GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Oct 2019, 03:44

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

If y is an even integer and x is an odd integer, which of the followin

  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: 58313
If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post 13 Jun 2017, 08:47
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:40) correct 33% (01:46) wrong based on 94 sessions

HideShow timer Statistics

Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 745
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post Updated on: 13 Jun 2017, 09:28
Bunuel wrote:
If y is an even integer and x is an odd integer, which of the following expressions could be an even integer?

(A) 3x + y/2
(B) (x + y)/2
(C) x + y
(D) x/4 − y/2
(E) x^2 + y^2


Let \(y = 2\), \(x = 1\)

(A) \(3x + \frac{y}{2}\) = 3+ \(\frac{2}{2} = 3 + 1 = 4\) ---------- Even

(B) \(\frac{(x + y)}{2}\) = \(\frac{(1 + 2)}{2}\) = \(\frac{3}{2} = 1.5\)

(C) \(x + y = 1 + 2 = 3\)

(D) \(\frac{x}{4} − \frac{y}{2} = \frac{1}{4} - \frac{2}{2} = \frac{1}{4} - 1 = \frac{1-4}{4} = -\frac{3}{4} = -0.75\)

(E) \(x^2 + y^2 = 1^2 + 2^2 = 1 + 4 = 5\)

Answer A...

Originally posted by sashiim20 on 13 Jun 2017, 09:10.
Last edited by sashiim20 on 13 Jun 2017, 09:28, edited 1 time in total.
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3335
Location: India
GPA: 3.12
If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post 13 Jun 2017, 09:25
1
1.Any even number divided by 2 will give an odd number
2.Any odd number multiplied by odd number gives another odd number.

Two odd numbers added give an even number.

Hence, Option A is the answer option!
_________________
You've got what it takes, but it will take everything you've got
Current Student
avatar
S
Joined: 06 Nov 2016
Posts: 102
Location: India
GMAT 1: 710 Q50 V36
GPA: 2.8
Reviews Badge
Re: If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post 13 Jun 2017, 09:34
IMO A.

If x is 1 and y is 2, answer is 4 which is even
Manager
Manager
User avatar
S
Status: Don't Give Up!
Joined: 15 Aug 2014
Posts: 95
Location: India
Concentration: Operations, General Management
GMAT Date: 04-25-2015
WE: Engineering (Manufacturing)
CAT Tests
Re: If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post 17 Jun 2017, 03:25
pushpitkc wrote:
1.Any even number divided by 2 will give an odd number
2.Any odd number multiplied by odd number gives another odd number.

Two odd numbers added give an even number.

Hence, Option A is the answer option!



Hi!......i could not understand....If you take example of 4 divided by 2 then it will give 2 or take example of 8 divided by 2
_________________
- Sachin

-If you like my explanation then please click "Kudos"
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post 26 Jan 2018, 10:49
Bunuel wrote:
If y is an even integer and x is an odd integer, which of the following expressions could be an even integer?

(A) 3x + y/2
(B) (x + y)/2
(C) x + y
(D) x/4 − y/2
(E) x^2 + y^2


Notice the problem is a “could be” problem, not a “must be” problem. Let’s go through each answer choice, recalling that odd + odd = even, and odd + even = odd, and even + even = even.

A) 3x + y/2

3x is odd and y/2 could be odd (for example, if y = 6). Thus 3x + y/2 could be even.

The answer must be A. However, as an exercise, let’ verify that none of the other four choices could be even. That is, they will never be even.

B) (x + y)/2

x + y is odd and thus (x + y)/2 is not even an integer (no pun intended).

C) x + y

x + y is odd.

D) x/4 - y/2

x/4 is not an integer and y/2 is an integer, but their difference will not be an integer.

E) x^2 + y^2

x^2 is odd and y^2 is even, but their sum will be odd. Recall here that odd x odd = odd and even x even = even.

Answer: A
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 20 Dec 2014
Posts: 36
GMAT ToolKit User
Re: If y is an even integer and x is an odd integer, which of the followin  [#permalink]

Show Tags

New post 26 Jan 2018, 11:59
pushpitkc wrote:
1.Any even number divided by 2 will give an odd number
2.Any odd number multiplied by odd number gives another odd number.

Two odd numbers added give an even number.

Hence, Option A is the answer option!


Hey 6 / 2 = 3 ( odd number ) but 8/2 &12/2 will give even number



Sent from my iPhone using GMAT Club Forum mobile app
_________________
Kindly press "+1 Kudos" to appreciate :)
GMAT Club Bot
Re: If y is an even integer and x is an odd integer, which of the followin   [#permalink] 26 Jan 2018, 11:59
Display posts from previous: Sort by

If y is an even integer and x is an odd integer, which of the followin

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





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