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# GMAT Diagnostic Test Question 11

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GMAT Diagnostic Test Question 11 [#permalink]

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06 Jun 2009, 21:06
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GMAT Diagnostic Test Question 11
Field: special characters, number sets
Difficulty: 650

If S is the sum of the digits of a given number, T is the sum of the digit of S, and G is the sum of digits in T. For example S of 987 is 9+8+7 = 24, T of S is 2+4 = 6 and G of 6 is 6. Therefore G of 987 is 6. Which of the following has the greatest G?

A. 94123
B. 91964
C. 64678
D. 62355
E. 45689
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Last edited by bb on 28 Sep 2013, 20:24, edited 3 times in total.
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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07 Jun 2009, 16:45
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Explanation
Official Answer: E. The explanation follows as under: G of 45689 is 5 where as the rest have G smaller than 5.

A. S = 9+4+1+2+3 = 19, T = 1+9 = 10 and G = 1+0 = 1.
B. S = 29, T = 11 and G= 2.
C. S = 31, T = 4, and G = 4.
D. S = 21, T = 3, and G = 3.
E. S = 32, T = 5, and G = 5.

Therefore E is the highest.
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Last edited by bb on 28 Sep 2013, 11:34, edited 1 time in total.
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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18 Jul 2009, 08:07
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Pdf release goes to the 2nd level only and B (T=11) would be correct choice in such case.
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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04 Aug 2009, 00:51
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Hey,
pls check results for C and D - seems that you swaped the two lines.

Cheers
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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04 Aug 2009, 01:41
Thank you, I've updated the OE. +1.
daltin wrote:
Hey,
pls check results for C and D - seems that you swaped the two lines.

Cheers

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Re: GMAT Diagnostic Test Question 10 [#permalink]

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14 Jan 2010, 20:10
LMBO...So I got the right answer and totally did not follow the instructions....disclaimer: was rushing to leave work and looking @ problems. For some reason, I just summed the digits. I omitted 4's and 9's right away and compared what was left: 5, 16, 18, 8, and 19.

Are there any similar problems posted so that I can give it another try and follow instructions? I'm telling myself, "Reading is fundamental."
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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01 Mar 2010, 17:09
There is an error in the last pdf... it doesn't specify what is g. It says only that g of 786 is 6. In case of a 11 I thought g of 11 would be 11!

Nice problem!
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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03 Mar 2010, 00:04
Hi,
I've checked the latest PDF and here's how this question looks in there:
Quote:
If S is the sum of the digits of a given number, T is the sum of the digit of S, and G is the sum of digits in T. For example S of 987 is 9+8+7 = 24, T of S is 2+4 = 6 and G of 6 is 6. Therefore G of 987 is 6. Which of the following has the greatest G)?

arturocb86 wrote:
There is an error in the last pdf... it doesn't specify what is g. It says only that g of 786 is 6. In case of a 11 I thought g of 11 would be 11!

Nice problem!

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Re: GMAT Diagnostic Test Question 10 [#permalink]

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02 Apr 2010, 09:02
pretty straight-forward to the answer: E
summing the individual digits repeatedly for 3 consecutive times gives the G of a number.
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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12 Dec 2010, 19:19
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There's a really handy technique called, "casting out 9s," which is good to use whenever a problem comes up that involves "summing up the digits." It's a way to compare all the numbers to each other.

In this problem, instead of laboriously adding up all the digits of every answer choice, you can quickly reduce them by "casting out the nines:"

In general:
Step 1: cross out all nines and any two or more digits that add up to nine or multiples of 9 (3,6 or 4,2,3, or 6,4,8, etc).
Step 2: add up the digits you have left
Step 3: keep adding the digits together until you have a single digit (keep in mind 9=0)
Step 4: compare all the single digits of each answer choice and see which is greatest in order to answer this question.

This is really quick:

ex:
A. 94123=1
Step 1: cross off 9, and then cross off 4,2,3 b/c they add to 9.
Step 2: what's left is 1, so that's your single digit for this number

B. 91964=2
Step 1: cross off 9, and 9
Step 2: add 1+6+4, which equals 11
Step 3: add 1+1, which equals 2, so that's your single digit for this number

C. 64678=4
Step 1: cross off 6,4,8
Step 2: add 6+7, which equals 13
Step 3, add 1+3, which equals 4, so that's your single digit for this number

D. 62355=3
Step 1: cross off 6,3
Step 2: add 2+5+5, which equals 12
Step 4: add 1+2=3, so that's your single digit for this number

E. 45689=5
Step 1: cross of 4,5, and 9
Step 2: add 6+8, which equals 14
Step 3: add 1+4, which equals 5, so this is your single digit for this number, and this is also the greatest one, and thus the answer.

This method is so easy you can do it in your head. Try it!
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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17 May 2011, 10:14
Hello!

For this question I got it wrong because I ruled out answers C-E because the question stem read "and G is the sum of digits in T." I incorrectly regarded this statement to mean that T would have more than one digit (aka digit"s"). Can someone comment on this for me? Am I reading too much into the problem? Thanks in advance.
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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28 Oct 2011, 22:00
An easy one. Ans is E.
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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21 Mar 2012, 08:51
The "casting out 9's" is awesome but who would know to do this? I've been through kaplan, Mgmat, princeton review, and never seen this.

Are there other applications for this and if so PLEASE provide some examples.

Can I do this with any number or is there some logic by which it only works with 9's? What if I casted out all the 10's?

Thanks
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Re: GMAT Diagnostic Test Question 10 [#permalink]

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04 Nov 2012, 13:12
I added up the numbers and guessed the average . The number with the highest average should have the biggest "G."

A. 94123 = 19/5
B. 91964 = 29/5
C. 64678 = 31/5
D. 62355 = 21/5
E. 45689 = 32/5

You don't even have to workout the average because the denominator for all is the same. The choice with the largest nominator will have the greatest average. In this case, it's E.

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Re: GMAT Diagnostic Test Question 11 [#permalink]

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10 Oct 2013, 18:44
how often does a question like this show up on the test?
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Re: GMAT Diagnostic Test Question 11 [#permalink]

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19 Nov 2013, 10:16
alexandermaksumov wrote:
how often does a question like this show up on the test?

I think there is no perfect answer to your question as I have not witnessed the same type of question in other practice tests.

But its a simple: the question specifies a format which you have to repeatedly follow with the answer choices.

Hope it helps
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Re: GMAT Diagnostic Test Question 11 [#permalink]

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05 May 2014, 01:58
if the summation of any two no is 10 and it can be considered as lowest sum. for eg between 94123 and 45689
94123=9+1+423
45689=4+6+589

comparitively the number contains 589 is the biggest, similarily if we do the small calculation for the rest of the numbers. We can easily arrive at option E
Re: GMAT Diagnostic Test Question 11   [#permalink] 05 May 2014, 01:58
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# GMAT Diagnostic Test Question 11

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