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The sum of 3 consecutive even numbers is...

The sum of 3 consecutive even numbers is always divisible by :

A

12

B

6

C

18

D

24

Text Solution

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The correct Answer is:
B
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The sum of the 3 consecutive even numbers is always divisible by :

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Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

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The sum of three consecutive odd numbers is always divisible by I. 2 II. 3 III. 5 IV. 6 Only I (b) Only II (c) Only I and II (d) Only I and III

Sum of two consecutive odd numbers is always divisible by 4.