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

It is currently 14 Oct 2019, 09:17

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Three dice, each of which has its 6 sides numbered 1 through 6, are to

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58317
Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 16 Jun 2016, 05:43
5
46
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

62% (02:09) correct 38% (02:13) wrong based on 1312 sessions

HideShow timer Statistics

Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal

_________________
Most Helpful Community Reply
Manager
Manager
avatar
Joined: 18 Sep 2014
Posts: 224
Reviews Badge
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 16 Jun 2016, 06:15
18
6
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal

Stmt 1 says that it can 1,2,4,5 then we can have 4,4,4 or 5,5,2 not suff.
Stmt 2 says 2 are year equal not three, it can mean 3,3,6 or 5,5,2. not suff

Hence C is the answer. as we rule out none of the numbers are divisible by 3.
_________________
Kindly press the Kudos to appreciate my post !! :-)
General Discussion
Manager
Manager
User avatar
B
Status: In the realms of Chaos & Night
Joined: 13 Sep 2015
Posts: 147
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 16 Jul 2016, 00:28
1
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
3's & 6's are out - The result can be achieved with (5,2,5)/ (4,4,4) -Insufficient

(2) Of the numbers that are facing up, 2, but not all 3, are equal
Possibilities for the condition are (5,5,2)/ (3,3,6) - Insufficient

Combining Statements 1) & 2) Only possible was of getting the sum is (5,5,2)

Answer C)
_________________
Good luck
=======================================================
"If a street performer makes you stop walking, you owe him a buck"
"If this post helps you on your GMAT journey, drop a +1 Kudo "


"Thursdays with Ron - Consolidated Verbal Master List - Updated"
Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 526
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 17 Jul 2016, 05:33
Top Contributor
Bunuel wrote:
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal


Sides of the dices are 1,2,3,4,5,and 6

(1)Among the above dice sides,sides divisible by 3 are 3 and 6,so facing up numbers must be among 1,2,4,and 5,so to get sum the three dice sides could be 4,4,and 4 or 5,5,2 .......>Not Sufficient
(2)Sum of the at most 2 two equal sides that are facing up and another 1 side may happen with many combination of dice numbers,example-(3,3,6)(5,5,2), .........>Not sufficient

(1)+(2) only combination of 5,5,and 2 sides on top of the dice sum up to 12,Sufficient

Correct Answer C
_________________
Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 08 Dec 2016, 09:47
2
Bunuel wrote:
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal


We are given that three dice (numbered 1 to 6) are tossed and that the sum of the three numbers facing up is 12. We need to determine whether one of these numbers is 5.

Statement One Alone:

None of the 3 numbers that are facing up is divisible by 3.

The information in statement one is not sufficient to answer the question. The numbers facing up could be 4, 4, and 4, and none of these numbers are 5. However, the numbers facing up could be 5, 5, and 2, and at least one of these numbers is 5. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

Of the numbers that are facing up, 2, but not all 3, are equal.

The information in statement two is not sufficient to answer the question. The numbers facing up could be 3, 3, and 6, and none of these numbers are 5. However, the numbers facing up could be 5, 5, and 2, and at least one of these numbers is 5. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Using the information from statements one and two, we can determine that the only way to obtain a sum of 12, when none of the numbers are divisible by 3 and when exactly two of the numbers are equal, is if the numbers facing up are 5, 5, and 2. Thus, at least one of the numbers is 5.

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
User avatar
S
Joined: 07 May 2015
Posts: 41
Location: India
Schools: Darden '21
GPA: 4
CAT Tests
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 11 Aug 2017, 03:19
Bunuel wrote:
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal


Stmt 1 Alone - Not Sufficient:
(5+5+2)=12 (Is at least 1 of these numbers 5? --> YES)
(4+4+4)=12 (Is at least 1 of these numbers 5? --> NO)
Stmt 2 Alone - Not Sufficient:
(3+3+6)=12 ((Is at least 1 of these numbers 5? --> NO)
(5+5+2)=12 ((Is at least 1 of these numbers 5? --> YES)
Stmt 1 & 2 together (Sufficient)
(6,6,x) not possible combo
(5,5,2) Possible - (Is at least 1 of these numbers 5? --> YES)
(4,4,4) not possible combo (stmt2 violated)
(3,3,6) not possible combo (stmt1 violated)
(2,2,x) not possible combo
(1,1,x) not possible combo.

OA: C
Senior Manager
Senior Manager
User avatar
S
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 426
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 14 Aug 2018, 00:04
Top Contributor
FightToSurvive wrote:
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal

Stmt 1 says that it can 1,2,4,5 then we can have 4,4,4 or 5,5,2 not suff.
Stmt 2 says 2 are year equal not three, it can mean 3,3,6 or 5,5,2. not suff

Hence C is the answer. as we rule out none of the numbers are divisible by 3.


Can't it be 2, 4 and 6, Which satisfies option C?
_________________
Manager
Manager
User avatar
S
Joined: 06 Nov 2016
Posts: 58
Location: Viet Nam
Concentration: Strategy, International Business
GPA: 3.54
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 14 Aug 2018, 01:34
1
Baten80 wrote:
FightToSurvive wrote:
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal

Stmt 1 says that it can 1,2,4,5 then we can have 4,4,4 or 5,5,2 not suff.
Stmt 2 says 2 are year equal not three, it can mean 3,3,6 or 5,5,2. not suff

Hence C is the answer. as we rule out none of the numbers are divisible by 3.


Can't it be 2, 4 and 6, Which satisfies option C?

6 is divisible by 3 --> (2,4,6) doesn't satisfy Statement 1.
\(2 \neq 4 \neq 6\) --> (2,4,6) doesn't satisfy Statement 2.

When combining 2 statements, only (5,5,2) satisfies.

Hope it helps.
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13141
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to  [#permalink]

Show Tags

New post 05 Sep 2019, 23:20
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to   [#permalink] 05 Sep 2019, 23:20
Display posts from previous: Sort by

Three dice, each of which has its 6 sides numbered 1 through 6, are to

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne