Question

# "If A is true, then B is false", is logically equivalent to which of the following?I. If A is false, then B is true.II. If B is false, then A is true.III. If B is true, then A is false

A
None of the above
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B
III only
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C
I and II only
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D
II and III only
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E
I, II and III
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Solution

## The correct option is B III onlyGiven if A is true ,then B is false(I) if A is false ,then B is true not possible because A not logical repleted to B (II) if B is false ,then A is true not possible because B not logical repleted to A(III)If A is true then B is false, but then A is false. Which means B is true, but then A is true. Which means B is false.Then (III) is write

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