Examine the validity of the statements.

(a) All triangular numbers are odd numbers.
(b) All odd numbers are triangular numbers.
(c) All square numbers are even.

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Solution

(a) All triangular numbers are odd numbers.
Incorrrect; 6 is an even number and is also a triangular number.

(b) All odd numbers are triangular numbers.
Incorrect; 5 is an odd number but not a triangular number.

(c) All square numbers are even.
Incorrect; the square of 3 = 9 is an odd number.

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Examine the validity of the statements. (a) All triangular numbers are odd numbers. (b) All odd numbers are triangular numbers. (c) All square numbers are even.

(a) All triangular numbers are odd numbers. Incorrrect; 6 is an even number and is also a triangular number. (b) All odd numbers are triangular numbers. Incorrect; 5 is an odd number but not a triangular number. (c) All square numbers are even. Incorrect; the square of 3 = 9 is an odd number.

Examine the validity of the statements.

(a) All triangular numbers are odd numbers.
(b) All odd numbers are triangular numbers.
(c) All square numbers are even.

(a) All triangular numbers are odd numbers.
Incorrrect; 6 is an even number and is also a triangular number.

(b) All odd numbers are triangular numbers.
Incorrect; 5 is an odd number but not a triangular number.

(c) All square numbers are even.
Incorrect; the square of 3 = 9 is an odd number.