Last visit was: 28 Mar 2025, 04:36 It is currently 28 Mar 2025, 04:36
Close
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
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
axl169
Joined: 16 Sep 2006
Last visit: 12 Oct 2006
Posts: 10
Own Kudos:
22
 [18]
Posts: 10
Kudos: 22
 [18]
2
Kudos
Add Kudos
16
Bookmarks
Bookmark this Post
User avatar
anandsebastin
Joined: 23 Jun 2005
Last visit: 20 Jul 2011
Posts: 340
Own Kudos:
343
 [1]
Given Kudos: 1
GMAT 1: 740 Q48 V42
GMAT 1: 740 Q48 V42
Posts: 340
Kudos: 343
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
mukeshnathani
Joined: 31 Aug 2006
Last visit: 28 Nov 2007
Posts: 120
Own Kudos:
4
 [1]
Posts: 120
Kudos: 4
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
yezz
User avatar
Retired Moderator
Joined: 05 Jul 2006
Last visit: 26 Apr 2022
Posts: 839
Own Kudos:
Given Kudos: 49
Posts: 839
Kudos: 1,614
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Set S consists of 20 different positive integers. How many of the integers in S are odd?

1) 10 of the integers in S are even
2) 10 of the integers in S are multiples of 4

all intigers are either even or odd ( as long as they are positive)

FROM ONE .....SUFF

FROM TWO
10 OF THE INTIGERS ARE MULTIPLES OF 4 ( EVEN) AND WE HAVE NO CLUE ABOUT THE OTHERS

WHERE SOME MIGHT BE EVEN BUT NOT MULTIPLES OF 4 (EG: 2,0)

MY ANSWER IS A
User avatar
cmugeria
Joined: 22 Dec 2009
Last visit: 19 Mar 2011
Posts: 18
Own Kudos:
Given Kudos: 1
Posts: 18
Kudos: 556
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Please help explain how statement 1 is sufficient. I had this question on GMAT Prep and answered as E. Statement 1 does not emphasize that ONLY 10 Integers are even
User avatar
saxenashobhit
Joined: 20 Jul 2010
Last visit: 14 Nov 2013
Posts: 135
Own Kudos:
Given Kudos: 9
Products:
Posts: 135
Kudos: 251
Kudos
Add Kudos
Bookmarks
Bookmark this Post
cmugeria
Please help explain how statement 1 is sufficient. I had this question on GMAT Prep and answered as E. Statement 1 does not emphasize that ONLY 10 Integers are even

dont forget - whatever data is given , IS true -
in A - 10 are even, that means others are odd - Suff

B - insuff
Ans is A
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 March 2025
Posts: 100,124
Own Kudos:
Given Kudos: 92,748
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,124
Kudos: 711,480
Kudos
Add Kudos
Bookmarks
Bookmark this Post
cmugeria
Please help explain how statement 1 is sufficient. I had this question on GMAT Prep and answered as E. Statement 1 does not emphasize that ONLY 10 Integers are even

In this case saying that "10 of the integers in S are even" means that EXACTLY 10 are even, as if there were more than 10 even numbers in the set, say 15, then it would make no sense to say that there are 10 even numbers.

So as there are 20 integers and out of them 10 are even then the rest must be odd.

On the other hand statement (2) just tells us that there are at least 10 even numbers in the set, so number of odd numbers in the set could vary from 0 (if all numbers are even) to 10 (if these 10 multiples of 4 are the only even numbers in the set).

Answer A is correct.
User avatar
anairamitch1804
Joined: 26 Oct 2016
Last visit: 20 Apr 2019
Posts: 506
Own Kudos:
3,487
 [2]
Given Kudos: 877
Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE:Education (Education)
Schools: HBS '19
GMAT 1: 770 Q51 V44
Posts: 506
Kudos: 3,487
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
We are told the numbers are positive integers so that leaves out zero.

All positive integers are either odd or even. If 10 of 20 are odd, the rest are even. (Assuming the statement means exactly 10 are even. If it means at least ten are even we don't have an answer.)

B doesn't work because we could have even numbers (e.g.2, 6, 10) that are not multiples of 4 so that there might be more than 10 even integers. Insufficient.

Hence A.
avatar
Jashan25
Joined: 15 Aug 2018
Last visit: 06 Sep 2021
Posts: 12
Own Kudos:
Given Kudos: 84
Location: India
Posts: 12
Kudos: 7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
axl169
Set S consists of 20 different positive integers. How many of the integers in S are odd?

(1) 10 of the integers in S are even
(2) 10 of the integers in S are multiples of 4

I chose D, in that each stmt. is sufficient but the answer is A. Can someone explain why stmt. 2 is not sufficient? All multiples of 4 are even (such as 4, 8, 12, 16, 20, 24, 28, 32....), so if we have 10, the other ten integers must be odd...am I missing something?

Any help is appreciated, thx!


I don't think that answer should be A as it is not written that only 10 are even.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 36,716
Own Kudos:
Posts: 36,716
Kudos: 963
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
100116 posts