by: Bunuel
15 mins
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1008:00 PM PDT
-09:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
Sep 0812:30 AM EDT
-01:30 AM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
Sep 1001:00 AM EDT
-02:00 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
59% (01:30) correct
41%
(01:23)
wrong
based on 121
sessions
History
Date
Time
Result
Not Attempted Yet
B is a point equidistant from points A and C. How far is B from either point ?
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
(2) The distance between A and C is √2
Are You Up For the Challenge: 700 Level Questions
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
GMAT 1: 720 Q49 V40
Posts: 939
Although B is a point equidistant from points A and C, B does not necessarily lies within line AC.
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
B can be (0,0),(1,1),(3,3) etc to be equidistant from A and C. Each possible coordinate of B has different possible distance.
NOT SUFFICIENT
(2) The distance between A and C is √2.
We don't know the exact position of B.
NOT SUFFICIENT
(1)+(2)
B can be (0,0),(1,1),(3,3) etc to be equidistant from A and C. Each possible coordinate of B has different possible distance.
NOT SUFFICIENT
FINAL ANSWER IS (E)
Posted from my mobile device
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
B can be (0,0),(1,1),(3,3) etc to be equidistant from A and C. Each possible coordinate of B has different possible distance.
NOT SUFFICIENT
(2) The distance between A and C is √2.
We don't know the exact position of B.
NOT SUFFICIENT
(1)+(2)
B can be (0,0),(1,1),(3,3) etc to be equidistant from A and C. Each possible coordinate of B has different possible distance.
NOT SUFFICIENT
FINAL ANSWER IS (E)
Posted from my mobile device
CareerGeek
Joined: 20 Jul 2017
Last visit: 06 Sep 2026
Posts: 1,285
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
GMAT 1: 690 Q51 V30
Posts: 1,285
B is a point equidistant from points A and C
--> 'B' can lie anywhere on the perpendicular bisector of A & C.
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
'B' can lie anywhere on the perpendicular bisector of A & C.
--> Many values of 'B' are possible --> Insufficient
(2) The distance between A and C is √2
'B' can lie anywhere on the perpendicular bisector of A & C.
--> Many values of 'B' are possible --> Insufficient
Combining (1) & (2),
We have no information about a particular position of B. Point 'B' can still lie on the perpendicular bisector of AC & still be equidistant from A & C
--> Many values of 'B' are possible --> Insufficient
Option E
--> 'B' can lie anywhere on the perpendicular bisector of A & C.
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
'B' can lie anywhere on the perpendicular bisector of A & C.
--> Many values of 'B' are possible --> Insufficient
(2) The distance between A and C is √2
'B' can lie anywhere on the perpendicular bisector of A & C.
--> Many values of 'B' are possible --> Insufficient
Combining (1) & (2),
We have no information about a particular position of B. Point 'B' can still lie on the perpendicular bisector of AC & still be equidistant from A & C
--> Many values of 'B' are possible --> Insufficient
Option E
Quote:
Equidistant means that distance between B to A or B to C is the same;
However, depending where B is positioned the distance can change!
(1) insufic
distance AC = √(1-2)^2+(2-1)^2 = √2
(2) insufic
distance AC = √(1-2)^2+(2-1)^2 = √2
(1/2) insufic
Ans (E)
Given that B is a point equidistant from points A and C. We are to determine AB=AC.
In order to determine AB=AC, we need the coordinates of A, B, and C, or we need the coordinates of A and C and an indication of the distance from the midpoint of AC to B.
Statement 1: The coordinates of the points A and C are (1,2) and (2,1), respectively
Statement 1 gives us the coordinates A and C without coordinate of B. We have no idea of the relationship between the midpoint of AC and point B, hence we are unable to determine the exact distance between AB=AC, which can be √((2-1)^2+(1-2)^2)/2 = (√2)/2, if C B is located at the midpoint of A and C or any number depending on the coordinate of B. Statement 1 is insufficient.
Statement 2: The distance between A and C is √2
Statement 2 is clearly insufficient. Knowing the distance between A and C, we only need to know the distance or relationship between the midpoint of A and C and point B. Since we are not privy to this information, statement 2 is insufficient.
1+2
still insufficient. The information provided in statement 2 can be gotten from statement 1. Hence, combining statements 1 and 2 does not provide any new useful information.
The answer is E.
In order to determine AB=AC, we need the coordinates of A, B, and C, or we need the coordinates of A and C and an indication of the distance from the midpoint of AC to B.
Statement 1: The coordinates of the points A and C are (1,2) and (2,1), respectively
Statement 1 gives us the coordinates A and C without coordinate of B. We have no idea of the relationship between the midpoint of AC and point B, hence we are unable to determine the exact distance between AB=AC, which can be √((2-1)^2+(1-2)^2)/2 = (√2)/2, if C B is located at the midpoint of A and C or any number depending on the coordinate of B. Statement 1 is insufficient.
Statement 2: The distance between A and C is √2
Statement 2 is clearly insufficient. Knowing the distance between A and C, we only need to know the distance or relationship between the midpoint of A and C and point B. Since we are not privy to this information, statement 2 is insufficient.
1+2
still insufficient. The information provided in statement 2 can be gotten from statement 1. Hence, combining statements 1 and 2 does not provide any new useful information.
The answer is E.
minustark
Joined: 14 Jul 2019
Last visit: 01 Apr 2021
Posts: 465
Status:Student
Location: United States
Concentration: Accounting, Finance
Schools: Zicklin Baruch "22
GMAT 1: 650 Q45 V35
GPA: 3.9
WE:Education (Accounting)
Products:
B is a point equidistant from points A and C. How far is B from either point ?
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
(2) The distance between A and C is √2
So basically we can assume a circle with center B and two points on its circumference, A and B. we have to find out the radius of that circle, e.g distance of either between A and B or B and C.
1) We can calculate the distance between A and C. But for the radius, we need the point B. Not sufficient
2) Same info as 1. Not sufficient.
E is the answer.
(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
(2) The distance between A and C is √2
So basically we can assume a circle with center B and two points on its circumference, A and B. we have to find out the radius of that circle, e.g distance of either between A and B or B and C.
1) We can calculate the distance between A and C. But for the radius, we need the point B. Not sufficient
2) Same info as 1. Not sufficient.
E is the answer.
madgmat2019
Joined: 01 Mar 2019
Last visit: 17 Sep 2021
Posts: 584
Location: India
Concentration: Strategy, Social Entrepreneurship
GMAT 1: 580 Q48 V21
GPA: 4
Products:
GMAT 1: 580 Q48 V21
Posts: 584
1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively...........without knowing the co ordinates of B we cannot find the distance of A/C from B ..............INSUFFICIENT
2) The distance between A and C is √2......INSUFFICIENT
Even after combining both without knowing the co ordinates of B we cannot find the distance of A/C from B.....INSUFFICIENT
OA:E
2) The distance between A and C is √2......INSUFFICIENT
Even after combining both without knowing the co ordinates of B we cannot find the distance of A/C from B.....INSUFFICIENT
OA:E
Quote:
Statement 1: The coordinates of the points A and C are (1,2) and (2,1) ,respectively
There are infinite possibilities of points B which are equidistant from A and C hence
NOT SUFFICIENT
Statement 2: The distance between A and C is √2
There are infinite possibilities of points B which are equidistant from A and C and also infinite possibilities of A and C as well hence
NOT SUFFICIENT
Combining the statements
A and C are (1,2) and (2,1) which are at a distance of √2
But B still has infinite many possibilities hence
NOT SUFFICIENT
answer: Option E
_________________
GMATinsight (Tutor & Admission Consultant) | Contact for a FREE trial session
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
Moderators:
Announcements
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.