Sets, Relations and Functions
Showing 50 of 161 · 161 total
- 1.Let R be a relation defined on the set 1,2,3,4 1,2,3,4 by R=((a,b),(c,d)):2a+3b=3c+4d. The…Medium
- 2.Let A=0,1,2, ,9.Medium
- 3.Let A=-2,-1,0,1,2,3,4.Medium
- 4.The number of elements in the relation R=(x,y):4x^2+y^2<52,x,y Z isMedium
- 5.Let the relation R on the set M=1,2,3, ,16 be given by R=(x,y):4y=5x-3,x,y M.Medium
- 6.Let A=x:|x^2-10| 6 and B=x:|x-2|>1.Medium
- 7.Let A=2,3,5,7,9.Medium
- 8.The number of relations, defined on the set a,b,c,d, which are both reflexive and symmetri…Easy
- 9.Let A = 0, 1, 2, 3, 4, 5.Medium
- 10.Let A = ( , ) R R : | - 1| 4 and | - 5| 6 and B = ( , ) R R : 16( - 2)^2+ 9( - 6)^2 144 .Medium
- 11.Let A=-3,-2,-1,0,1,2,3 and R be a relation on A defined by xRy if and only if 2x-y 0,1.Medium
- 12.Consider the sets A=(x,y) R R:x^2+y^2=25,B=(x,y) R R:x^2+9y^2=144, C=(x,y) Z Z:x^2+y^2 4 a…Hard
- 13.Let A=-2,-1,0,1,2,3.Medium
- 14.Let A=-3,-2,-1,0,1,2,3.Medium
- 15.Let A=1,2,3, .,100 and R be a relation on A such that R=(a,b):a=2b+1.Hard
- 16.Let A be the set of all functions f:Z Z and R be a relation on A such that R=(f,g):f(0)=g(…Medium
- 17.Let S=N 0.Medium
- 18.Define a relation R on the interval [0,( )/(2)) by x R y if and only if ^2x- ^2y=1.Medium
- 19.The relation R=(x,y):x,y Z and x+y is even is:Easy
- 20.Let A=x (0, )-( )/(2): _(2/ )| x|+ _(2/ )| x|=2 and B=x 0:x(x-4)-3|x-2|+6=0.Medium
- 21.Let X=R R.Medium
- 22.Let A=(x,y) R R:|x+y| 3 and B=(x,y) R R:|x|+|y| 3.Medium
- 23.Let R=(1,2),(2,3),(3,3) be a relation defined on the set 1,2,3,4.Medium
- 24.Let A=1,2,3, ,10 and B=(m)/(n):m,n A,m<n and gcd(m,n)=1.Medium
- 25.The number of non-empty equivalence relations on the set 1,2,3 is :Medium
- 26.Let [A=2,3,6,8,9,11] and [B=1,4,5,10,15].Medium
- 27.Let A=1,2,3,4,5.Medium
- 28.Let A=n [100,700] N:n is neither a multiple of 3 nor a multiple of 4.Medium
- 29.Let the relations R_1 and R_2 on the set [X=1,2,3, , 20] be given by [R_1=(x, y): 2 x-3 y=…Medium
- 30.Let a relation R on N N be defined as: (x_1,y_1)R(x_2,y_2) if and only if x_1 x_2 or y_1 y…Medium
- 31.Consider the relations R_1 and R_2 defined as a R_1 b a^2+b^2=1 for all a, b R and (a, b) …Medium
- 32.If R is the smallest equivalence relation on the set [1,2,3,4] such that [(1,2),(1,3) R], …Medium
- 33.Let R be a relation on [Z Z] defined by (a, b) R(c, d) if and only if a d-b c is divisible…Medium
- 34.Let A and B be two finite sets with m and n elements respectively.Medium
- 35.Let S=1,2,3, , 10.Medium
- 36.Let A=1,3,4,6,9 and B=2,4,5,8,10.Medium
- 37.An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'.Medium
- 38.Let A=2,3,4 and B=8,9,12.Medium
- 39.Let A=1,2,3,4,5,6,7.Easy
- 40.Among the relations S=(a,b):a,b R-0,2+(a)/(b)>0 and T=(a,b):a,b R,a^2-b^2 Z,Medium
- 41.Which of the following is not correct for relation R on the set of real numbers ?Medium
- 42.The number of elements in the set x [] R : (|x| - 3) |x + 4| = 6 is equal to :Medium
- 43.Let A and B be two sets containing four and two elements respectively.Medium
- 44.Let R be the set of real numbers.Medium
- 45.Consider the following relations R=(x,y)|x,y are real numbers and x=wy for some rational n…Medium
- 46.If A, B and C are three sets such that A B=A C and A B=A C, then :Easy
- 47.Let W denote the words in the English dictionary.Medium
- 48.Let R=(3,3),(6,6),(9,9),(12,12),(6,12), (3,9),(3,12),(3,6) be a relation on the set A=3,6,…Easy
- 49.Let R=(1,3),(4,2),(2,4),(2,3),(3,1) be a relation on the set A=1,2,3,4.Easy
- 50.Let R=(x,y) N N: _e(x+y) 2.Medium