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Binary Relation Domain of R and Range of R
1.
If A contains 6 elements and B has 7 elements then the number of all possible binary relations are?
a) 7x7
b) 6x6
c) 2
^{7}
d) 2
^{7 x 6}
2.
If the number of elements in set A is M and in set B, is N then number of binary relation in AxB will be_ _ _ _ .
a) mn
^{2}
b) 2
^{mn}
c) 3
^{mn}
d) mn
^{3}
3.
The Domain of R={(5,4), (5,7), (8,11)} is?
a) {5,8}.
b) {3,4,5,7,8,11}.
c) {4,5,7,11}.
d) {4,7,11}
4.
Domain of R is denoted by?
a) Dom R
b) (R) Dom
c) D of R
d) Dom (R)
5.
If X={1} and Y={a,b} then the binary relations of X x Y are?
a) R
_{1}
=
Æ
, R
_{2}
= {(1,a)}, R
_{3}
= {(1,b)}, R
_{4}
{(1,b),(1,b)}
b) R
_{1}
=
Æ
, R
_{2}
= {(2,a)}, R
_{3}
= {(1,b)}, R
_{4}
{(1,a),(1,b)}
c) R
_{1}
=
Æ
, R
_{2}
= {(1,a)}, R
_{3}
= {(1,b)},
d) R
_{1}
=
Æ
, R
_{2}
= {(1,a)}, R
_{3}
= {(1,b)}, R
_{4}
{(1,a),(1,b)}
6.
If A and B are two non-empty sets, then every subset R of set A x B is called _ _ _ _ _ _ .
a) Non binary relation.
b) Logic relation.
c) Logical relation.
d) Binary relation.
7.
The Domain of f = {(a,x), (b,y), (c,y),(d,t)} is
a) {b,y,t}
b) {b,y,y,t}
c) {x,y,t}
d) {a,b,c,d}
8.
Every subset of a Cartesian product is called _____________relation.
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9.
If the number of elements in set X and set Y is 3 each, the number of binary relations in X � Y is 32
a) True
b) False
10.
The Range of R={(3,6), (5,8), (8,13)} is {6,8,13}.
a) False
b) True
11.
The set consisting of second elements of all the odered pairs of R is called _ _ _ _ _ _ .
a) D of R
b) Domain of R
c) R of R
d) Range of R
12.
The Range of R={(3,4), (5,7), (8,11)} is?
a) {4,5,7,11}.
b) {4,7,11}
c) {3,4,5,7,8,11}.
d) {3,5,8}.
13.
If set R is a binary relation, then the set consisting of second elements of all the ordered pairs of R is called the Domain of R.
a) True
b) False
14.
Binary relations of A x B and B x A is _ _ _ _ _ _ _ .
a) Logical
b) Same
c) Illogical
d) Different
15.
If set R is a binary relation then the set consisting of first elements of all the orered pairs of R is called _ _ _ _ .
a) R of R
b) Domain of R
c) D of R
d) Range of R
16.
The set consisting of all first elements of the ordered pairs of a binary relation is called -------- of R.
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17.
The range of f = {(a,x), (b,y), (c,y),(d,t)} is
a) {b,y,t}
b) {x,y,y,t}
c) {x,y,t}
d) {a,b,c,d}
18.
Range of R is denoted by?
a) Range R
b) (R) Range
c) Range (R)
d) R of R
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