GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 22 Jan 2020, 18:35

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

The set S is the set of all odd integers, and a and b are two elements

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60605
The set S is the set of all odd integers, and a and b are two elements  [#permalink]

Show Tags

New post 10 Dec 2019, 05:43
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (01:03) correct 45% (01:08) wrong based on 28 sessions

HideShow timer Statistics

Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8341
Re: The set S is the set of all odd integers, and a and b are two elements  [#permalink]

Show Tags

New post 10 Dec 2019, 23:05
Bunuel wrote:
The set S is the set of all odd integers, and a and b are two elements of set S. Which of the following must also be an element of set S?

I. \(ab\)

II. \(\frac{a}{b}\)

III. \(a^b\)

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III


A MUST be true question..

S consists of all odd integers.

a and b are also odd..

I. \(ab\)...ab will always be odd and will be part of the set S

II. \(\frac{a}{b}\). If b is a factor of a, yes, otherwise no. for example a=9 and b=3 9/3=3 yes..
But say a=7 and b=3, 7/3 is a fraction and not odd integer..

III. \(a^b\)...The property of odd/even depends on the base, a, till the time b is positive integer. SO Yes a^b will be odd.

I and III

D
_________________
GMAT Club Bot
Re: The set S is the set of all odd integers, and a and b are two elements   [#permalink] 10 Dec 2019, 23:05
Display posts from previous: Sort by

The set S is the set of all odd integers, and a and b are two elements

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne