|
|
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.
06 Dec 2022, 02:30
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (01:34) correct
13%
(01:23)
wrong
based on 72
sessions
History
Date
Time
Result
Not Attempted Yet
In the xy-plane above, is angle BAC greater than 90 degrees?
(1) Points A and B have different x-coordinates.
(2) The measure of angle B is twice the measure of angle C.
Attachment:
1.png [ 29.36 KiB | Viewed 1521 times ]
06 Dec 2022, 03:42
Kudos
Bookmarks
we have to check whether
BC^2 < AB^2 + AC^2
statement 1
we can find measure of AB using coordinates for a and b
let A(1,3) B (1,6)
AB =3
but nothing about AC and BC
insufficient
statement 2
angle b is greater than angle c
side AB> AC
but no info about AB
statement II insufficient
combining 1 and 2
we will get coordinates for point C
now we find measure of AC also
and check for
BC^2>AB^2+AC^2
option c correct
i am not sure about ans and solution
BC^2 < AB^2 + AC^2
statement 1
we can find measure of AB using coordinates for a and b
let A(1,3) B (1,6)
AB =3
but nothing about AC and BC
insufficient
statement 2
angle b is greater than angle c
side AB> AC
but no info about AB
statement II insufficient
combining 1 and 2
we will get coordinates for point C
now we find measure of AC also
and check for
BC^2>AB^2+AC^2
option c correct
i am not sure about ans and solution
06 Dec 2022, 07:58
Kudos
Bookmarks
Bunuel
(1) Points A and B have different x-coordinates.
If points A and B have different x coordinates then angle BAC could be acute, right angle or obtuse.
Not Sufficient.
(2) The measure of angle B is twice the measure of angle C.
Scenario 1 : If angle B = 60 degrees and angle C = 30 degrees
Then we have angle BAC = 90 degrees
Scenario 2 : If angle B = 30 degrees and angle C = 15 degrees
Then we have angle BAC = 135 degrees
Scenario 3 : If angle B = 80 degrees and angle C = 40 degrees
Then we have angle BAC = 60 degrees
Not Sufficient
Combining (1) and (2) we get that scenarios in condition 2 are all still valid hence insufficient.
IMO Option E
Note - We cannot assume that line AC is parallel to the x-axis
