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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Three dice, each with faces numbered from 1 through 6, were [#permalink]
06 Jul 2013, 01:39

4

This post received KUDOS

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

62% (02:05) correct
38% (00:54) wrong based on 122 sessions

Three dice, each with faces numbered from 1 through 6, were tossed onto a game board. If one of the dice turned up 4, what is the sum of the numbers that turned up on all three dice?

1) The sum of the two of the numbers that turned up was 10 2) The sum of two of the numbers that turned up was 11

Re: Three dice, each with faces numbered from 1 through 6, were [#permalink]
06 Jul 2013, 01:45

1

This post received KUDOS

Expert's post

Three dice, each with faces numbered from 1 through 6, were tossed onto a game board. If one of the dice turned up 4, what is the sum of the numbers that turned up on all three dice?

(1) The sum of the two of the numbers that turned up was 10. The sum can be 4 + (5 + 5) = 14 or (4 + 6) + any > 10. Not sufficient.

(2) The sum of two of the numbers that turned up was 11 --> x+y=11 --> the first dice turned up 4, so it can be neither x nor y (because the other one will be 7, so more than 6). Thus the sum is 4 + (x + y) =15. Sufficient.

Re: Three dice, each with faces numbered from 1 through 6, were [#permalink]
08 Jul 2013, 20:30

Let there be three numbers D1,D2 and D3 D1=4 There are two possibilties for statement one... (5,5,4) and (4,6,anything) If D1=4 and D2=6 then D3 can be anything and we cannot find the sum. Hence statement 1 is insufficient.

For statement 2...there is only one combination for making 11 i.e. (4,5,6) Here we have two combinations 1. D1=4 D2=5 D3=6 2 D1=4 D2=6 D3=5 but since in both cases the sum is 15...hence statement 2 is sufficient.

Re: Three dice, each with faces numbered from 1 through 6, were [#permalink]
04 Mar 2014, 03:02

From question: One Dice was 4.

(1) Two of the dice add up to 10. Hence it could be the original 4 + 6 of the second dice and any number on the third dice. IS. (2) Original: 4. Thus it is impossible for this Dice to be one of the dice which give us the sum 11. hence we have first dice 4 and the other 2 dice 5 and 6. Suff. B.

Re: Three dice, each with faces numbered from 1 through 6, were [#permalink]
04 Mar 2014, 04:35

Pretty straightforward. From S1:We could have diff combinations like 4,6,2 or 4,6,3 that'd give us a different answer for sum of all three.Not suff.

From S2:If 2 numbers add up to be 11 the dice with 4 on top wont be there in these 2.So it's only possible that sum of nos. on other 2 dice is 11 in which case total of all three is 15.Suff.

Re: Three dice, each with faces numbered from 1 through 6, were [#permalink]
18 May 2014, 08:50

When testing (1), you have two possible answers: you rolled the identified 4 and a 6 and an unknown 3rd die or you rolled the identified 4 and a 5 and a 5. (1) is insufficient to answer to sum of all 3 dice.

When testing (2), you only have one possible answer: the maximum value of each die is 6 so the sum of the two numbers that equal 11 cannot include the identified 4 die because there are no 7 value dice. So the only combination of two dice that sums 4 is 5 and 6. Because we don't care which die is 5 or 6, only in the summed value, we can answer the original question with only statement (2) thus the answer would be B.

Re: Three dice, each with faces numbered from 1 through 6, were [#permalink]
01 Jun 2015, 07:01

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. _________________

On September 6, 2015, I started my MBA journey at London Business School. I took some pictures on my way from the airport to school, and uploaded them on...

When I was growing up, I read a story about a piccolo player. A master orchestra conductor came to town and he decided to practice with the largest orchestra...

A site for the partners of MBA candidates : A website we are creating for the better halves of the MBA candidates and the candidates themselves to know “the...

A week ago we were informed of our pre program preparation for Entrepreneurship and Finance… 2.5 months to go and we are already busy with our studies… Where...