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06 Mar 2013, 03:05
00:00

Difficulty:

75% (hard)

Question Stats:

59% (02:42) correct 41% (01:42) wrong based on 70 sessions

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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

[Reveal] Spoiler:
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.
[Reveal] Spoiler: OA

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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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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink] ### Show Tags 06 Mar 2013, 03:43 I agree with you, the answer shuold be B. 10@ +$ = 95

divide by 10

@+ 0,1$=9,5 @ is the unit digit => 9$ is the first decimal => 5
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink] ### Show Tags 06 Mar 2013, 04:37 Zarrolou wrote: I agree with you, the answer shuold be B. 10@ +$ = 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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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink] ### Show Tags 06 Mar 2013, 05:03 Thoughtosphere wrote: Zarrolou wrote: I agree with you, the answer shuold be B. 10@ +$ = 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 $= 5 is the only answer In the and we have the same conclusion _________________ It is beyond a doubt that all our knowledge that begins with experience. Kant , Critique of Pure Reason Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b] Current Student Joined: 02 Jul 2012 Posts: 213 Location: India Schools: IIMC (A) GMAT 1: 720 Q50 V38 GPA: 2.6 WE: Information Technology (Consulting) Followers: 15 Kudos [?]: 253 [0], given: 84 Re: The symbols, #, &, @,$, represent non zero digits. If #2 [#permalink]

### Show Tags

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
(@ + $) / 10 would mean, 1.4 Hope it helps you... _________________ Give KUDOS if the post helps you... Manager Joined: 04 Oct 2011 Posts: 221 Location: India Concentration: Entrepreneurship, International Business GMAT 1: 440 Q33 V13 GPA: 3 Followers: 0 Kudos [?]: 53 [0], given: 44 Re: The symbols, #, &, @,$, represent non zero digits. If #2 [#permalink]

### Show Tags

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

[Reveal] Spoiler:
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
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink] ### Show Tags 07 Mar 2013, 01:42 shanmugamgsn wrote: Thoughtosphere wrote: I came across this Data Sufficiency question white taking an old Cambridge Test. The symbols, #, &, @,$, represent non zero digits.

If #2 + 3& = @$What is represented by @$

(1) # = 2x&
(2) 10 x@ + $= 95 [Reveal] Spoiler: This problem can be solved using pen and putting some effort, but I am trying to avoid it. Here's my approach. Considering (1) - & can only be 1/ 2/ 3. It can not be 4, since # + 3 gives a single digit number @. But, that's all what we can conclude. So 1 alone is not sufficient. 1 Considering (2) -$ 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@ + $= 95 Since each symbol is single digit, at most @ can be 9, which leads to 10x9=90 + 5 =95 We got two numbers, now simple pluggin and get it solved 62 + 33 ---- 95 ---- pls let me know if im wrong You have hit the bulls eye.. _________________ Give KUDOS if the post helps you... Manager Joined: 04 Oct 2011 Posts: 221 Location: India Concentration: Entrepreneurship, International Business GMAT 1: 440 Q33 V13 GPA: 3 Followers: 0 Kudos [?]: 53 [0], given: 44 Re: The symbols, #, &, @,$, represent non zero digits. If #2 [#permalink]

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10 Mar 2013, 07:07
Thanks Buddy...

Kudos will help
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Re: The symbols, #, &, @, $, represent non zero digits. If #2 [#permalink] ### Show Tags 13 Jan 2015, 08:01 1) no suff: # is max = 8 and min 4 & is max 4 and min 1 2) is suff: @ only possbility to be 5 (single Digit number)$ can only be 9. (single Digit number multiplied by 10)

we need no calculation