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S is the set of all integer multiples of 999 ...

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jaspelinho
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S is the set of all integer multiples of 999 ... [#permalink] New post   Updated on: 26 May 2018, 17:04
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S is the set of all integer multiples of 999

T is the set of all integer multiples of 9999

Quantity A
Quantity B
The number of elements in the intersection of sets S and T
9


• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
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Official Answer
A

Originally posted by jaspelinho on 18 Aug 2016, 06:27.
Last edited by GreenlightTestPrep on 26 May 2018, 17:04, edited 3 times in total.
Edited by Carcass
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Re: S is the set of all integer multiples of 999 ... [#permalink] New post   18 Aug 2016, 08:07
Expert Reply
Please follow the rules for posting in quant section rules-for-posting-please-read-this-before-posting-1083.html

  • Use at least 3 tags
  • Formatting properly the question using the tag quantity above the post itself when you create a new one
  • Posting if you have the OA and OE.


Thank you for your collaboration

regards
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Re: S is the set of all integer multiples of 999 ... [#permalink] New post   19 Aug 2016, 05:43
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jaspelinho wrote:
S is the set of all integer multiples of 999

T is the set of all integer multiples of 9999

Quantity A
Quantity B
The number of elements in the intersection of sets S and T
9


• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


Notice that (999)(9999) is an integer multiple of 999
ALSO, (999)(9999) is an integer multiple of 9999
So, sets S and T have this value in common.

Now notice that (2)(999)(9999) is an integer multiple of 999, AND it's an integer multiple of 9999. So, sets S and T have this value in common.

Also, (3)(999)(9999) is an integer multiple of 999, AND it's an integer multiple of 9999. So, sets S and T have this value in common.

And (4)(999)(9999) is an integer multiple of 999, AND it's an integer multiple of 9999. So, sets S and T have this value in common.

As you can see, we can continue this line of reasoning FOREVER.

So, we get:
Quantity A: INFINITY
Quantity B: 9

Answer:
Show: ::
A
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Re: S is the set of all integer multiples of 999 ... [#permalink] New post   24 Jul 2024, 11:40
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: S is the set of all integer multiples of 999 ... [#permalink]
24 Jul 2024, 11:40
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