[GMAT math practice question]
a, b, c, d satisfy a-1=b+2=c-3=d+4. Which of a, b, c, d is the largest?
A. a
B. b
C. c
D. d
E. all same
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
a, b, c, d satisfy a-1=b+2=c-3=d+4. Which of a, b, c, d is t
This topic has expert replies
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Rewrite each value in terms of the same variable.Max@Math Revolution wrote:[GMAT math practice question]
a, b, c, d satisfy a-1=b+2=c-3=d+4. Which of a, b, c, d is the largest?
A. a
B. b
C. c
D. d
E. all same
Given: a - 1 = b + 3
Subtract 3 from both sides to get: b = a - 4
Given: a - 1 = c - 3
Add 3 to both sides to get: c = a + 2
Given: a - 1 = d + 4
Subtract 4 from both sides to get: d = a - 5
So, a, b, c and d are equal to a, a-4, a+2 and a-5 respectively.
Among the values a, a-4, a+2 and a-5, the BIGGEST is a+2
Answer: C
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
=>
Since a - 1 = b + 2, we have a - b = 3 > 0 or a > b.
Since b + 2 = c - 3, we have b = c - 5 or a - b = a - ( c - 5 ) = a - c + 5 = 3 or a - c = -2 < 0. Thus we have c > a > b.
Since c - 3 = d + 4, we have c - d = 7 and c > d.
Thus c is the largest value of a, b, c and d.
Therefore, C is the answer.
Answer: C
Since a - 1 = b + 2, we have a - b = 3 > 0 or a > b.
Since b + 2 = c - 3, we have b = c - 5 or a - b = a - ( c - 5 ) = a - c + 5 = 3 or a - c = -2 < 0. Thus we have c > a > b.
Since c - 3 = d + 4, we have c - d = 7 and c > d.
Thus c is the largest value of a, b, c and d.
Therefore, C is the answer.
Answer: C
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
