GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Point (a, b) is a lattice point in xy-plane where, a and b are integer
[#permalink]
26 Aug 2021, 01:21
26 Aug 2021, 01:21
3
1
21
Bookmarks
00:00
Question Stats:
51% (02:34) correct
48% (02:03) wrong based on 70 sessions
Hide Show timer Statistics
Point (a, b) is a lattice point in xy-plane where, a and b are integers.
Circle O has a center at (–2, 1) and a radius of 6. Some points, such as the center (–2, 1) lie inside the circle, but a point such as (4, 1) is on the circle but not inside the circle.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Circle O has a center at (–2, 1) and a radius of 6. Some points, such as the center (–2, 1) lie inside the circle, but a point such as (4, 1) is on the circle but not inside the circle.
Quantity A |
Quantity B |
Number of lattice points that are inside the circle O |
128 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: Point (a, b) is a lattice point in xy-plane where, a and b are integer
[#permalink]
04 Sep 2021, 08:04
04 Sep 2021, 08:04
5
Explanation:
Since the centre of circle O is at (-2, 1) and radius is 6
Let us go 6 units Left (-8, 1), Right (4, 1), Up (-2, 7) and Down (-2, -5)
Therefore,
integer values of x will lie between -8 and 4
i.e. 11 values in total
integer values of y will lie between 7 and -5
i.e. 11 values in total
Now, construct a square will each side 11 units
(Refer to the figure below)
Notice the number of points inside the square are (11)(11) = 121
But, the points inside the circle ) would be less.
Col. A: Value less than 121
Col. B: 128
Hence, option B
Since the centre of circle O is at (-2, 1) and radius is 6
Let us go 6 units Left (-8, 1), Right (4, 1), Up (-2, 7) and Down (-2, -5)
Therefore,
integer values of x will lie between -8 and 4
i.e. 11 values in total
integer values of y will lie between 7 and -5
i.e. 11 values in total
Now, construct a square will each side 11 units
(Refer to the figure below)
Notice the number of points inside the square are (11)(11) = 121
But, the points inside the circle ) would be less.
Col. A: Value less than 121
Col. B: 128
Hence, option B
Attachments
Point (a, b) is a lattice point in xy-plane where, a and b are integers..png [ 41.8 KiB | Viewed 6099 times ]
General Discussion
Re: Point (a, b) is a lattice point in xy-plane where, a and b are integer
[#permalink]
11 Jul 2026, 23:53
11 Jul 2026, 23:53
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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.
Thanks to another GRE Prep 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.
