 It is currently 18 Jan 2020, 03:24 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Let x=3 , if x is an odd integer  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Founder  Joined: 18 Apr 2015
Posts: 9336
Followers: 193

Kudos [?]: 2267  , given: 8822

Let x=3 , if x is an odd integer [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 66% (00:46) correct 34% (00:50) wrong based on 50 sessions
Let $$\boxed {x} = 3$$ , if x is an odd integer;

Let $$\boxed {x} = 6$$, if x is an even integer.

$$r$$ and $$s$$ are integers, $$3r$$ is odd, and $$5 + s$$ is odd.

 Quantity A Quantity B $$\boxed {r}$$ $$\boxed {s}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor Joined: 10 Apr 2015
Posts: 2672
Followers: 101

Kudos [?]: 2953 , given: 45

Re: Let x=3 , if x is an odd integer [#permalink]
Expert's post
Carcass wrote:
Let $$\boxed {x} = 3$$ , if x is an odd integer;

Let $$\boxed {x} = 6$$, if x is an even integer.

$$r$$ and $$s$$ are integers, $$3r$$ is odd, and $$5 + s$$ is odd.

 Quantity A Quantity B $$\boxed {r}$$ $$\boxed {s}$$

----ASIDE-----------------
Some important rules:
#1. ODD +/- ODD = EVEN
#2. ODD +/- EVEN = ODD
#3. EVEN +/- EVEN = EVEN

#4. (ODD)(ODD) = ODD
#5. (ODD)(EVEN) = EVEN
#6. (EVEN)(EVEN) = EVEN

-----------------------------

GIVEN:
If x is ODD, then $$\boxed {x} = 3$$
If x is EVEN, then $$\boxed {x} = 6$$

So, for example:
$$\boxed {7} = 3$$
$$\boxed {11} = 3$$
$$\boxed {3} = 3$$

And
$$\boxed {8} = 6$$
$$\boxed {22} = 6$$
$$\boxed {6} = 6$$

ALSO GIVEN:
$$3r$$ is odd
Since 3 is odd and 3r is odd, we can conclude that r is ODD
This means $$\boxed {r} = 3$$

$$5 + s$$ is odd
Since 5 is odd, we can conclude that s is EVEN
This means $$\boxed {s} = 6$$

We get:
Quantity A: 3
Quantity B: 6

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Re: Let x=3 , if x is an odd integer   [#permalink] 16 Aug 2019, 14:30
Display posts from previous: Sort by

# Let x=3 , if x is an odd integer  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.