It is currently 22 Nov 2017, 02:46

GMAT Club Daily Prep

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Senior Manager
Joined: 10 Dec 2004
Posts: 273

Kudos [?]: 203 [0], given: 0

a and b are integers, is b even? (1) 3a+4b is even. (2) [#permalink]

Show Tags

06 Jan 2005, 12:04
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

46. a and b are integers, is b even?

(1) 3a+4b is even.

(2) 4a+6b is even.

I think its E

Kudos [?]: 203 [0], given: 0

Manager
Joined: 31 Aug 2004
Posts: 161

Kudos [?]: 15 [0], given: 0

Location: Vancouver, BC, Canada
Re: even or Odd [#permalink]

Show Tags

06 Jan 2005, 12:36
pb_india wrote:
46. a and b are integers, is b even?

(1) 3a+4b is even.

(2) 4a+6b is even.

I think its E

Odd integer + Even integer = Odd integer
Even integer + Even integer = Even integer

For 1), we need both an even integer for both 3a and 4b. 3a can only be even when a is an even integer. 4b can be an even integer when b is odd or even. So 1) alone cannot give us an anwer whenther b is even. So eliminate D & A.

For 2), we know 4a is an even number with either a is odd or even. Same logic applys to 6b, as an odd b or even b will give 6b an even number. So 2) alone is not sufficient to answer the question. We can eliminate B.

1) + 2) together cannot help us answer the question, so C is gone too, and this left us with E as the correct answer.

Kudos [?]: 15 [0], given: 0

VP
Joined: 18 Nov 2004
Posts: 1430

Kudos [?]: 49 [0], given: 0

Show Tags

06 Jan 2005, 12:37
E it is both the statements r insuff and even together they r insuff. Hence "E". What's the OA?

Kudos [?]: 49 [0], given: 0

Director
Joined: 07 Jun 2004
Posts: 610

Kudos [?]: 952 [0], given: 22

Location: PA

Show Tags

06 Jan 2005, 15:15
its E because

the oonly way we get an even number bby addition is

odd + even
or odd + odd

Kudos [?]: 952 [0], given: 22

Director
Joined: 21 Sep 2004
Posts: 601

Kudos [?]: 37 [0], given: 0

Show Tags

07 Jan 2005, 08:37
odd+odd= even odd-odd=even
even+even= even even-even=even

E..

Kudos [?]: 37 [0], given: 0

Manager
Joined: 06 Dec 2004
Posts: 69

Kudos [?]: [0], given: 0

Location: san diego

Show Tags

07 Jan 2005, 15:14
rxs0005 wrote:
its E because

the oonly way we get an even number bby addition is

odd + even
or odd + odd

you state odd + even = even

I think this is a typo

5 + 2 = 7

5+ 4 = 9

9 + 6 = 15

In each case odd + even = odd

I believe you ment

Even = even + even or
Even = Odd + Odd

Kudos [?]: [0], given: 0

07 Jan 2005, 15:14
Display posts from previous: Sort by

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

 post reply Question banks Downloads My Bookmarks Reviews Important topics

Moderator: chetan2u

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.