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:

Hi, I Have a Question. I May be missing something but, when we take both statements together isn't it enough to answer the question because if AC + BC must = 10 and Also AC + AB must be More than 10 ? ( that is don't we need the same set of points to satisfy both statement, here we take 2 different set of points but the second set dose not satisfy both statements. Therefore I believe that because only the first statement satisfies both statements and it = 10 we should be able to say that it is not greater than 10. Please let me know if I am missing something. Thank you.

Hi, I Have a Question. I May be missing something but, when we take both statements together isn't it enough to answer the question because if AC + BC must = 10 and Also AC + AB must be More than 10 ? ( that is don't we need the same set of points to satisfy both statement, here we take 2 different set of points but the second set dose not satisfy both statements. Therefore I believe that because only the first statement satisfies both statements and it = 10 we should be able to say that it is not greater than 10. Please let me know if I am missing something. Thank you.

If A, B, and C are distinct points on the number line. Is the length of the line segment AB less than 10?

(1) The sum of the lengths of line segments AC and BC is 10

(2) The sum of the lengths of line segments AB and AC is more than 10

WHY doesn't the second set satisfy both statements?

BC = 2 AB = 6 AC = 6 + 2 = 8

(1) The sum of the lengths of line segments AC and BC is 10 --> AC + BC = 8 + 2 = 10.

(2) The sum of the lengths of line segments AB and AC is more than 10 --> AB + AC = 6 + 8 = 14 > 10.
_________________

so since the question does not specify that the points are in the order a,b, then c.. one cannot make this assumption?

Yes, if the order is not specified you cannot assume that there is any particular one.

Hi , Is there any other method to solve this question quickly ? i took 5 mins to solve this question and even then got it wrong because i got confused between all the possible sets / arrangements i had to assume for this question !

I think , from the explanation given above, It is not clear whether both statement together are sufficient or not. So, I represent a case where AB = 10 (could be less than 10 too , as represented by bunuel).

A---------6---------C-------4--------B here AC + BC = 10 and AB + AC > 10 So we cannot say for sure that AB is less than 10.

Hi, I Have a Question. I May be missing something but, when we take both statements together isn't it enough to answer the question because if AC + BC must = 10 and Also AC + AB must be More than 10 ? ( that is don't we need the same set of points to satisfy both statement, here we take 2 different set of points but the second set dose not satisfy both statements. Therefore I believe that because only the first statement satisfies both statements and it = 10 we should be able to say that it is not greater than 10. Please let me know if I am missing something. Thank you.

If A, B, and C are distinct points on the number line. Is the length of the line segment AB less than 10?

(1) The sum of the lengths of line segments AC and BC is 10

(2) The sum of the lengths of line segments AB and AC is more than 10

BC = 2 AB = 6 AC = 6 + 2 = 8

(1) The sum of the lengths of line segments AC and BC is 10 --> AC + BC = 8 + 2 = 10.

(2) The sum of the lengths of line segments AB and AC is more than 10 --> AB + AC = 6 + 8 = 14 > 10.

Hi, Can we also rule out both the statements immediately because neither the question stem nor the two statements tell us the positions of the order of the given points?

If A, B, and C are distinct points on the number line. Is the length of the line segment AB less than 10?

(1) The sum of the lengths of line segments AC and BC is 10

(2) The sum of the lengths of line segments AB and AC is more than 10

We have 6 ways to order A, B and C.

1- A B C 2- A C B 3- B A C 4- B C A 5- C A B 6- C B A

We can say 5 and 6 are flip of 1 and 3 respectively but let's not make things complex.

Statement 1 - If sum of the lengths of line segments AC and BC is 10, then AB should be 10 or less in cases 1,3 5 and 6 while equal to 10 in 2 and 4. (Assume points 2, 6 and 12 on coordinate line and then check cases 1-6 above to understand the point) - Not Sufficient. Statement 2 - If the sum of the lengths of line segments AB and AC is more than 10, then AB could theoretically be less or greater than 10 in any of the 6 cases. AB are closest in case 1, 3, 5 and 6 but if sum of AB and AC is greater than 10, AB could be less equal or greater than 10 (example case 1 (order of points A,B,C on number line) above, points 2,6,9 (AC+BC = 11 i.e. > 10 but AB < 10), points 2,12,13 (AB + BC = 21 i.e. > 10 but AB = 10) or points 2,13,14 (AB + AC = 23 i.e. > 10 but AB > 11) all illustrate this point- Not Sufficient.

Combined, since 2 doesn't add much info to 1, answer should be E.
_________________

Please hit Kudos if this post helped you inch closer to your GMAT goal. Procrastination is the termite constantly trying to eat your GMAT tree from the inside. There is one fix to every problem, working harder!