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:

As the OA is not given, for me the answer will be E and this is how I got it. Please let me know if I am right or wrong.

Statement 1 --> Insufficient because b and c can take any single value.

Statement 2 --> Insufficient as again b and c can take any values.

Combining the two statements

a = 1.5x + b and b = x + c ------------------------------------(From Statement 2) a = 1.5b and b = 1.5c ----------------------------------------(From Statement 1)

Substituting 1 in 2

we get b = 3x and x = 0.5 c. again b and c can take any value and therefore my answer is E.

What is the three-digit number abc, given that a, b, and c are the positive single digits that make up the number?

(1) a = 1.5b and b = 1.5c --> a/b=3/2=9/6 and b/c=3/2=6/4 --> a/b/c=9/6/4 and as a, b, and c are the positive single digits, then a=9, b=6 and c=4 --> abc=964. Sufficient.

(2) a = 1.5x + b and b = x + c, where x represents a positive single digit --> multiple values are possible, for example: if x=2 then a=3+b and b=2+c --> abc can 631 (for c=1) be or 742 (for c=2). Not sufficient.

c=c b=1.5c , put value of b in given equation no.1 a=2.25c

n = 225c+25c+c = 241c .. we know c is an integer and in this case it can take four values from 1 to 4 .. for values greater than 4, "n" will become 5 digit number. now a=2.25c .. we know a is also an integer .. from the possible values of c we have i.e. 1,2,3,4 .. only 4 will make a an integer ..

hence, a = 2.25*4=9 b = 1.5*4=6 c = 4

n = 964

2) well, this one is easy just put values in 100a+10b+c .. you'll get 260x+110c .. too many possibilities
_________________

Re: What is the three-digit number abc, given that a, b, and c [#permalink]

Show Tags

16 Oct 2013, 05:26

(1) a = 1.5b b = 1.5c a = 2.25c

a must equal an integer and the only way this is satisfied is if c = 4 (2.25 * 4 = 9)

b = 1.5c = 1.5(4) = 6 a = 1.5b = 1.5(6) = 9

all checks out and no other possibilities so (1) is sufficient.

(2) Too many possibilities. a = 1.5x + b and b = x + c a = 1.5x + x + c = 2.5x + c a = 2.5x + c --> many possible values for 'a' and 'c'. Not sufficient.

Re: What is the three-digit number abc, given that a, b, and c [#permalink]

Show Tags

28 Oct 2014, 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.
_________________

Re: What is the three-digit number abc, given that a, b, and c [#permalink]

Show Tags

06 Oct 2015, 13:15

Bunuel wrote:

What is the three-digit number abc, given that a, b, and c are the positive single digits that make up the number?

(1) a = 1.5b and b = 1.5c --> a/b=3/2=9/6 and b/c=3/2=6/4 --> a/b/c=9/6/4 and as a, b, and c are the positive single digits, then a=9, b=6 and c=4 --> abc=964. Sufficient.

(2) a = 1.5x + b and b = x + c, where x represents a positive single digit --> multiple values are possible, for example: if x=2 then a=3+b and b=2+c --> abc can 631 (for c=1) be or 742 (for c=2). Not sufficient.

Answer: A.

Here is another way to solve this question. Question Stem: abc with a, b, c are the positive single digits -> abc = 100a + 10b + c (1) a = 3b/2 b = 3c/2 => abc = 241c and a = 9c/4 -> c must be 4 to make a a positive single digit. => abc = 241 x 4 = 964 -> Sufficient. (2) a = 3x/2; b = x + c => abc = 260x + 111c. Many possible for x and c -> Not sufficient.

Re: What is the three-digit number abc, given that a, b, and c [#permalink]

Show Tags

21 Sep 2016, 10:42

Another way to look at it is 1. a=3/2 b and b=3/2 c and all the digits are obviously positive integers. => both b and c are multiples of 2 => c=2^n , where n is an integer and n>1 => c=4 gives b=6 and a=9 , while c=8 gives b=12(invalid). hence number is 964. SUFFICIENT

2. a=3/2x+b, b=x+c All that we can infer is x is definitely even. There is no constraint on c. Multiple options possible Hence INSUFFICIENT

Re: What is the three-digit number abc, given that a, b, and c [#permalink]

Show Tags

01 Nov 2016, 05:51

enigma123 wrote:

What is the three-digit number abc, given that a, b, and c are the positive single digits that make up the number?

(1) a = 1.5b and b = 1.5c (2) a = 1.5x + b and b = x + c, where x represents a positive single digit

I took some extra time to test additional values...to make sure B is not sufficient...

1. a=1.5b, b=1.5c only option that works - c=4, b=6, a=8. sufficient.

2. a=1.5x +b -> b=x+c => a=2.5x+c now...we know for sure that x must be an even number... suppose x=0 a=b=c -> it's possible, the question stem does not state that digits are different.

suppose x=2. a=5+c b=2+c

c can be 1 -> a=6, b=3 c can be 2 -> a=7, b=4.

so already 3 different options...definitely B alone is not sufficient.

answer is A.

gmatclubot

Re: What is the three-digit number abc, given that a, b, and c
[#permalink]
01 Nov 2016, 05:51

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...