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Question

Given below are three conditions for discrete mathematics:

A: If 2+4=7, then 3+4=8

B: if 3+5=8, then the earth is flat

C: if A and B are true, then 5+4=11.

Choose the correct option.


A

A is true, B and C are false

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B

B is true, A and C are false

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C

C is true, A and B are false

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D

B is false, A and C are true

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Solution

The correct option is D

B is false, A and C are true


Step1: Given data and assumptions.

Three given conditions A, B and C.

Let p and q be the propositions relation of the given condition.

Step2: Construct a truth table for pq.

We know that,

pqpq
TTT
TFF
FTT
FFT

As compare the truth table of p and q with the given conditions A, B and C we get.

A is true, B is false, C is true.

Hence, option D is correct.


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