Mathematical Re...

The metal that does not displace hydrogen from an acid is

Consider the statement, Given that people who are in need of refuge and consolation are apt to do odd things, it is clear that people who are apt to do odd things are in need of refuge and consolation. This statement, of the form$$ (P \Rightarrow Q) \Rightarrow (Q \Rightarrow P)$$, is logically equivalent to

Negation of "$$2+3=5$$ and $$8<10$$" is

The inverse of the proposition $$(p\wedge \sim q)\Rightarrow r$$ is

Which of the following is the inverse of the proposition : 'If a number is a prime then it is odd"?

Which of the following is not proposition?

Given: All seniors are mature students. Which statement expresses a conclusion that logically follows from the given statement?

The inverse of statement " If a quadrilateral is a rectangle,then it has two pairs of parallel sides."

STATEMENT: All cabbages are red.
Which of the following statements shows that the statement above is FALSE?

"If p, then q" is logically equivalent to which of the following?
I. If q, then p
II. If not p, then not q.
III. If not q, then not p