	D + B × C – A
Answer» B. D + B - C % A

Discussion

813.	'A & B' means 'A is the brother of B'.'A $ B' means 'A is the wife of B'.'A @ B' means 'A is the son of B'.If H & D $ K @ T $ L, then how is K related to L?
A.	Son-in-law
B.	Father
C.	Brother
D.	Son
Answer» E.

Discussion

814.	Introducing a woman, a person said, "Her husband is the only son of my grandfather's only son." What relationship will the woman have with the man?
A.	Wife
B.	Daughter
C.	Sister
D.	Sister-in-Law
Answer» B. Daughter

Discussion

815.	A’s family planned for a trip to Dehradun. A reserved 6 train tickets for all his family members, B, C, D, E and F. C is the parents of B. but C is not female. A and B are husband and wife. E is the brother of C and F is brother of B. D is the daughter of A.A has _________
A.	3 children
B.	2 children
C.	1 child
D.	No child
Answer» D. No child

Discussion

816.	Looking at a photo, Anand said, “This man is the eldest son of my father’s mother - in - law”. How is Anand’s mother related to this man?
A.	Mother
B.	Daughter
C.	Maternal Aunt
D.	Sister
Answer» E.

Discussion

817.	'[email protected]' means 'A is the brother of B''A%B' means 'A is the daughter of B''A#B' means 'A is the sister of B''A&B' means 'A is the father of B'If J & R & K @ U % S # T & M, then which of the following statements is NOT correct?
A.	S is the wife of R.
B.	J is the paternal grandfather of K.
C.	T is the paternal uncle of K.
D.	U is the daughter of R.
Answer» D. U is the daughter of R.

Discussion

818.	Pointing to a lady, Diwakar said, "Her mother's only grandson is my son." Lady is not married. How is that lady related to Diwakar?
A.	Aunty
B.	Sister
C.	Mother
D.	Wife
Answer» C. Mother

Discussion

819.	Consider the following conditions and answer the question that follows.1) A=B means A is the brother of B2) [email protected] means A is the father of B3) A&B means A is the wife of B4) A#B means A is the daughter of B5) A%B means A is the mother of BIf [email protected]%Y, then how is "W‟ related to "Y‟?
A.	Grandmother
B.	Sister
C.	Mother
D.	Daughter
Answer» B. Sister

Discussion

820.	If G + H means G is the son H, G – H means G is the husband of H and G* H means G is the sister of H, which of the following shows that J is the mother-in-law of N?
A.	N + M* K - J
B.	N – M* K + J
C.	N* M – K + J
D.	None of these
Answer» E.

Discussion

821.	Kirti's grandmother, the mother of Vivek's mother, is the mother of Manish. Venu is the father of Kirti. How is mother of kirti related to Vivek?
A.	Grandmother
B.	Aunt
C.	Mother
D.	Cage
Answer» C. Mother

Discussion

822.	Pointing to a lady's photograph, Shambhu said "Her son is the only grandson of my mother". How is the lady's husband related to Shambhu's only sister?
A.	Data Insufficient
B.	Brother in Law
C.	Brother
D.	Uncle
Answer» D. Uncle

Discussion

823.	Christa is the wife of Eren. Levi is the brother of Mikasa. Hughes is the father of Levi. Victoria is the daughter of Christa. Mikasa is the sister of Eren. How is Levi related to Christa?
A.	Father
B.	Brother
C.	Brother in law
D.	Father in law
Answer» D. Father in law

Discussion

824.	A + B means ‘A is mother of B’A – B means ‘A is husband of B’A × B means ‘A is son of B’A ÷ B means ‘A is brother of B’If Q ÷ U × K × H – D + J, then how is K related to J?
A.	Brother
B.	Sister
C.	Father
D.	Paternal uncle
E.	Brother in law
Answer» B. Sister

Discussion

825.	R is P's father's nephew. S is P's cousin but not the brother of R. How is S related to R?A. FatherB. SisterC. MotherD. Aunt
A.	B
B.	C
C.	D
D.	A
Answer» B. C

Discussion

826.	‘A + B’ means ‘A is the sister of B’‘A - B’ means ‘A is the brother of B’‘A × B’ means ‘A is the mother of B’‘A ÷ B’ means ‘A is the father of B’If V + S × Q - P ÷ T + R × U, then how is R related to S?
A.	Daughter
B.	Grand-daughter
C.	Maternal grandmother
D.	Grandson
Answer» C. Maternal grandmother

Discussion

827.	Mamata is the mother of Surya. How is Mamata’s brother related to Surya’s brother?
A.	Grandfather
B.	Father
C.	Brother
D.	Maternal uncle
Answer» E.

Discussion

828.	In a family, three married sons and two unmarried daughters live with their parents. Each son has two daughters and a son. How many female members are there in the family?A. 7B. 8C. 9D. 12
A.	D
B.	B
C.	A
D.	C
Answer» B. B

Discussion

829.	A is Q's sister. C is Q's Mother. P is C's father. E is P's mother. How is Q related to P?
A.	Daughter
B.	Cannot be determined
C.	Grandson
D.	Granddaughter
Answer» C. Grandson

Discussion

830.	In a family, each son had the same number of sisters as he has brothers and each daughter has two times as many brothers as she has sisters, How many daughters are there in the family ?
A.	Six
B.	Three
C.	Seven
D.	Four
Answer» C. Seven

Discussion

831.	If ‘A ÷ B’ means ‘B is the brother of A’, ‘A × B’ means ‘B is the daughter of A’, ‘A @ B’ means ‘B is the wife of A’, ‘A # B’ means ‘B is the mother of A’, ‘A + B’ means ‘B is the son of A’, then which of the following statement(s) is/are not correct?I. ‘P ÷ Q + R + F @ J’ shows P as the aunt of R.II. ‘G # F ÷ L + T × R’ shows G as the brother of R.
A.	Neither I nor II
B.	Both I and II
C.	Only I
D.	Only II
Answer» C. Only I

Discussion

832.	A + B means ‘A is the father of B’;A × B means ‘A is the brother of B’;A ÷ B means ‘A is the sister of B’.Which of the following expressions means ‘H is the paternal grandson of P’?
A.	H + K + D × P ÷ M
B.	P + K + D ÷ H × M
C.	P + K + D × H ÷ M
D.	D + H + K × M ÷ P
Answer» C. P + K + D × H ÷ M

Discussion

833.	A,B,C,D,E and F are members of a club. There are two married couples in the group. A is the brother of D’s husband. C is the president of All India Working Women’s Association. F, a sitarist, is a bachelor. B’s wife is not a member of the club. Four of them belong to the same family. B and F are colleagues in the same organization.Who is married to C?
A.	A
B.	B
C.	A or B
D.	E
Answer» B. B

Discussion

834.	M is the brother of N. N is the brother of P. Q is the father of M. Based on these statements, which of the following statements cannot be definitely true?
A.	N is the son of Q
B.	M is the brother of P
C.	P is the brother of M
D.	N is the brother of M
Answer» D. N is the brother of M

Discussion

835.	The inclusion of ______ sets into R = {{1, 2}, {1, 2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 2, 3, 4, 5}} is necessary and sufficient to make R a complete lattice under the partial order defined by set containment.
A.	{1}, {2, 4}
B.	{1}, {1, 2, 3}
C.	{1}
D.	{1}, {1, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}
Answer» D. {1}, {1, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}

Discussion

836.	Consider the ordering relation a \| b ⊆ N x N over natural numbers N such that a \| b if there exists c belong to N such that a*c=b. Then ___________
A.	\| is an equivalence relation
B.	It is a total order
C.	Every subset of N has an upper bound under \|
D.	(N,\|) is a lattice but not a complete lattice
Answer» E.

Discussion

837.	Let R be a relation between A and B. R is asymmetric if and only if ________
A.	Intersection of D(A) and R is empty, where D(A) represents diagonal of set
B.	R⁻¹ is a subset of R, where R⁻¹ represents inverse of R
C.	Intersection of R and R⁻¹ is D(A)
D.	D(A) is a subset of R, where D(A) represents diagonal of set
Answer» B. R⁻¹ is a subset of R, where R⁻¹ represents inverse of R

Discussion

838.	The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is __________
A.	reflective, symmetric and transitive
B.	irreflexive, symmetric and transitive
C.	neither reflective, nor irreflexive but transitive
D.	irreflexive and antisymmetric
Answer» D. irreflexive and antisymmetric

Discussion

839.	Which of the following relations is the reflexive relation over the set {1, 2, 3, 4}?
A.	{(0,0), (1,1), (2,2), (2,3)}
B.	{(1,1), (1,2), (2,2), (3,3), (4,3), (4,4)}
C.	{,(1,1), (1,2), (2,1), (2,3), (3,4)}
D.	{(0,1), (1,1), (2,3), (2,2), (3,4), (3,1)
Answer» C. {,(1,1), (1,2), (2,1), (2,3), (3,4)}

Discussion

840.	Let R₁ and R₂ be two equivalence relations on a set. Is R₁ ∪ R₂ an equivalence relation?
A.	an equivalence relation
B.	reflexive closure of relation
C.	not an equivalence relation
D.	partial equivalence relation
Answer» B. reflexive closure of relation

Discussion

841.	Determine the number of equivalence classes that can be described by the set {2, 4, 5}.
A.	125
B.	5
C.	16
D.	72
Answer» C. 16

Discussion

842.	If the longest chain in a partial order is of length l, then the partial order can be written as _____ disjoint antichains.
A.	l²
B.	l+1
C.	l
D.	lˡ
Answer» D. lˡ

Discussion

843.	The number of equivalence relations of the set {3, 6, 9, 12, 18} is ______
A.	4
B.	2⁵
C.	22
D.	90
Answer» B. 2⁵

Discussion

844.	Let (A, ≤) be a partial order with two minimal elements a, b and a maximum element c. Let P:A –> {True, False} be a predicate defined on A. Suppose that P(a) = True, P(b) = False and P(a) ⇒ P(b) for all satisfying a ≤ b, where ⇒ stands for logical implication. Which of the following statements cannot be true?
A.	P(x) = True for all x S such that x ≠ b
B.	P(x) = False for all x ∈ S such that b ≤ x and x ≠ c
C.	P(x) = False for all x ∈ S such that x ≠ a and x ≠ c
D.	P(x) = False for all x ∈ S such that a ≤ x and b ≤ x
Answer» E.

Discussion

845.	Determine the characteristics of the relation aRb if a² = b².
A.	Transitive and symmetric
B.	Reflexive and asymmetry
C.	Trichotomy, antisymmetry, and irreflexive
D.	Symmetric, Reflexive, and transitive
Answer» E.

Discussion

846.	A relation R is defined on the set of integers as aRb if and only if a+b is even and R is termed as ______
A.	an equivalence relation with one equivalence class
B.	an equivalence relation with two equivalence classes
C.	an equivalence relation
D.	an equivalence relation with three equivalence classes
Answer» C. an equivalence relation

Discussion

847.	If R₁ and R₂ are binary relations from set A to set B, then the equality ______ holds.
A.	(Rᶜ)ᶜ= Rᶜ
B.	(A x B)ᶜ = Φ
C.	(R₁ U R₂)ᶜ = R₁ᶜ∪ R₂ᶜ
D.	(R₁ U R₂)ᶜ = R₁ᶜ ∩ R₂ᶜ
Answer» D. (R₁ U R₂)ᶜ = R₁ᶜ ∩ R₂ᶜ

Discussion

848.	The time complexity of computing the transitive closure of a binary relation on a set of n elements should be ________
A.	O(n)
B.	O(logn)
C.	O(n⁽ⁿ⁺⁽³/²⁾⁾)
D.	O(n3)
Answer» E.

Discussion

849.	For a, b ∈ R deﬁne a = b to mean that \|x\| = \|y\|. If [x] is an equivalence relation in R. Find the equivalence relation for [17].
A.	{,…,-11, -7, 0, 7, 11,…}
B.	{2, 4, 9, 11, 15,…}
C.	{-17, 17}
D.	{5, 25, 125,…}
Answer» D. {5, 25, 125,…}

Discussion

850.	The condition for a binary relation to be symmetric is _______
A.	s(R) = R
B.	R ∪ R = R
C.	R = Rᶜ
D.	f(R) = R
Answer» D. f(R) = R

Discussion

Explore topic-wise MCQs in Logical and Verbal Reasoning.

A & B means ‘A is mother of B’A % B means ‘A is daughter of B’A # B means ‘A is sister of B’A $ B means ‘A is son of B’If U & T & K # C % Z $ S, then how is T related to S?

A said to B, “You are my husband’s daughter-in-law’s son.” How is B related to A?

Pointing to Geeta, Ram said, "His sister's mother is the daughter-in-law of my father's mother." How is Geeta's mother related to Ram?

How is Y related to O ?

A + B means ‘A is father of B’A ÷ B means ‘A is wife of B’If M ÷ Q + R + O, then which of the following statement is NOT correct?

A is father of B. B is son of E. F is sister of E. G is daughter of F. How is B related to F?

Pointing to a photograph of a boy, a man said to his wife, "He is the only brother of daughter of paternal grandfather of your son." Who is the boy in the photograph?

N and M are sisters of O. M is the daughter of P and Q. P is the son of R. A is the mother - in- law of Q. B is daughter of R. What is the relationship of P to B?

A + B means ‘A is brother of B’A – B means ‘A is daughter of B’A × B means ‘A is husband of B’A ÷ B means ‘A is son of B’If J + R ÷ T × K – Z, then how is K related to J?

Pointing towards a girl, Veena said, “Her mother is the only daughter of my mother.” How is that girl related to Veena?

‘A + B’ means ‘A is the wife of B’.‘A – B’ means ‘A is the husband of B’.‘A × B’ means ‘A is the son of B’.‘A ÷ B’ means ‘A is the mother of B’.If T + Q × P – U ÷ R ÷ S + V, the how is R related to Q?

If K + L means K is the son of L; K - L means K is the sister of L; K % L means K is the brother of L and K x L means K is the mother of L, which of the following shows that D is the niece of A?

'A & B' means 'A is the brother of B'.'A $ B' means 'A is the wife of B'.'A @ B' means 'A is the son of B'.If H & D $ K @ T $ L, then how is K related to L?

Introducing a woman, a person said, "Her husband is the only son of my grandfather's only son." What relationship will the woman have with the man?

A’s family planned for a trip to Dehradun. A reserved 6 train tickets for all his family members, B, C, D, E and F. C is the parents of B. but C is not female. A and B are husband and wife. E is the brother of C and F is brother of B. D is the daughter of A.A has _________

Looking at a photo, Anand said, “This man is the eldest son of my father’s mother - in - law”. How is Anand’s mother related to this man?

'[email protected]' means 'A is the brother of B''A%B' means 'A is the daughter of B''A#B' means 'A is the sister of B''A&B' means 'A is the father of B'If J & R & K @ U % S # T & M, then which of the following statements is NOT correct?

Pointing to a lady, Diwakar said, "Her mother's only grandson is my son." Lady is not married. How is that lady related to Diwakar?

If G + H means G is the son H, G – H means G is the husband of H and G* H means G is the sister of H, which of the following shows that J is the mother-in-law of N?

Kirti's grandmother, the mother of Vivek's mother, is the mother of Manish. Venu is the father of Kirti. How is mother of kirti related to Vivek?

Pointing to a lady's photograph, Shambhu said "Her son is the only grandson of my mother". How is the lady's husband related to Shambhu's only sister?

Christa is the wife of Eren. Levi is the brother of Mikasa. Hughes is the father of Levi. Victoria is the daughter of Christa. Mikasa is the sister of Eren. How is Levi related to Christa?

A + B means ‘A is mother of B’A – B means ‘A is husband of B’A × B means ‘A is son of B’A ÷ B means ‘A is brother of B’If Q ÷ U × K × H – D + J, then how is K related to J?

R is P's father's nephew. S is P's cousin but not the brother of R. How is S related to R?A. FatherB. SisterC. MotherD. Aunt

‘A + B’ means ‘A is the sister of B’‘A - B’ means ‘A is the brother of B’‘A × B’ means ‘A is the mother of B’‘A ÷ B’ means ‘A is the father of B’If V + S × Q - P ÷ T + R × U, then how is R related to S?

Mamata is the mother of Surya. How is Mamata’s brother related to Surya’s brother?

In a family, three married sons and two unmarried daughters live with their parents. Each son has two daughters and a son. How many female members are there in the family?A. 7B. 8C. 9D. 12

A is Q's sister. C is Q's Mother. P is C's father. E is P's mother. How is Q related to P?

In a family, each son had the same number of sisters as he has brothers and each daughter has two times as many brothers as she has sisters, How many daughters are there in the family ?

A + B means ‘A is the father of B’;A × B means ‘A is the brother of B’;A ÷ B means ‘A is the sister of B’.Which of the following expressions means ‘H is the paternal grandson of P’?

M is the brother of N. N is the brother of P. Q is the father of M. Based on these statements, which of the following statements cannot be definitely true?

The inclusion of ______ sets into R = {{1, 2}, {1, 2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 2, 3, 4, 5}} is necessary and sufficient to make R a complete lattice under the partial order defined by set containment.

Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________

Let R be a relation between A and B. R is asymmetric if and only if ________

The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is __________

Which of the following relations is the reflexive relation over the set {1, 2, 3, 4}?

Let R₁ and R₂ be two equivalence relations on a set. Is R₁ ∪ R₂ an equivalence relation?

Determine the number of equivalence classes that can be described by the set {2, 4, 5}.

If the longest chain in a partial order is of length l, then the partial order can be written as _____ disjoint antichains.

The number of equivalence relations of the set {3, 6, 9, 12, 18} is ______

Determine the characteristics of the relation aRb if a² = b².

A relation R is defined on the set of integers as aRb if and only if a+b is even and R is termed as ______

If R₁ and R₂ are binary relations from set A to set B, then the equality ______ holds.

The time complexity of computing the transitive closure of a binary relation on a set of n elements should be ________

For a, b ∈ R deﬁne a = b to mean that |x| = |y|. If [x] is an equivalence relation in R. Find the equivalence relation for [17].

The condition for a binary relation to be symmetric is _______