Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58317

Three dice, each of which has its 6 sides numbered 1 through 6, are to
[#permalink]
Show Tags
16 Jun 2016, 05:43
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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Manager
Joined: 18 Sep 2014
Posts: 224

Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to
[#permalink]
Show Tags
16 Jun 2016, 06:15
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 !!




Manager
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
16 Jul 2016, 00:28
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
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
17 Jul 2016, 05:33
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, SufficientCorrect Answer C
_________________



Target Test Prep Representative
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
08 Dec 2016, 09:47
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
_________________
5star 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
Joined: 07 May 2015
Posts: 41
Location: India
GPA: 4

Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to
[#permalink]
Show Tags
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
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
14 Aug 2018, 00:04
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
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
14 Aug 2018, 01:34
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.
_________________



NonHuman User
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
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.
_________________




Re: Three dice, each of which has its 6 sides numbered 1 through 6, are to
[#permalink]
05 Sep 2019, 23:20






