Given That A B Belongs To 0 1 2 9 With A B 0 And A B 10 X A 10 B 100 Power Of Y 1000 Then 1 X 1 Y
Given that, a, b ϵ {0,1,2…9} with a + b ≠ 0 and (a + [b / 10])x = ([a... View Article
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The Equation X 2y 2z Equals 1 And 2x 4y 4z 9 Have
1) Only one solution 2) Only two solutions 3) Infinite number of solutions 4) None of these Solution: (3) Infinite... View Article
If L M N Are Real L M Then The Roots By The Equation L M X 2 5 L M X 2 L M 0 Are
1) x > y 2) x < y 3) x = y 4) real and unequal Solution: (4) real and... View Article
Let L Be The Set Of All Straight Lines In The Euclidean Plane
1) Only reflexive 2) Only symmetric 3) Only transitive 4) Equivalence Solution: (4) l1 is parallel to l2 (l, l)... View Article
Let A P Q R Which Of The Following Is An Equivalence Relation On A
1) R1 = {(p, q), (q, r), (p, r), (p, p)} 2) R2 = {(r, p), (r, p), (r, r),... View Article
If A 1 2 3 B 1 4 6 9 And R Is A Relation From A To B Defined By X Is Greater Than Y The Range Of R Is
1) {1,4,6,9} 2) {4,6,9} 3) {1} 4) None of these Solution: (3) R is a relation A to B defined... View Article
The Solution Set Of 8x 6 Mod 14 X Belongs To Z Are
1) [8] ∪ [6] 2) [8] ∪ [14] 3) [6] ∪ [13] 4) [8] ∪ [6] ∪ [13] Solution: (3)... View Article
Let N Denote The Set Of All Natural Numbers And R Be The Relation On N Times N Defined By A B Relation C D If Ad Times B Plus C Bc Times A D Then R Is
1) Symmetric only 2) Reflexive only 3) Transitive only 4) An equivalence relation Solution: (4) For (a, b), (c, d)... View Article
Let A 2 4 6 8 A Relation R On A Is Defined By R 2 4 4 2 4 6 6 4 Then R Is
1) Antisymmetric 2) Reflexive 3) Symmetric 4) Transitive Solution: (3) Given A = {2, 4, 6, 8}; R = {(2,4),... View Article
Given The Relation R 1 2 2 3 On The Set A 1 2 3 The Minimum Number Of Ordered Pairs Which When Added To R Make It An Equivalence Relation Is
1) 5 2) 6 3) 7 4) 8 Solution: (3) R is reflexive if it is contains (1, 1), (2,... View Article
In A Certain Town 25 Percent Of Families Own A Phone And 15 Percent Own A Car 65 Percent Of Families Own Neither A Phone Nor A Car 2000 Families Own Both A Car And A Phone
1. 10% of families own both a car and a phone 2. 35% of families own either car or a... View Article
If N A 3 And N B 6 And A B Then The Number Of Elements In A Intersection Of B Is Equal To
1) 3 2) 9 3) 6 4) None of these Solution: (1) Since A ⊆ B, A ∩ B =... View Article
If A X F X 0 And B X G X 0 Then A Intersection Of B Will Be
If A = [x : f (x) = 0] and B = [x : g (x) = 0], then A... View Article
Let A And B Be Two Non Empty Subsets Of A Set X Such That A Is Not A Subset Of B Then
1) A is always a number of the complement of B 2) B is always a subset of A 3)... View Article
Let R Be The Real Line Consider The Following Subsets Of The Plane R Times R Which One Of The Following Is True
S = {(x, y) : y = x + 1 and 0 < x < 2} T = {(x, y)... View Article
Suppose A 1 A 2 A 30 Are Thirty Sets Each Having 5 Elements And B 1 B 2 B N Are N Sets Each With 3 Elements
Suppose A1, A2, ……A30 are thirty sets each having 5 elements and B1, B2 …. Bn is n sets each... View Article
If An A X Belongs To N And N Intersection Of Cn Equals Dn Where B C Belongs To N Are Relatively Prime Then
1) d = bc 2) c = bd 3) b = cd 4) None of these Solution: (1) bN =... View Article
Two Finite Sets Have M And N Elements The Total Number Of Subsets Of The First Is 56 More Than The Total Number Of Subsets Of The Second Set The Values Of M And N Are
1) 7, 6 2) 6, 3 3) 5, 1 4) 8, 7 Solution: (2) Let A consist of m elements... View Article
Let R Be The Set Of Real Numbers Statement One A X Y Belongs To R R Y X Is An Integer Is An Equivalence Relation On R
Statement I A = {(x, y) ∈ R × R : y – x is an integer} is an equivalence... View Article
Let A Relation R Be Defined By R 4 5 1 4 4 6 7 6 3 7 Then R Inverse Of R Is
1) {(1,1), (4, 4), (4, 7), (7, 4), (7, 7), (3,3)} 2) {(1,1), (4, 4), (7, 7), (3,3)} 3) {(1,5),... View Article
