GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 05:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A, B and C are positive integers. Is A > C?

Author Message
TAGS:

### Hide Tags

Director
Joined: 12 Feb 2015
Posts: 917
A, B and C are positive integers. Is A > C?  [#permalink]

### Show Tags

30 Sep 2018, 10:06
1
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:20) correct 20% (00:56) wrong based on 49 sessions

### HideShow timer Statistics

A, B and C are positive integers. Is A > C?
1) A, B and C are distinct factors of 8.
2) B = 4C

_________________
________________
Manish

"Only I can change my life. No one can do it for me"
Director
Joined: 19 Oct 2013
Posts: 516
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A, B and C are positive integers. Is A > C?  [#permalink]

### Show Tags

30 Sep 2018, 11:36
From statement 1)

We know A, B, and C are distinct factors of 8

So A,B, and C could be 1,2,4 respectively A < C, however if we make it 4,2,1 then A>C

Insufficient.

For 2)

B=4C we have no information on A so insufficient

Now combine

If C = 1 then B = 4 and A could be 2 or 8

A>C yes.

If C = 4 then B = 8 and A could be 1 or 2

A > C no.

Insufficient.

Posted from my mobile device
GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: A, B and C are positive integers. Is A > C?  [#permalink]

### Show Tags

30 Sep 2018, 12:44
1
CAMANISHPARMAR wrote:
A, B and C are positive integers. Is A > C?
1) A, B and C are distinct factors of 8.
2) B = 4C

$$A,B,C\,\,\, \ge 1\,\,\,\,{\rm{ints}}$$

$${\rm{A}}\,\,\mathop > \limits^? \,\,C$$

Let´s BIFURCATE (1+2) at once, to guarantee the correct answer is (E), indeed.

$$\left( {1 + 2} \right)\,\,\left\{ \matrix{ \,{\rm{Take}}\,\,\left( {A,B,C} \right) = \left( {2,4,1} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{YES}}} \right\rangle \,\, \hfill \cr \,\,{\rm{Take}}\,\,\left( {A,B,C} \right) = \left( {1,8,2} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{NO}}} \right\rangle \,\,\,\, \hfill \cr} \right.$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4009
Re: A, B and C are positive integers. Is A > C?  [#permalink]

### Show Tags

26 Jul 2019, 05:43
Top Contributor
CAMANISHPARMAR wrote:
A, B and C are positive integers. Is A > C?
1) A, B and C are distinct factors of 8.
2) B = 4C

Target question: Is A > C?

Statement 1: A, B and C are distinct factors of 8.
Let's test some values.
There are several scenarios that satisfy statement 1. Here are two:
Case a: A = 1, B = 2 and C = 4. In this case, the answer to the target question is No, A is NOT greater than C
Case b: A = 4, B = 2 and C = 1. In this case, the answer to the target question is Yes, A IS greater than C
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: B = 4C
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: A = 1, B = 8 and C = 2. In this case, the answer to the target question is No, A is NOT greater than C
Case b: A = 8, B = 4 and C = 1. In this case, the answer to the target question is Yes, A IS greater than C
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Re: A, B and C are positive integers. Is A > C?   [#permalink] 26 Jul 2019, 05:43
Display posts from previous: Sort by