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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
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No it is the divisibility and consecutive rule and is critical to take into account.

It will permit you to solve a question faster instead to pick numbers and waste your time.

What is important to note is an exam such as GRE (and also GMAT or all the exams which involve math) does not have the equation one rule= I solve this question. Instead, you do have a combination of rules to address a problem. I mean it is like you have to repair a car: it has some mechanic parts for which you do have specific tools, and it also has electronic components for which you do have other tools. Overall, you repair the car. A question is your car to fix: you could have the need of this tool, of that tool or they combined.

I hope this example helps you to get it :)

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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
Carcass wrote:
No it is the divisibility and consecutive rule and is critical to take into account.

It will permit you to solve a question faster instead to pick numbers and waste your time.

What is important to note is an exam such as GRE (and also GMAT or all the exams which involve math) does not have the equation one rule= I solve this question. Instead, you do have a combination of rules to address a problem. I mean it is like you have to repair a car: it has some mechanic parts for which you do have specific tools, and it also has electronic components for which you do have other tools. Overall, you repair the car. A question is your car to fix: you could have the need of this tool, of that tool or they combined.

I hope this example helps you to get it :)

Regards


Yeah, I just thought there might be some mathematical law behind it. I tried some examples and saw that is always true. So I pretty much just had to try different things and be creative to get to the solution.
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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
SherpaPrep wrote:
Firstly, let's understand this function. We're supposed to add 4, 5, and 6 to whatever integer is plugged in, and then multiply the 3 results. It's very useful to know that in any set of, say, 5 consecutive integers, exactly one of them must be divisible by 5. Try it out. Similarly, in the same set of 5 consecutive integers, 1 or 2 of them must be divisible by 4. If the first one is divisible by 4, then the last must also be divisible by 4. If one of the numbers in the middle is divisible by 4, then it'll be the only one. In the same set, 2 or 3 of the numbers will be even. You get the idea.

In this set of 3 consecutive integers, we know that one of them is divisible by 3, and 1 or 2 must be divisible by 2. So if we multiply them all, the result must be divisible by both 3 and 2, or in other words, it's divisible by 6. Thus the answer is C.


so using this rule would this also mean that from a set of 7 consecutive integers, I can infer 1) at least one of them will be divisible by 7, 2)one or two of them will be divisible by 6 depending on whether the first number in the set (From smallest to greatest) is divisible by 6. In the same 2 or three numbers will be odd(?)
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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
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Look at here for the divisibility rules and more

Attachment:
GMAT Club Math Book v3 - Jan-2-2013.pdf [2.83 MiB]
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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
Carcass wrote:
Look at here for the divisibility rules and more

Attachment:
GMAT Club Math Book v3 - Jan-2-2013.pdf


Regards

I will take a look!
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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
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Re: The function ∆(m) is defined for all positive integers m as [#permalink]
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