Archives

In An Infinite Geometric Series The First Term Is A And The Common Ratio Is R If The Sum Of The Series Is 4 And The Second Term Is 3 4 Then A R Is

(1) (4/7, 3/7) (2) (2, 3/8) (3) (3/2, 1/2) (4) (3, 1/4) Solution: Given first term = a Common ratio = r Sum, S = a/(1-r) = 4... View Article

Let R Be A Reflexive Relation On A Set A And I Be The Identity Relation On A Then

1) R ⊂ I 2) I ⊂ R 3) R = 1 4) None of these Solution: (3) A = {1, 2, 3} I = {(1, 1), (2, 2), (3, 3)} R = {(1, 1), (2, 2), (3, 3)} R = I... View Article

Let A 1 2 3 B 1 3 5 If Relational R From A To B Is Given By R 1 3 2 5 3 3 Then R 1 Is

1) {(3,3), (3,1), (5,2)} 2) {(1, 3), (2, 5), (3,3)} 3) {(1,3), (5,2)} 4) None of these Solution: (1) A = {1, 2, 3} B = {1, 3, 5} R =... View Article

If A Is The Set Of Even Natural Numbers Less Than 8 And B Is The Set Of Prime Numbers Less Than 7 Then The Number Of Relations From A To B Is

1) 29 2) 92 3) 32 4) 29 – 1 Solution: (1) A = {2, 4, 6 B = {2, 3, 5} Number of relations = 2mn m = 3, n = 3 29 is the correct... View Article

If R X Y X Y Belongs To Z X 2 Y 2 Less Than Or Equal To 4 Is A Relation In Z Then Domain Of R Is

1) {0,1,2} 2) {0, –1, –2} 3) {–2, –1, 0, 1, 2} 4) None of these Solution: (3) x2 + y2 ≤ 4 x, y ∈ Z D : {-2, -1, 0, 1, 2}... View Article

Let R Be A Relation On N Defined By R X Y X 2y 8 Then The Domain Of R Is

1) {2,4,8} 2) {2,4,6,8} 3) {2,4,6} 4) {1,2,3,4} Solution: (3) R = {(x, y) / x + 2y = 8} x = 1, 2, 3, 4, 5, 6, 7 y = 3.5, 3, 2.5, 2, 1.5,... View Article

A Relation R Is Defined From 2 3 4 5 To 3 6 7 10 By Xry X Is Relatively Prime To Y Then The Domain Of R Is

1) {2, 3, 5} 2) {3, 5} 3) {2, 3, 4} 4) {2, 3, 4, 5} Solution: (4) xRy ⇒ x is relatively prime to y Domain of R = {2, 3, 4, 5}... View Article

The Relation R Defined On The Set A 1 2 3 4 5 By R X Y Moulus Of X 2 Y 2 16 Is Given By

1) {(1,1), (2,1), (3,1), (4,1), (2,3)} 2) {(2,2), (3,2), (4,2), (2,4)} 3) {(3,3), (3,4), (5,4), (4,3), (3,1)} 4) None of these Solution: (4)... View Article

Let R Be A Reflexive Relation On A Finite Set A Having N Elements And Let There Be M Ordered Pairs In R Then

1) m ≥ n 2) m ≤ n 3) m = n 4) None of these Solution: (1) aRa has n elements. a ∈ A m ≥ n is the right answer.... View Article

Let R Be A Relation Of The Set Of Integers Given By Arb A 2 Power Of K Multiplied By B For Some Integers K Then R Is

1) An equivalence relation 2) Reflexive but not symmetric 3) Reflexive and transitive but not symmetric 4) Reflexive and symmetric but not... View Article

On The Set N Of All Natural Numbers Definite The Relation R By Arb If And Only If The Gcd Of A And B Is 2 Then R Is

1) Reflexive, but not symmetric 2) Symmetric only 3) Reflexive and transitive 4) Reflexive, symmetric and transitive Solution: (2) a, b ∈... View Article

Let A A B C And B 1 2 Consider A Relation R Defined From Set A To Set B Then R Is Equal To Set

1) A 2) B 3) A × B 4) B × A Solution: (3) R : A → B Total 3 * 2 = 6 A × B is the correct answer.... View Article

A Relation From P To Q Is

1) A universal set of P × Q 2) P × Q 3) An equivalent set of P × Q 4) A subset of P × Q Solution: (4) A relation from P to Q is a subset... View Article

If R Be A Relation Less Than From A 1 2 3 4 To B 1 3 5 That Is A B Belongs To R A B Then Ror 1 Is

1) {(1,3), (1,5), (2,3), (2,5),(3,5), (4,5)} 2) {(3,1), (5,1), (3,2), (5,2), (5,3), (5,4)} 3) {(3,3), (3,5), (5,3), (5,5)} 4) {(3,3), (3,4),... View Article

Let W Denote The Words In The English Dictionary Find The Relation R By R X Y Belongs To W W The Words X And Y Have At Least One Letter In Common

1) Not reflexive, symmetric and transitive 2) Reflexive, symmetric and not transitive 3) Reflexive, symmetric and transitive 4) Reflexive, not... View Article

M	T	W	T	F	S	S
	1	2	3	4	5	6
7	8	9	10	11	12	13
14	15	16	17	18	19	20
21	22	23	24	25	26	27
28	29	30	31