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Intern
Joined: 02 Jul 2012
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The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
 06 Mar 2013, 03:05
Question Stats:
55% (01:52) correct
45% (01:24) wrong based on 2 sessions
I came across this Data Sufficiency question white taking an old Cambridge Test. The symbols, #, &, @, $, represent non zero digits. If #2 + 3& = @$ What is represented by @$ (1) # = 2x& (2) 10 x@ + $ = 95 This problem can be solved using pen and putting some effort, but I am trying to avoid it. Here's my approach.
Considering (1) - & can only be 1/ 2/ 3. It can not be 4, since # + 3 gives a single digit number @. But, that's all what we can conclude. So 1 alone is not sufficient. 1
Considering (2) - $ has to be 5 and @ 9. Since we are multiplying by 10, @ will be the tens digit and $ the units digit.
That's what we want. So the answer will be 2.
We don't need to know the exact value. Since the multiplying value was 10, we easily came to know the value of the constants.
If you have some better method, please share. _________________
Give KUDOS if the post helps you... 
Last edited by Bunuel on 06 Mar 2013, 03:12, edited 1 time in total.
Renamed the topic and edited the question.
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Director
Joined: 02 Sep 2012
Posts: 558
Location: Italy
Concentration: Finance, Entrepreneurship
GMAT Date: 08-02-2013
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
06 Mar 2013, 03:43
I agree with you, the answer shuold be B. 10@ + $ = 95 divide by 10 @+ 0,1$=9,5 @ is the unit digit => 9 $ is the first decimal => 5
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Intern
Joined: 02 Jul 2012
Posts: 22
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
06 Mar 2013, 04:37
Zarrolou wrote: I agree with you, the answer shuold be B.
10@ + $ = 95
divide by 10
@+ 0,1$=9,5
@ is the unit digit => 9
$ is the first decimal => 5 I didn't get you, how can you divide it by 10 and get @ + 0 ? 
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Director
Joined: 02 Sep 2012
Posts: 558
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Concentration: Finance, Entrepreneurship
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328
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
06 Mar 2013, 05:03
Thoughtosphere wrote: Zarrolou wrote: I agree with you, the answer shuold be B.
10@ + $ = 95
divide by 10
@+ 0,1$=9,5
@ is the unit digit => 9
$ is the first decimal => 5 I didn't get you, how can you divide it by 10 and get @ + 0 ? I didn't get you too: where did I write "@ + 0"? What do you mean? We can see it this way @ + $/10= 9 + 5/10 and because @ and $ are single digit numbers -> @=9 and $ = 5 is the only answer In the and we have the same conclusion
_________________
Experience without theory is blind, but theory without experience is mere intellectual play.
Immanuel Kant , General Systems
First rule about GMATClub : you do not talk about GMATClub
Second rule about GMATClub : a great post deserves a +1 KUDOS
Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC CR NEW!! , My Quant
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Intern
Joined: 02 Jul 2012
Posts: 22
Location: India
GMAT Date: 08-30-2013
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Kudos [?]:
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
06 Mar 2013, 23:15
Zarrolou wrote: Thoughtosphere wrote: Zarrolou wrote: I agree with you, the answer shuold be B.
10@ + $ = 95
divide by 10
@+ 0,1$=9,5
@ is the unit digit => 9
$ is the first decimal => 5 I didn't get you, how can you divide it by 10 and get @ + 0 ? I didn't get you too: where did I write "@ + 0"? What do you mean? We can see it this way @ + $/10= 9 + 5/10 and because @ and $ are single digit numbers -> @=9 and $ = 5 is the only answer In the and we have the same conclusion No we can not see it that way. @ + $/10 and (@ + $) / 10 are two completely different things. Consider numbers Let @ = 9, $ = 5. @ + $/10 would mean, 9.5 whereas (@ + $) / 10 would mean, 1.4 Hope it helps you... 
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Manager
Joined: 04 Oct 2011
Posts: 228
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GMAT 2: 0 Q0 V0
GPA: 3
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Kudos [?]:
17
[0], given: 44
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
07 Mar 2013, 00:22
Thoughtosphere wrote: I came across this Data Sufficiency question white taking an old Cambridge Test. The symbols, #, &, @, $, represent non zero digits. If #2 + 3& = @$ What is represented by @$ (1) # = 2x& (2) 10 x@ + $ = 95 This problem can be solved using pen and putting some effort, but I am trying to avoid it. Here's my approach.
Considering (1) - & can only be 1/ 2/ 3. It can not be 4, since # + 3 gives a single digit number @. But, that's all what we can conclude. So 1 alone is not sufficient. 1
Considering (2) - $ has to be 5 and @ 9. Since we are multiplying by 10, @ will be the tens digit and $ the units digit.
That's what we want. So the answer will be 2.
We don't need to know the exact value. Since the multiplying value was 10, we easily came to know the value of the constants.
If you have some better method, please share. I will give a try #2 + 3& ---- @$ ---- i) # = 2x& this will not be much useful if &=2 #=4 (Note : here we are not mentioned all digits are distinct, if it so we can omit this) if &=3 #=6 (Note : here we are not mentioned all digits are distinct, if it so we can omit this) if &=4 #=8 ii)10 x@ + $ = 95 Since each symbol is single digit, at most @ can be 9, which leads to 10x9=90 + 5 =95 We got two numbers, now simple pluggin and get it solved 62 + 33 ---- 95 ---- pls let me know if im wrong
_________________
GMAT - Practice, Patience, Persistence
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Intern
Joined: 02 Jul 2012
Posts: 22
Location: India
GMAT Date: 08-30-2013
GPA: 2.3
WE: Consulting (Consulting)
Followers: 0
Kudos [?]:
7
[0], given: 1
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
07 Mar 2013, 01:42
shanmugamgsn wrote: Thoughtosphere wrote: I came across this Data Sufficiency question white taking an old Cambridge Test. The symbols, #, &, @, $, represent non zero digits. If #2 + 3& = @$ What is represented by @$ (1) # = 2x& (2) 10 x@ + $ = 95 This problem can be solved using pen and putting some effort, but I am trying to avoid it. Here's my approach.
Considering (1) - & can only be 1/ 2/ 3. It can not be 4, since # + 3 gives a single digit number @. But, that's all what we can conclude. So 1 alone is not sufficient. 1
Considering (2) - $ has to be 5 and @ 9. Since we are multiplying by 10, @ will be the tens digit and $ the units digit.
That's what we want. So the answer will be 2.
We don't need to know the exact value. Since the multiplying value was 10, we easily came to know the value of the constants.
If you have some better method, please share. I will give a try #2 + 3& ---- @$ ---- i) # = 2x& this will not be much useful if &=2 #=4 (Note : here we are not mentioned all digits are distinct, if it so we can omit this) if &=3 #=6 (Note : here we are not mentioned all digits are distinct, if it so we can omit this) if &=4 #=8 ii)10 x@ + $ = 95 Since each symbol is single digit, at most @ can be 9, which leads to 10x9=90 + 5 =95 We got two numbers, now simple pluggin and get it solved 62 + 33 ---- 95 ---- pls let me know if im wrong You have hit the bulls eye..
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Manager
Joined: 04 Oct 2011
Posts: 228
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GMAT 2: 0 Q0 V0
GPA: 3
Followers: 0
Kudos [?]:
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink]
10 Mar 2013, 07:07
Thanks Buddy... Kudos will help 
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Re: The symbols, #, &, @, $, represent non zero digits. If #2
[#permalink]
10 Mar 2013, 07:07
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