MTH202 Discrete Mathematics Assignment No.2 Solution Spring Semester 2013

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Ment Assignment 2 Of MTH202 (SPRING 2013)

Maximum Marks: 20
Due Date: 13-05-2013

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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.
(i) Write the relation R in tabular form
(ii) Determine whether the relation is reflexive or not. Marks = 2 + 3