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:

70% (01:15) correct 30% (01:23) wrong based on 129 sessions

HideShow timer Statistics

Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?

A. 20; 8. B. 30; 9. C. 15; 6. D. 10; 5. E. 22; 10.

Re: Elizabeth is interested in dividing the rooms in the house among the f [#permalink]

Show Tags

13 Jul 2016, 02:11

Scientists have found new evidence.

Let R be the initial number of rooms and F be the no of members

Then as per the given question : R+2 should be divisible by F-1..

Now check the given values and see which satisfy the above

Only two values satisfy the condition :

10, 5

30,9

10,5 can't be the solution as its already mentioned in statement that the initial no of room are not divisible by the initial no of family members .. hence answer is 30,9.... B

Re: Elizabeth is interested in dividing the rooms in the house among the f [#permalink]

Show Tags

13 Jul 2016, 03:07

Bunuel wrote:

Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?

A. 20; 8. B. 30; 9. C. 15; 6. D. 10; 5. E. 22; 10.

Option B) Initially 9 family members then reduced to 8 family members and Initially 30 rooms increased to 32 Rooms fits the requirement.
_________________

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 "

Re: Elizabeth is interested in dividing the rooms in the house among the f [#permalink]

Show Tags

25 Sep 2017, 07:39

Bunuel wrote:

Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?

A. 20; 8. B. 30; 9. C. 15; 6. D. 10; 5. E. 22; 10.

One must try to solve such questions only by quick visual examination, which will reveal the answer in just 10 sec...

Re: Elizabeth is interested in dividing the rooms in the house among the f [#permalink]

Show Tags

25 Sep 2017, 08:24

For this question, the following two conditions must be satisfied 1. Add 2 to the current rooms & Reduce 1 from the initial number of members(Now Rooms/Members must be an integer) 2. Current Rooms/Members must not be an integer

Evaluating the answer options for the conditions 1. Both Options B and D are possible 2. All options possible except D

The answer option which satisfies both the conditions is Option B _________________

Hi! Why D is incorrect? 10;5 10+2= 12 5-1=4 12/4=3

Because we are given that the initial number of rooms cannot be divided equally among the number of family members. But 10 is divisible by 5.
_________________

Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?

A. 20; 8. B. 30; 9. C. 15; 6. D. 10; 5. E. 22; 10.

We can let r = the number of rooms and f = the number of family members; thus:

(r + 2)/(f - 1) = integer

So, we need to find the answer choice that when we add 2 to the number of rooms, subtract 1 from the number of family members, and then divide rooms by family members, we will get an integer.

We see that in answer choice B, (30 + 2)/(9 - 1) = 4; thus, we can have 30 initial rooms and 9 initial family members.

Note that answer choice D also satisfies (10 + 2)/(5 - 1) = integer, but if there were 10 rooms and 5 family members, it would have been possible to divide the rooms among the family without the need for additional rooms or kicking out family members, which is against the question stem.

Answer: B
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions