Question

Simon multiplied 4 consecutive numbers and said that, the product is always divisible by 6. Is her statement correct?

• A. No, the statement is incorrect.
• B. The statement is valid in some cases but not always.
• C. Yes, the statement is always valid.
• D. It cannot be determined and depends on the numbers taken.

Answer 1

The correct option is C Yes, the statement is always valid.

The statement is always valid because if we take 4 consecutive numbers, then in any case we will get numbers which will be even and one which is divisible by 3 because every third number is divisible by 3.
Let us take an example and understand this, 7 × 8 × 9 × 10 and divide it by 6.

As we can see that the number 8 is even and 9 is a multiple of 3 so the number is divisible by 6. A number to be divisible by 6 has to be divisible by both 2 and 3. This is the required condition.