Question

Which of the following statement(s) is/are true?

• A.
  On dividing an integer by an integer , the result will always be an integer.
• B.
  On dividing an integer by zero, the result will always be zero.
• C.
  On multiplying an integer by zero, the result will always be zero.
• D.
  On dividing an integer by one, the result will always be the integer itself.

Answer 1

Answer: (C), (D)

The correct options are
C
On multiplying an integer by zero, the result will always be zero.
D

On dividing an integer by one, the result will always be the integer itself.
Let's look at the statements:

Statement 1 : ​​​
It is false. Let's take an example $3÷2$.
Here, 3 and 2 are integers.
If we do this operation, the result comes out to be 1.5.
$\therefore$ On dividing an integer by an integer, the result is not always an integer.

Statement 2:
It is false because if any integer is divided by zero the result is always not defined or undefined.

Statement 3:
It is true because when we multiply any integer by zero, we always get the result as zero.

Statemet 4:
It is true. Let's take $3÷1$.
Here, $3÷1$ = 3.
$\therefore$ On dividing an integer by one, the result will always be the integer itself.