NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 23:56 It is currently 25 Apr 2024, 23:56
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

How many pairs (x,y) exist for which y>x when x and y each can take th

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92914
Own Kudos [?]: 619075 [2]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
How many pairs (x,y) exist for which y>x when x and y each can take th [#permalink] New post   24 Jan 2022, 08:45
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

64% (01:55) correct 36% (02:23) wrong based on 45 sessions
Hide Show timer Statistics
How many pairs (x,y) exist for which y>x when x and y each can take the integer values from -10 to 9 inclusive?

(A) 180
(B) 190
(C) 200
(D) 210
(E) 220




Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
B
User avatar
B
JerryAtDreamScore
Dream Score Representative
Joined: 07 Oct 2021
Posts: 391
Own Kudos [?]: 305 [1]
Given Kudos: 2
Send PM
Re: How many pairs (x,y) exist for which y>x when x and y each can take th [#permalink] New post   24 Jan 2022, 17:12
1
Kudos
Bunuel wrote:
How many pairs (x,y) exist for which y>x when x and y each can take the integer values from -10 to 9 inclusive?

(A) 180
(B) 190
(C) 200
(D) 210
(E) 220



Breaking Down the Info:

When y = -10, there are 0 x values.

When y = -9, there is 1 x value.

.....

When y = 10, there are 19 x values.

So we are adding 1, 2, 3, ..., 18, 19. That is \(\frac{1 + 19}{2}*19 = 190\)

Answer: B
User avatar
B
CEO2021
Intern
Intern
Joined: 13 Feb 2020
Posts: 46
Own Kudos [?]: 11 [0]
Given Kudos: 8
Send PM
How many pairs (x,y) exist for which y>x when x and y each can take th [#permalink] New post   02 Feb 2022, 04:19
JerryAtDreamScore wrote:
Bunuel wrote:
How many pairs (x,y) exist for which y>x when x and y each can take the integer values from -10 to 9 inclusive?

(A) 180
(B) 190
(C) 200
(D) 210
(E) 220



Breaking Down the Info:

When y = -10, there are 0 x values.

When y = -9, there is 1 x value.

.....

When y = 10, there are 19 x values.

So we are adding 1, 2, 3, ..., 18, 19. That is \(\frac{1 + 19}{2}*19 = 190\)

Answer: B


i think the above highlighted should be
"When y = 9, there are 19 x values"
User avatar
L
stne
SVP
SVP
Joined: 27 May 2012
Posts: 1680
Own Kudos [?]: 1424 [0]
Given Kudos: 632
Send PM
Re: How many pairs (x,y) exist for which y>x when x and y each can take th [#permalink] New post   13 Feb 2022, 04:35
CEO2021 wrote:
JerryAtDreamScore wrote:
Bunuel wrote:
How many pairs (x,y) exist for which y>x when x and y each can take the integer values from -10 to 9 inclusive?

(A) 180
(B) 190
(C) 200
(D) 210
(E) 220



Breaking Down the Info:

When y = -10, there are 0 x values.

When y = -9, there is 1 x value.

.....

When y = 10, there are 19 x values.

So we are adding 1, 2, 3, ..., 18, 19. That is \(\frac{1 + 19}{2}*19 = 190\)

[color=green]Answer: B[/col valor]


i think the above highlighted should be
"When y = 9, there are 19 x values"


CEO2021,

You are correct, minor typo by Jerry

Lets expand it.

\(9,8,7,6,5,4,3,2,1,0,-1,-2, -3,-4,-5,-6,-7,-8,-9,-10\)

So when \(y=9\) there are indeed \(19\) values of \(x \) from \(x=8\) to \(x= -10 \) inclusive

\(8-(-10)+1 =19\)
GMAT Club Bot
gmatclubot
Re: How many pairs (x,y) exist for which y>x when x and y each can take th [#permalink]
13 Feb 2022, 04:35
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions