- What is the inverse of the
function y =?
(a) x = (b) x = (c) x
= (d) x = - Let R be the relation defined
on the set of natural number N as
aRb; a, b N, if a divides b. Then,
which one of the following is
correct?
(a) R is reflexive only (b) R is
symmetric only (c) R is transitive
only (d) R is reflexive and
transitive - Let N be the set of integers. A
relation R on N is defined as R=
*( )| + Then,
which one of the following is
correct?
(a) R is symmetric but not
reflexive (b) R is reflexive but not
symmetric (c) R is symmetric and
reflexive but not transitive (d) R
is an equivalence relation - If f(x)=
{
what is/are the value (s) of (fof)
(√ )?
(a) 0 (b) 1 (c) Both 0 and 1 (d)
None of these
- A relation R is defined over the
set of non-negative integers as xRy
= 36. What is R?
(a) {(0, 6)} (b) {(0, 6), (√ , 5), (3,
3 √ )} (c) {(6, 0), (0, 6)} (d)
{(√ ), (2, 4√ ), (5, √ ), 4√ ,
2)} - Consider the following
statements:
I. Parallelism of lines is an
equivalence relation.
II. xRy, if x is a father of y, is an
equivalence relation.
Which of the statements given
above is/are correct?
(a) I only (b) II only (c) Both I
and II (d) Neither I nor II - In a Euclidean plane, which
one of the following is not an
equivalence relation?
(a) Parallelism of lines (a line
being deemed parallel to itself)
(b) Congruence of triangles
(c) Similarity of triangles
(d) Orthogonality of lines- Which one of the following is
the domain of the relation R
defined on the set N of natural
numbers as
R= {(m, n) : 2m + 3n = 30; m, n
N}?
(a) {2, 4, 6, 8} (b) {3, 7, 11, 15} (c)
{3, 6, 9, 12} (d) {3, 6, 9, 12, 15}