Monday, 13 May 2013
Q1: Write the
conditional, biconditional, inverse, converse, and contra-positive statements
of the following:
p = “You are
a truthful and honest person.”
q = “People
like and respect you.”
Marks = 5
Q2: Given A = Set of first 5 prime numbers
B
= Set of first 5 natural numbers
C = Set of first 5 odd
natural numbers
(i)
Write the given sets A, B and C into Tabular form. Marks = 3
(ii)
Use the above sets A, B and C to verify the
identity
(A – B) – C = (A – C) – B Marks = 3+3+1
Q3: Let A = { 2,
3, 4, 5, 6, 7, 8}.
Define a
relation R on A as for 
xRy 
x divides y.
xRy x divides y.
(i)
Write the relation R in tabular form
(ii)
Determine whether the relation is reflexive or
not. Marks = 2 + 3
