Sets, Relations and Functions
Showing 50 of 161 · 161 total
- 101.The number of elements in the set S = [0,2] : 34 - 52 - 26 + 2 = 0 is:Medium
- 102.An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'.Medium
- 103.Let A = zC : 1|z-(1+i)|2 and B = z A : |z-(1-i)|=1.Medium
- 104.Let A = xR: |x+1|<2 and B = xR: |x-1|2.Medium
- 105.Let A = nN : HCF(n,45)=1 and B = 2k : k1,2,,100.Medium
- 106.Let a set A = A_1 A_2 A_k, where A_i A_j= for i j, 1 i,j k.Medium
- 107.Let A = 1,2,3,4,5,6,7.Medium
- 108.Let A = 1,2,3,4,5,6,7 and B = 3,6,7,9.Medium
- 109.Let R_1 and R_2 be two relations defined on R by a,R_1,b ab0 and a,R_2,b a b.Medium
- 110.For N, consider a relation R on N given by R = (x,y) : 3x+ y is a multiple of 7.Medium
- 111.Let R be a relation from the set 1,2,3,,60 to itself such that R=(a,b) : b=pq, where p,q3 …Medium
- 112.Let A = nN : n is a 3-digit number, B=9k+2 : kN and C=9k+l : kN for some l (0<l<9).Medium
- 113.In a school, there are three types of games to be played.Medium
- 114.Let A = nN : n^2 n+10000, B=3k+1 : kN and C=2k : kN.Medium
- 115.If A = xR: |x-2|>1, B=xR: x^2-3>1, C=xR: |x-4|2, and Z is the set of all integers, then th…Medium
- 116.Out of all the patients in a hospital, 89% are found to be suffering from heart ailment an…Medium
- 117.Let X = nN : 1 n50.Medium
- 118.Set A has m elements and set B has n elements.Medium
- 119.A survey shows that 73% of the persons working in an office like coffee, whereas 65% like …Medium
- 120.A survey shows that 63% of the people in a city read newspaper A, whereas 76% read newspap…Medium
- 121.Let _i=1^50X_i = _i=1^nY_i = T, where each X_i contains 10 elements and each Y_i contains …Medium
- 122.Let S=1,2,3,,100.Medium
- 123.Let Z be the set of integers.Medium
- 124.In a class of 140 students numbered 1 to 140, all even-numbered students opted for Mathema…Medium
- 125.Let A,B and C be sets such that A B C.Medium
- 126.Two newspapers A and B are published in a city.Medium
- 127.Let S = xR : x0 and 2|x-3|+x(x-6)+6=0.Medium
- 128.If f(x)+2f!(1x)=3x, x0, and S=xR : f(x)=f(-x); then S:Medium
- 129.Let P = : -=√2 and Q = : +=√2 be two sets.Medium
- 130.In a certain town, 25% of the families own a phone and 15% own a car; 65% families own nei…Medium
- 131.A relation on the set A=x : |x|<3, xZ, where Z is the set of integers, is defined by R=(x,…Medium
- 132.Let X=1,2,3,4,5.Medium
- 133.Let R be the real line.Medium
- 134.Let R be the set of real numbers.Medium
- 135.Let P = [ ] : sin[ ] - cos[ ] = [ 2 , ] and Q = [ ] : sin[ ] + cos[ ] = [ 2 , ] be two set…Medium
- 136.Consider the following two binary relations on the set A = a, b, c : R1 = (c, a), (b, b), …Medium
- 137.Let N denote the set of all natural numbers.Easy
- 138.Two newspapers A and B are published in a city.Medium
- 139.If R = (x, y) : x, y [ ] Z, x2 + 3y2 [ ] 8 is a relation on the set of integers Z, then th…Medium
- 140.Let R1 and R2 be two relation defined as follows : R1 = (a, b) [ ] R2 : a2 + b2 [ ] Q and …Hard
- 141.Consider the two sets : A = m [ ] R : both the roots of x2 -- (m + 1)x + m + 4 = 0 are rea…Medium
- 142.Let A = 2, 3, 4, 5, ....., 30 and '[ ]' be an equivalence relation on A [] A, defined by (…Medium
- 143.Define a relation R over a class of n [] n real matrices A and B as "ARB iff there exists …Medium
- 144.Let R = (P, Q), P and Q are at the same distance from the origin be a relation, then the e…Easy
- 145.Let N be the set of natural numbers and a relation R on N be defined by [R = (x,y) N N:x^3…Medium
- 146.Let R_1 and R_2 be two relations defined on [R] by [a ,R_1 ,b a b 0] and [a ,R_2 ,b a b] T…Medium
- 147.For [ N], consider a relation [R] on [N] given by [R=(x, y): 3 x+ y] is a multiple of 7[].Medium
- 148.Let R1 = (a, b) [] N [] N : |a - b| [] 13 and R2 = (a, b) [] N [] N : |a - b| [] 13.Medium
- 149.Let a set A = A1 [] A2 [] .....Medium
- 150.Let P(S) denote the power set of [S=1,2,3, ., 10].Medium