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# If b=0.cdef where c,d,e and f represent non-zero digits,

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If b=0.cdef where c,d,e and f represent non-zero digits, [#permalink]

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10 Jul 2011, 10:10
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Difficulty:

45% (medium)

Question Stats:

58% (01:14) correct 42% (01:26) wrong based on 118 sessions

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If b=0.cdef where c,d,e and f represent non-zero digits, what is b?

(1) 10'000 * b is divisible by 4938
(2) c>d>e>f and f = 6

[Reveal] Spoiler:
My solution is

Statement 1 --> Not sufficient because b can be 4938 or any multiple of 4938. Therefore, b has got multiple values and therefore this statement is insufficient.

Statement 2--> f = 6 so e can be 7 or 8 Therefore insufficient.

Statement 1 & 2 together are insufficient. So my answer is E. But the book says its B as they say c=3, d = 4, e =5. But my question is stem doesn't say they are consecutive integers so it can't be? Guys - am I reading something wrong over here? can you please help?
[Reveal] Spoiler: OA

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E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Last edited by walker on 26 Dec 2012, 05:44, edited 2 times in total.
Edited the question.

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10 Jul 2011, 10:36
enigma123 wrote:
If b=0.cdef where c,d,e and f represent non-zero digits, what is b?
1) 1000 * b is divisible by 4938
2) c>d>e>f and f = 6

1) It should be
10000 * b is divisible by 4938
b can be 0.4938 OR 0.9876
Not Sufficient.

2) c>d>e>f and f = 6
c=9, d=8, e=7, f=6
b=0.9876
Sufficient.

Note e can't be 8. If e=8; d=9; Which digit will we assign c to?
Thus, e can only be 7.
Likewise, d=8 and c=9
Sufficient.

Ans: "B"

enigma123:
Please hide everything except the question and option in spoiler.
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Re: If b=0.cdef where c,d,e and f represent non-zero digits, [#permalink]

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01 Oct 2012, 23:23
in these kinds of questions, actually how did you know that the question meant that c,d,e and f represent non zero different digits? it didn't say that the digits are different, so for example, you could have d and e =8, so I believe that the question should have mentioned that these are different non zero digits, and NOT ONLY saying that they are non zero digits.

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Re: If b=0.cdef where c,d,e and f represent non-zero digits, [#permalink]

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02 Oct 2012, 00:00
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KUDOS
in these kinds of questions, actually how did you know that the question meant that c,d,e and f represent non zero different digits? it didn't say that the digits are different, so for example, you could have d and e =8, so I believe that the question should have mentioned that these are different non zero digits, and NOT ONLY saying that they are non zero digits.

(2) c>d>e>f and f = 6
c, d, e, and f cannot be equal.
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Re: If b=0.cdef where c,d,e and f represent non-zero digits, [#permalink]

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18 Nov 2016, 22:56
Great Question.
Here b=0.cdef
To get b we would need c,d,e,f

Statement 1
10000*b=0.cdef*10000=> divisible by 4938
here two values of b are possible
b=0.4938
or
b=0.9876
Hence not sufficient
Statement 2
c>d>e>f
and f=6
Thinking of all possible values
b=0.9876
Hmm
This is actually the only legitimate value as if we take e as 7 then we cannot get a legitimate value for a
hence b must be 0.9876
So its Sufficient

Hence B
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Re: If b=0.cdef where c,d,e and f represent non-zero digits,   [#permalink] 18 Nov 2016, 22:56
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