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

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New post 03 Dec 2017, 23:14
1
1
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A
B
C
D
E

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  45% (medium)

Question Stats:

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

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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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New post 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
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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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New post 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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New post 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.

Hence B answer
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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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New post 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.

Hence B answer

Can we consider .5 as one digit number?
_________________

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"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
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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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New post 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.

Hence B answer

Can we consider .5 as one digit number?


No. Single-digit numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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