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# If each of c, d, and e is a positive one-digit number, what is the val

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Math Expert
Joined: 02 Sep 2009
Posts: 50544
If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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03 Dec 2017, 23:14
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Difficulty:

45% (medium)

Question Stats:

68% (01:52) correct 32% (01:50) wrong based on 66 sessions

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If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

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Joined: 09 Mar 2017
Posts: 516
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Re: If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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04 Dec 2017, 00:05
1
If each of c, d, and e is a one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) d and e can take following values:
(-4 , -6) , (4,6), (-6, -4), (6,4 )
Insufficient

(2) d/c = 4: d and c have same sign
d/e = 2/3: d and e have same sign
==> c,d and e have same sign
Also, d= 4c = 2e/3
e= 6c
insufficient

(1) & (2)
c=1 which means c, d and e are all positive (from statement 2)
and e= 6
Sufficient
--C--

correct me if I missed something
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq

Math Expert
Joined: 02 Sep 2009
Posts: 50544
Re: If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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04 Dec 2017, 00:08
TaN1213 wrote:
If each of c, d, and e is a one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) d and e can take following values:
(-4 , -6) , (4,6), (-6, -4), (6,4 )
Insufficient

(2) d/c = 4: d and c have same sign
d/e = 2/3: d and e have same sign
==> c,d and e have same sign
Also, d= 4c = 2e/3
e= 6c
insufficient

(1) & (2)
c=1 which means c, d and e are all positive (from statement 2)
and e= 6
Sufficient
--C--

correct me if I missed something

Edited: If each of c, d, and e is a positive one-digit number, what is the value of e?
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Re: If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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04 Dec 2017, 01:35
Bunuel wrote:
If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) 1*d*e = 24 OR d*e = 24. We could have d/e as 4/6 (e could be 4 or 6) but we could also have d/e as 3/8 (e could be 3 or 8). Thus e can take 4 values. Not sufficient.

(2) d=4c, and 3d=2e or e=3d/2 OR e=3*4c/2 = 6c
So we have e = 6c, where both c and e have to be positive one-digit numbers. The only case possible is c=1, e=6 (because for c=2 or 3 etc, e will be two digit number).
So Sufficient.

Director
Joined: 09 Mar 2017
Posts: 516
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Re: If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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04 Dec 2017, 01:55
amanvermagmat wrote:
Bunuel wrote:
If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) 1*d*e = 24 OR d*e = 24. We could have d/e as 4/6 (e could be 4 or 6) but we could also have d/e as 3/8 (e could be 3 or 8). Thus e can take 4 values. Not sufficient.

(2) d=4c, and 3d=2e or e=3d/2 OR e=3*4c/2 = 6c
So we have e = 6c, where both c and e have to be positive one-digit numbers. The only case possible is c=1, e=6 (because for c=2 or 3 etc, e will be two digit number).
So Sufficient.

Can we consider .5 as one digit number?
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq

Math Expert
Joined: 02 Sep 2009
Posts: 50544
Re: If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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04 Dec 2017, 02:08
TaN1213 wrote:
amanvermagmat wrote:
Bunuel wrote:
If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) 1*d*e = 24 OR d*e = 24. We could have d/e as 4/6 (e could be 4 or 6) but we could also have d/e as 3/8 (e could be 3 or 8). Thus e can take 4 values. Not sufficient.

(2) d=4c, and 3d=2e or e=3d/2 OR e=3*4c/2 = 6c
So we have e = 6c, where both c and e have to be positive one-digit numbers. The only case possible is c=1, e=6 (because for c=2 or 3 etc, e will be two digit number).
So Sufficient.

Can we consider .5 as one digit number?

No. Single-digit numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
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Joined: 09 Nov 2013
Posts: 80
Re: If each of c, d, and e is a positive one-digit number, what is the val  [#permalink]

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06 Dec 2017, 03:06
B.

under the condition that d,c, and e are single digit.

d/c can be 4/1 or 8/2,

d/e= 2/3 or 4/6

Answer can be concluded from both
Re: If each of c, d, and e is a positive one-digit number, what is the val &nbs [#permalink] 06 Dec 2017, 03:06
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