Answer: 3)The correct option is: Both the statement and the converse is false. 4) The correct option is: yes, because the statement and its converse both true.
Explanation:
3) Given statement: If a whole number is even, then the number is divisible by 4.
The above statement is not always true because there exist the whole even number which is not divisible by 4. For example, 6 is the whole enve number but 6 is not divisible by 4.
[tex]\frac{6}{4} =\frac{3}{2}[/tex]
Hence the statement is false.
Converse of the statement: If a number is divisible by 4, then it must be a whole even number.
The above converse is not true for all. because there exist the negative numbers which are divisible by 4. For example, -8 is divisible by 4 but -8 is not a whole number.
Therefore, the correct option is "Both the statement and the converse is false".
4)Given statement: If today is Monday, then yesterday was Sunday.
The above statement is universally true.
Converse of the statement: If yesterday was Sunday, then today is Monday.
The above converse is universally true.
Therefore, the correct option is: yes, because the statement and its converse both true.
