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:

If a and b are integers, is b even? (1) 3a + 4b is even (2) 3a + 5b is even

(1) 3a + 4b is even --> if \(a\) is even, then it's not necessary for \(b\) to be even, may be even or odd. Not sufficient. (2) 3a + 5b is even --> if \(a\) is even, then \(b\) is even too, but if \(a\) is odd, then \(b\) is odd too. Not sufficient.

IMO C. Let me try to explain my approach for this one. Addition of 2 numbers will be even when both of them are either even or odd. Now lets check option 1. 3a + 4b is even. 3a can be either even or odd depending value of a. 4b will be even irrespective b being even or odd. Hence, 3a should be even if the sum has to be even. But, we cannot confirm whether b is odd or even with this statement. Now lets check option 2. 3a + 5b is even. 3a can be either even or odd depending value of a. 5b can be either even or odd depending value of a. Hence, a and b can be either even or odd. This also not sufficient to conclude whether b is even or off. Combing these 2 statements. Both 3a + 4b and 3a + 5b are even. Then as per first statement 3a should be even. Then 4b and 5b should be even if the sum has to be even in both the cases. Then b should be even. Hence, C is the answer. Please let us know the OA and explanation if I am wrong or ambiguous. _________________

------------------------------------- Please give kudos, if my post is helpful.

For English Grammar tips, consider visiting http://www.grammar-quizzes.com/index.html.

If a and b are integers, is b even? (1) 3a + 4b is even (2) 3a + 5b is even

If a sum is even, then both numbers are even or both numbers are odd.

Statement 1: 4b is even, and 3a + 4b is even, which means 3a is even and hence it tells us a is even. This is insufficient.

Statement 2: 3a + 5b is even, this means that either both a and b are even or both a and b are odd, since either way the sum will be even. But that is insufficient too.

Combining both statements, we know that a is even, which means for the second statement to be valid, b also has to be even.

If a and b are integers, is b even? (1) 3a + 4b is even (2) 3a + 5b is even

(1) 3a + 4b is even --> if \(a\) is even, then it's not necessary for \(b\) to be even, may be even or odd. Not sufficient. (2) 3a + 5b is even --> if \(a\) is even, then \(b\) is even too, but if \(a\) is odd, then \(b\) is odd too. Not sufficient.

If a and b are integers, is b even? (1) 3a + 4b is even (2) 3a + 5b is even

(1) 3a + 4b is even --> if \(a\) is even, then it's not necessary for \(b\) to be even, may be even or odd. Not sufficient. (2) 3a + 5b is even --> if \(a\) is even, then \(b\) is even too, but if \(a\) is odd, then \(b\) is odd too. Not sufficient.

Hi Just a small doubt, can we consider b to be zero. Is zero treated as an even integer. Thx

Zero is an even integer. Zero is nether positive nor negative, but zero is definitely an even number.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

Re: If a and b are integers, is b even? [#permalink]

Show Tags

16 Dec 2014, 19:43

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: If a and b are integers, is b even? [#permalink]

Show Tags

23 Jun 2016, 01:50

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. _________________

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

London is the best kept secret of the corporate world. It is English speaking and time delayed by only 5 hours. That means when London goes home at 5...