|
|
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.
12 May 2020, 00:34
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
25% (03:23) correct
75%
(02:48)
wrong
based on 16
sessions
History
Date
Time
Result
Not Attempted Yet
Let a, b, and c be non-zero real numbers such that
Capture.PNG [ 2.07 KiB | Viewed 1481 times ]
Find the value of (a-b)(b-c)(c-a).
A. -1
B. 0
C. 1
D. 3
E. 6
Attachment:
Capture.PNG [ 2.07 KiB | Viewed 1481 times ]
A. -1
B. 0
C. 1
D. 3
E. 6
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
12 May 2020, 01:11
Kudos
Bookmarks
a^2+a=b^2 ---(1)
b^2+b=c^2 ---(2)
c^2+c=a^2 ---(3)
(1)+(2)+(3)
a+b+c=0 ---(4)
form (1)
a^2-b^2=-a
or,(a+b)(a-b)=-a
or,(-c)(a-b)=-a
or,(a-b)=a/c ---(5)
similarly,(b-c)=b/a ---(6)
and,(c-a)=c/b ---(7)
now,(5)x(6)x(7)
we get,(a-b)(b-c)(c-a) = 1
correct answer C
b^2+b=c^2 ---(2)
c^2+c=a^2 ---(3)
(1)+(2)+(3)
a+b+c=0 ---(4)
form (1)
a^2-b^2=-a
or,(a+b)(a-b)=-a
or,(-c)(a-b)=-a
or,(a-b)=a/c ---(5)
similarly,(b-c)=b/a ---(6)
and,(c-a)=c/b ---(7)
now,(5)x(6)x(7)
we get,(a-b)(b-c)(c-a) = 1
correct answer C
Moderator:
