BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

As the figure shows, A = -5 and B = 4. If AC:CD:DB=1:2:3, wh

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

As the figure shows, A = -5 and B = 4. If AC:CD:DB=1:2:3, wh

by Max@Math Revolution » Wed Jul 10, 2019 11:57 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question] 7.11

As the figure shows, A = -5 and B = 4. If AC:CD:DB=1:2:3, what are the values of C and D?

A. -3 and -1
B. -3.5 and -0.5
C. -2.5 and 0.5
D. 1 and 3
E. 0 and 1

Image
Top
Source: — Problem Solving |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

by deloitte247 » Fri Jul 12, 2019 7:48 pm
Distance between A to D = 4 - (-5) = 9
Since AC : CD : DB = 1 : 2 : 3
$$1x\ :\ 2x:\ \ 3x=9$$
$$1x+2x+3x=9$$
$$6x=9$$
$$x=\frac{9}{6}=1.5$$
$$Therefore,\ AC=1\cdot1.5=1.5$$ $$CD=2\cdot1.5=3$$ $$DB=3\cdot1.5=4.5$$
$$C=-5+1.5=-3.5$$
$$D=-5+4.5=-0.5$$

Answer = option B
Top
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Sun Jul 14, 2019 4:54 pm
=>

Since AC:CD:DB = 1:2:3, we can put AC = k, CD = 2k and DB = 3k.
Then k + 2k + 3k = 6k = 4 - (-5) = 9 and k = 3/2.
Thus, C = A + k = -5 + (3/2) = -(7/2) = -3.5 and D = B - 3k = 4 - 9/2 = -(1/2) = -0.5.

Therefore, B is the answer.
Answer: B
Top
Post new topic Post Reply
• Page 1 of 1