If R = set of real number and Q = set of rational number then R - Q = …….

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

Fill in the blanks by selecting appropriate alternative for the following questions : If Q is the set of rational numbers and Z is the set of integers then Q cap Z="…………."

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , pandqa r ei n t e g e r ss u c ht h a tn ,q"!="0andq m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

Q cup Z = Q , where Q is the set of rational numbers and Z is the set of integers.

Let N be the set of natural numbers and the relation R be defined on N such that R={(x,y) : y=2x, y in N} ,

Tick the set which is infinite (A) The set of whole numbers lt 10 (B) The set of prime numbers lt 10 (C) The set of integers lt 10 (D) The set of factors of 10

If R is the set of all real numbers, what do the cartesian products R xx R and R xx R xx R represent?

Let ** be a binary operation on the set Q of rational numbers as follows : a "*" b = a+ab Find which of the binary operations are commutative and which are associative.

Let ** be a binary operation on the set Q of rational numbers as follows : a "*" b = (a-b)^(2) Find which of the binary operations are commutative and which are associative.

Let ** be a binary operation on the set Q of rational numbers as follows : a "*" b = (ab)/(4) Find which of the binary operations are commutative and which are associative.