Write the converse of the statement: "If two integers $a$ and $b$ are such that $a>b$, then $a-b$ is always a positive integer".

Given below are two statements

$p : 25$ is a multiple of $5$
$q : 25$ is a multiple of $8$.

Write the compound statements connecting these two statements with "and" and "or".
In both cases check the validity of the statement.

State the converse and contrapositive of the following statement:

$$I go to a beach whenever it is a sunny day.

State the converse and contrapositive of the following statement: 

If it is hot outside, then you feel thirsty.

Write the negation of the following statement:

New York is the Capital of America.

Write the negation of the following statement:

The number $5$ is less than $7$.

Write the negation of the following statement:

Every natural number is an integer.

Write the negation of the following statement:

Sania plays tennis.

For each of the following compound statements first identify the connecting words and
then break into component statements.

The square of an integer is positive or negative.