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Multiples

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arbre
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Multiples [#permalink] New post   05 Jun 2022, 00:42
why is that Consecutive multiples of 9 are more spread out from each other than consecutive multiples of 3. would you mind give me some examples to better understand this?
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Re: Multiples [#permalink] New post   05 Jun 2022, 05:11
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arbre say you have a stamp collection, and as you count your stamps you observe that the number of stamps you own is a multiple of 3. How many more stamps must you obtain in order to have the next multiple of 3?

Now replace the number 3 with the number 9. How many more stamps must you obtain in order to have the next multiple of 9?

If your answer to the second question is greater than your answer to the first question, then consecutive multiples of 9 are more spread out than those of 3.

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Re: Multiples [#permalink] New post   05 Jun 2022, 17:28
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Hi arbre,

You've noticed one of the many patterns that exist in the realm of math - and since GMAT questions are all built around patterns, knowing the appropriate patterns (and being able to spot when they apply) are an essential part of performing at a high level on Test Day.

To answer your question in simple terms, to get from one multiple of 9 to the next higher multiple of 9, you have to "add 9" - whereas going from a multiple of 3 to the next higher multiple of 3, you only have to "add 3." Thus, the progressing multiples of 9 are more 'spread out' than the progressing multiples of 3 are.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com
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arbre
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Re: Multiples [#permalink] New post   05 Jun 2022, 23:10
EMPOWERgmatRichC wrote:
Hi arbre,

You've noticed one of the many patterns that exist in the realm of math - and since GMAT questions are all built around patterns, knowing the appropriate patterns (and being able to spot when they apply) are an essential part of performing at a high level on Test Day.

To answer your question in simple terms, to get from one multiple of 9 to the next higher multiple of 9, you have to "add 9" - whereas going from a multiple of 3 to the next higher multiple of 3, you only have to "add 3." Thus, the progressing multiples of 9 are more 'spread out' than the progressing multiples of 3 are.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com


Thanks again,
what about their standard deivsion , it should be all the same right ?
eg(3 6 9 12)/(9 18 27 36)
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Re: Multiples [#permalink] New post   05 Jun 2022, 23:10
avigutman wrote:
arbre say you have a stamp collection, and as you count your stamps you observe that the number of stamps you own is a multiple of 3. How many more stamps must you obtain in order to have the next multiple of 3?

Now replace the number 3 with the number 9. How many more stamps must you obtain in order to have the next multiple of 9?

If your answer to the second question is greater than your answer to the first question, then consecutive multiples of 9 are more spread out than those of 3.

Posted from my mobile device



Thanks! :please:
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Re: Multiples [#permalink] New post   06 Jun 2022, 13:40
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arbre wrote:
EMPOWERgmatRichC wrote:
Hi arbre,

You've noticed one of the many patterns that exist in the realm of math - and since GMAT questions are all built around patterns, knowing the appropriate patterns (and being able to spot when they apply) are an essential part of performing at a high level on Test Day.

To answer your question in simple terms, to get from one multiple of 9 to the next higher multiple of 9, you have to "add 9" - whereas going from a multiple of 3 to the next higher multiple of 3, you only have to "add 3." Thus, the progressing multiples of 9 are more 'spread out' than the progressing multiples of 3 are.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com


Thanks again,
what about their standard deivsion , it should be all the same right ?
eg(3 6 9 12)/(9 18 27 36)


Hi arbre,

In simple terms, the Standard Deviation of a group of numbers is a measure of how 'spread out' the group of numbers is. The 'closer together' a group of a numbers is, the smaller the S.D. (and if all of the numbers are the same, then the S.D. = 0); the 'farther apart' a group of numbers is, the larger the S.D.

The two groups of numbers (3, 6, 9, 12) and (9, 18, 27, 36) do NOT have the same S.D. The group (9, 18, 27, 36) is more spread out, so it has a higher S.D.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com
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Re: Multiples [#permalink]
06 Jun 2022, 13:40

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