Last visit was: 16 Feb 2025, 09:19 It is currently 16 Feb 2025, 09:19
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

AB=4,BC=24, and AD=26

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30897
Own Kudos [?]: 37294 [3]
Given Kudos: 26165
Send PM
AB=4,BC=24, and AD=26 [#permalink] New post   18 Sep 2020, 10:27
1
Expert Reply
2
Bookmarks
00:00

Question Stats:

47% (02:29) correct 52% (02:31) wrong based on 63 sessions

Hide Show timer Statistics

Attachment:
GRE AB=4,BC=24, and AD=26.png
GRE AB=4,BC=24, and AD=26.png [ 12.38 KiB | Viewed 3869 times ]


AB=4,BC=24, and AD=26

Quantity A
Quantity B
The length of segment CD
10



A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

320 GRE Math Questions
ShowHide Answer
Official Answer
B
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30897
Own Kudos [?]: 37294 [0]
Given Kudos: 26165
Send PM
Re: AB=4,BC=24, and AD=26 [#permalink] New post   18 Sep 2020, 10:28
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!

For more theory and practice see our GRE - Math Book
avatar
abdussalam
Intern
Intern
Joined: 18 Sep 2020
Posts: 1
Own Kudos [?]: 6 [0]
Given Kudos: 2
GPA: 3.61
Send PM
Re: AB=4,BC=24, and AD=26 [#permalink] New post   18 Sep 2020, 11:13
1
ans: B

let, the intersect point between AD and BC is E

now, <ABE=90 and <BAE=<BEA=45

the opposite side length (AB) of <BEA is 4

now <BEA=<CED=45 [corresponding angle]

so CD must be 4, because the opposite side length of 45 degree is 4.

so quantity B is greater
avatar
B
cote
Intern
Intern
Joined: 11 Aug 2020
Posts: 45
Own Kudos [?]: 76 [0]
Given Kudos: 17
Send PM
Re: AB=4,BC=24, and AD=26 [#permalink] New post   19 Sep 2020, 06:45
4
If you create an imaginary rectangle of vertices ABCX (with X the imaginary vertex), you get a triangle AXD. Then, you can use Pythagoras:

\((AX)^2 + (XD)^2 = (AD)^2\)

\(24^2 + (XD)^2 = 26^2\)

doing some math:

XD = 10.

but they are asking for CD, therefore,

(remember that XC = AB = 4)
CD = XD - XC,
CD = 10 - 4
CD = 6,

In conclusion, A<B, option B.
avatar
B
grenico
Manager
Manager
Joined: 05 Aug 2020
Posts: 101
Own Kudos [?]: 248 [3]
Given Kudos: 14
Send PM
Re: AB=4,BC=24, and AD=26 [#permalink] New post   22 Sep 2020, 13:41
3
Carcass wrote:
Attachment:
GRE AB=4,BC=24, and AD=26.png


AB=4,BC=24, and AD=26

Quantity A
Quantity B
The length of segment \(\overline{CD}\)
10



A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

320 GRE Math Questions



A quick solution is to realize that \(BC\) and \(AD\) are parts of a 5:12:13 right triangle.

To see it more clearly, drop a line down from point A and extend point C out to meet it. Essentially, what you have is \(BC\) being the height of this new triangle and \(AD\) being the new hypotenuse.

Since we have a 5:12:13 triangle, we know that new length of \(CD\) plus the added length must be 10 (10:24:26). That added length is actually the length of \(AB\), which is 4.

10 - 4 = 6, which is the length of \(CD\), giving the answer B.
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 173 [1]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: AB=4,BC=24, and AD=26 [#permalink] New post   07 Jun 2021, 00:32
1
cote wrote:
If you create an imaginary rectangle of vertices ABCX (with X the imaginary vertex), you get a triangle AXD. Then, you can use Pythagoras:

\((AX)^2 + (XD)^2 = (AD)^2\)

\(24^2 + (XD)^2 = 26^2\)

doing some math:

XD = 10.

but they are asking for CD, therefore,

(remember that XC = AB = 4)
CD = XD - XC,
CD = 10 - 4
CD = 6,

In conclusion, A<B, option B.


Best solution.
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5137
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: AB=4,BC=24, and AD=26 [#permalink] New post   02 Nov 2024, 18:26
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: AB=4,BC=24, and AD=26 [#permalink]
02 Nov 2024, 18:26
Moderators:
adewale223
GRE Instructor
94 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1131 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact