Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 14 Apr 2016
Posts: 8

If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
Updated on: 02 Oct 2016, 10:34
Question Stats:
71% (00:45) correct 29% (00:39) wrong based on 292 sessions
HideShow timer Statistics
If a, b, c, d, and e are integers and cde = 0, is d = 0 ? (1) abc = 30 (2) ace = 0 I got the question right, but is my reasoning correct?
If cde = 0, then c, d or e must equal 0.
(1) Tells us that abc = 30. No information about d. But we can say that c is different than 0. Insufficient.
(2) Tells us that ace = 0. No information about d. But we can say that a, c or e must equal 0. Insufficient.
Combining both statements: the prompt tells us that c, d or e = 0. (1) That c is not 0, so d or e must equal 0. (2) Based on statement 1, c can't be 0, so a or e is 0. If cde = 0, is d = 0 ? Since d or e could equal 0, both statements combined are still insufficient. Answer E.
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by mipek on 01 Oct 2016, 12:53.
Last edited by mipek on 02 Oct 2016, 10:34, edited 1 time in total.



Current Student
Joined: 08 Jun 2013
Posts: 34

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
01 Oct 2016, 16:33
mipekYour reasoning is absolutely on point. That is the simplest and straight forward approach to solve this question.



Math Expert
Joined: 02 Aug 2009
Posts: 5889

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
01 Oct 2016, 19:09
mipek wrote: If a, b, c, d, and e are integers and cde = 0, is d = 0 ?
(1) abc = 30 (2) ace = 0
I got the question right, but is my reasoning correct?
If cde = 0, then c, d or e must equal 0.
(1) Tells us that abc = 30. No information about d. But we can say that c is different than 0. Insufficient.
(2) Tells us that ace = 0. No information about d. But we can say that a, c or e must equal 0. Insufficient.
Combining both statements: the prompt tells us that c, d or e = 0. (1) That c is not 0, so d or e must equal 0. (2) Based on statement 1, c can't be 0, so a or e is 0. If cde = 0, is d = 0 ? Since d or e could equal 0, both statements combined are still insufficient. Answer E. Hi The procedure is correct but a flaw while you combine the two statements.. e is surely 0II tells you either or all of a,c and E are 0 ..BUT a and c are surely NOT 0, so E is zero.. Now cde is 0, so either of three or some or all are 0.. BUT c is not 0, and e is 0.. Still cannot say anything about d.. it can be any number Insufg
_________________
Absolute modulus :http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
GMAT online Tutor



Intern
Joined: 14 Apr 2016
Posts: 8

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
02 Oct 2016, 07:21
chetan2u wrote: Hi The procedure is correct but a flaw while you combine the two statements..e is surely 0 II tells you either or all of a,c and E are 0 ..BUT a and c are surely NOT 0, so E is zero..
Now cde is 0, so either of three or some or all are 0.. BUT c is not 0, and e is 0.. Still cannot say anything about d.. it can be any number Insufg
chetan2u, Saying that in statement II a and c are surely NOT 0; would mean that you took some information from statement I with you, which is not permissible unless you are combining both statements. Am I missing something?



Math Expert
Joined: 02 Aug 2009
Posts: 5889

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
02 Oct 2016, 08:59
mipek wrote: chetan2u wrote: Hi The procedure is correct but a flaw while you combine the two statements..e is surely 0 II tells you either or all of a,c and E are 0 ..BUT a and c are surely NOT 0, so E is zero..
Now cde is 0, so either of three or some or all are 0.. BUT c is not 0, and e is 0.. Still cannot say anything about d.. it can be any number Insufg
chetan2u, Saying that in statement II a and c are surely NOT 0; would mean that you took some information from statement I with you, which is not permissible unless you are combining both statements. Am I missing something? Hi You are correct. I have written that I have taken both statements together
_________________
Absolute modulus :http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
GMAT online Tutor



Intern
Joined: 11 Jan 2015
Posts: 32

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
18 Jan 2017, 01:15
Combining both statements: abc + ace = 30 + 0 > ac(b+e)=30 > So to evaluate the stem we only know that c is not 0 > insufficient



Intern
Joined: 18 Jan 2017
Posts: 36

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
18 Jan 2017, 11:09
abc = 30
So, we know that a, b and c are not 0
but it is given that ace = 0
Since a and c are not 0, clearly e = 0
cde=0
We know c is not 0, we know e=0, but still nothing about d.



Intern
Joined: 11 Jun 2011
Posts: 3
Location: India
GPA: 4

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
01 May 2017, 05:44
malavika1 wrote: abc = 30
So, we know that a, b and c are not 0
but it is given that ace = 0
Since a and c are not 0, clearly e = 0
cde=0
We know c is not 0, we know e=0, but still nothing about d. But since we know that a, c, d, e are all different integers then if e must be ZERO, then d must be non zero, so answer is C. What is wrong in this logic?



Intern
Joined: 12 May 2017
Posts: 13

If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
12 May 2017, 03:46
Quote: But since we know that a, c, d, e are all different integers then if e must be ZERO, then d must be non zero, so answer is C. What is wrong in this logic? Who says they are different integers? The info in the question stem only says they are integers. IF the question stem contained a part which said that the integers were unique, then yes, you would be right and the answer was C. BUT, that's not the case, so d could be more then 0. So the answer must be E.



Intern
Joined: 18 Jan 2017
Posts: 36

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
15 May 2017, 22:46
MaximD wrote: IF the question stem contained a part which said that the integers were unique, then yes, you would be right and the answer was C. I feel that if the question stem had mentioned that that the integers were unique, then the answer would have been B. Then we would have: cde = 0 ace = 0 Subtracting, (da)ce = 0 d  a cannot be zero, because then d = a (but that's not possible since integers were unique). So, ce = 0 This means that either c or e is zero. So, d has to be nonzero.



Intern
Joined: 18 Jan 2017
Posts: 36

Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ? [#permalink]
Show Tags
18 May 2017, 00:01
Can someone confirm if my analysis above is correct?




Re: If a, b, c, d, and e are integers and cde = 0, is d = 0 ?
[#permalink]
18 May 2017, 00:01






