The sum of three consecutive even numbers is always divisible by Options ........

Quantitative Aptitude (CPO) Number System

The sum of three consecutive even numbers is always divisible by ____.

Options:

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Let’s break it down:

- Say your first even number is 2n. Then the next two are 2n+2 and 2n+4.

- Add those up: 2n + (2n+2) + (2n+4) = 6n + 6

- So, the sum is always a multiple of 6—that’s the common factor here.

- Let’s check the options:

- Option 1: 12 — Not always, since 6n+6 isn’t always divisible by 12.

- Option 2: 6 — Spot on. 6 is a factor no matter what.

- Option 3: 18 — Only for some values, not always.

- Option 4: 24 — Definitely not always.

So yes— Option 2: 6 is the right call.

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