Question

Let p: The kitchen is clean.

Let q: The bedroom is clean.

Which statement is true if the kitchen is clean but the bedroom is not clean?

If p is true, then q is true.
Statement q is true if and only if p is true.
Both p and q are true.
Statement p or q is true.

Answer 1

if the bedroom is not clean,then the kitchen is clean.

statement p or q is true

Answer 2

D. Statement p or q is true.

Explanation:

We are given,

p: The kitchen is clean

q: The bedroom is clean

Now, it is required to see which statement represents 'The kitchen is clean but the bedroom is not clean'.

Now, according to the options,

A. If p is true, then q is true. But here, in given statement q is not true.

B. q is true if and only if p is true. But, in the given statement, p has no impact on q to be true.

C. Both p and q are true. But, in the given statement, q is not true.

So, the options A, B, C are discarded.

Hence, option D i.e. 'Statement p or q is true' is correct.