It is currently 26 Mar 2019, 04:08

### 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

# x, y, and z are consecutive integers, where x < y < z. Whic

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5917
Followers: 96

Kudos [?]: 1158 [0], given: 5488

x, y, and z are consecutive integers, where x < y < z. Whic [#permalink]  12 Aug 2017, 09:59
Expert's post
00:00

Question Stats:

53% (01:22) correct 46% (00:48) wrong based on 26 sessions

x, y, and z are consecutive integers, where x < y < z. Which of the following must be divisible by 3 ?

Indicate all that apply.

❑ xyz

❑ (x + 1)yz

❑ (x + 2)yz

❑ (x + 3)yz

❑ (x + 1)(y + 1)(z + 1)

❑ (x + 1)(y + 2)(z + 3)
[Reveal] Spoiler: OA

_________________
Intern
Joined: 14 Jun 2018
Posts: 36
Followers: 0

Kudos [?]: 7 [0], given: 100

Re: x, y, and z are consecutive integers, where x < y < z. Whic [#permalink]  08 Jul 2018, 06:36
Carcass wrote:

x, y, and z are consecutive integers, where x < y < z. Which of the following must be divisible by 3 ?

Indicate all that apply.

❑ xyz

❑ (x + 1)yz

❑ (x + 2)yz

❑ (x + 3)yz

❑ (x + 1)(y + 1)(z + 1)

❑ (x + 1)(y + 2)(z + 3)

[Reveal] Spoiler: OA
A,D,E,F

Any explanation please, especially for the last one (F) and (D)?
Moderator
Joined: 18 Apr 2015
Posts: 5917
Followers: 96

Kudos [?]: 1158 [1] , given: 5488

Re: x, y, and z are consecutive integers, where x < y < z. Whic [#permalink]  08 Jul 2018, 10:30
1
KUDOS
Expert's post
The stem is pretty straight: 3 consecutive numbers and integers.

Pick 1,2,3

D) $$(x + 3)yz$$ $$= 4*6=24$$ divisible by 3

F) $$(x + 1)(y + 2)(z + 3) = 2*4*6= 48$$ divisible by 3

Each number above has a number divisible by 3 inside. So they must be divisible by 3

Hope this helps

PS: more often than not is useful picking number strategy instead to think theoretically, especially when you are not at that level.

Regards
_________________
Intern
Joined: 07 Jul 2018
Posts: 9
Followers: 0

Kudos [?]: 5 [0], given: 1

Re: x, y, and z are consecutive integers, where x < y < z. Whic [#permalink]  13 Jul 2018, 17:32
Why not B & C?
Intern
Joined: 14 Jun 2018
Posts: 36
Followers: 0

Kudos [?]: 7 [1] , given: 100

Re: x, y, and z are consecutive integers, where x < y < z. Whic [#permalink]  13 Jul 2018, 22:47
1
KUDOS
Akash03jain wrote:
Why not B & C?

Thanks Carcass. Back to your question, the reason simply because 3,4,5 in B are 4 * 4 * 5 does not have 3 prime factor, so it's not divisible. Same with C.
Re: x, y, and z are consecutive integers, where x < y < z. Whic   [#permalink] 13 Jul 2018, 22:47
Display posts from previous: Sort by