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

 It is currently 17 Oct 2019, 06:30

### 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

# M21-22

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58414

### Show Tags

16 Sep 2014, 01:11
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:28) correct 44% (01:34) wrong based on 122 sessions

### HideShow timer Statistics

If $$a$$, $$b$$, and $$c$$ are consecutive integers, which of the following can be true?

I. $$abc$$ is divisible by 6

II. $$a + c - b$$ is odd

III. $$\frac{c}{a} \gt b$$

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 58414

### Show Tags

16 Sep 2014, 01:11
Official Solution:

If $$a$$, $$b$$, and $$c$$ are consecutive integers, which of the following can be true?

I. $$abc$$ is divisible by 6

II. $$a + c - b$$ is odd

III. $$\frac{c}{a} \gt b$$

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

All the three scenarios are possible. Consider $$a = -8$$, $$b = -7$$, $$c = -6$$. Note that the question asks "what 'can' be true" rather than "what 'must' be true".

_________________
Intern
Joined: 18 Jun 2015
Posts: 38

### Show Tags

10 Sep 2016, 16:19
1
Can be true and Must be true makes all the difference here.
Intern
Joined: 07 Mar 2017
Posts: 7
Location: United States
GMAT 1: 580 Q40 V30
GPA: 3.6

### Show Tags

29 Mar 2017, 13:19
I should have looked at it more closely.....shouldnt be missing these type of problems because of language.
Intern
Joined: 07 Oct 2016
Posts: 14
Location: India
Concentration: Sustainability, General Management
GMAT 1: 640 Q47 V30
GMAT 2: 700 Q47 V40
GPA: 3.5

### Show Tags

25 Nov 2017, 08:12
Hi,

Can't we take -1, 0 & +1 ----> the answers in this case might be different ?

Also, if you could explain the difference b/w "must be true" & "can be true", I think i am missing a point here.

Thx
Math Expert
Joined: 02 Sep 2009
Posts: 58414

### Show Tags

25 Nov 2017, 08:15
quest800 wrote:
Hi,

Can't we take -1, 0 & +1 ----> the answers in this case might be different ?

Also, if you could explain the difference b/w "must be true" & "can be true", I think i am missing a point here.

Thx

Look at the highlighted part of the solution:
All the three scenarios are possible. Consider $$a = -8$$, $$b = -7$$, $$c = -6$$. Note that the question asks "what 'can' be true" rather than "what 'must' be true".
_________________
Intern
Joined: 13 Aug 2017
Posts: 1

### Show Tags

13 Aug 2018, 00:43
I understand the difference between 'can be' true and 'must be' true here. Were this question to come in the exam, I would basically need to test multiple consecutive number options till I get an option i.e (-8, -7, -6) that satisfies all three? (-8, -7, -6) this combination is rather unusual to test as the first thing that comes to one's mind. Is there a shorter way to address this?
Manager
Joined: 03 Feb 2018
Posts: 91

### Show Tags

08 Dec 2018, 20:14
Bunuel wrote:
Official Solution:

If $$a$$, $$b$$, and $$c$$ are consecutive integers, which of the following can be true?

I. $$abc$$ is divisible by 6

II. $$a + c - b$$ is odd

III. $$\frac{c}{a} \gt b$$

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

All the three scenarios are possible. Consider $$a = -8$$, $$b = -7$$, $$c = -6$$. Note that the question asks "what 'can' be true" rather than "what 'must' be true".

hi Bunel,

If it is given in the question that a,b,c, are consecutive numbers, then we can by default assume that the order is a<b<c ??
Math Expert
Joined: 02 Sep 2009
Posts: 58414

### Show Tags

09 Dec 2018, 00:11
kanthaliya wrote:
Bunuel wrote:
Official Solution:

If $$a$$, $$b$$, and $$c$$ are consecutive integers, which of the following can be true?

I. $$abc$$ is divisible by 6

II. $$a + c - b$$ is odd

III. $$\frac{c}{a} \gt b$$

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

All the three scenarios are possible. Consider $$a = -8$$, $$b = -7$$, $$c = -6$$. Note that the question asks "what 'can' be true" rather than "what 'must' be true".

hi Bunel,

If it is given in the question that a,b,c, are consecutive numbers, then we can by default assume that the order is a<b<c ??

No. On the GMAT a, b, c are consecutive integers does not necessarily mean that a < b < c.
_________________
Manager
Joined: 11 Sep 2019
Posts: 53
Schools: Great Lakes '21

### Show Tags

24 Sep 2019, 11:01
I tried with a very different approach.
Tough, I was a victim of Must Be true or Can be true trap, have a look at my approach.
Hit Kudos and let me know you find this helpful...
>> !!!

You do not have the required permissions to view the files attached to this post.

_________________
Please be generous. Hit +1 Kudos if you find this post helpful.

Check out the Special RC Collection- https://gmatclub.com/forum/trouble-in-rc-listen-to-your-rc-friend-15-days-rc-challenge-day-305898.html
M21-22   [#permalink] 24 Sep 2019, 11:01
Display posts from previous: Sort by

# M21-22

Moderators: chetan2u, Bunuel