Question

The Statement - "Product of 38 and 72 is a multiple of 4." can be proved with the help of which of the following statements?

• A. Product of two odd natural numbers is always odd.
• B. Product of two even natural numbers is always divisible by 4.
• C. Product of an even and an odd natural number is always divisible by 2.
• D. Product of two even natural numbers is always divisible by 2.

Answer 1

The correct option is B Product of two even natural numbers is always divisible by 4.

Since we know that 38 and 72 are both even natural numbers and we have to prove that their product is a multiple of 4. We would need to choose a statement that fulfills our criteria for this proof.

We can use the given statement - "Product of two even natural numbers is always divisible by 4." for our proof as it fulfills all our criteria.

38 $\to$ even number
72 $\to$ even number

$\therefore$ Product of 38 and 72 is a multiple of 4.