Last visit was: 16 Sep 2026, 08:18 It is currently 16 Sep 2026, 08:18
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

d > c

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36149
Own Kudos [?]: 43323 [9]
Given Kudos: 27246
Send PM
d > c [#permalink] New post   15 Sep 2017, 08:40
1
Expert Reply
8
Bookmarks
00:00

Question Stats:

64% (01:37) correct 35% (03:21) wrong based on 218 sessions

Hide Show timer Statistics




Attachment:
triangle.jpg
triangle.jpg [ 25.59 KiB | Viewed 15384 times ]


\(d > c\)

Quantity A
Quantity B
a
d - b


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.
ShowHide Answer
Official Answer
B
avatar
IlCreatore
Director
Director
Joined: 03 Sep 2017
Posts: 518
Own Kudos [?]: 749 [4]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   16 Sep 2017, 08:10
4
I focus on the third angle of the first triangle from above. This angle, that we can call x, is equal to 180°-a-b since the sum of the internal angles of a triangle is 180° but it is also equal to 180°-c since the flat angle is 180°. Thus, we have that x = 180°-a-b and x = 180°-c. Equating these two expressions we get 180°-a-b = 180°-c, from which we get that angle c =is equal to angle a plus angle b. More interestingly, we can rewrite the expression a+b = c as a = c-b. Since we know that d > c, and we have to compare a with d-b it is straightforward to deduce that since a = c-b then it must be lower than d-b given that d is a larger integer to which we subtract the same quantity b. Then the answer is B.
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 141 [0]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   13 Nov 2018, 17:09
Please explain with pictures.
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12827 [4]
Given Kudos: 136
Send PM

Top Member of the Month
Re: d > c [#permalink] New post   15 Nov 2018, 13:11
4
Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project




Attachment:
triangle.jpg


\(d > c\)

Quantity A
Quantity B
a
d - b


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.


Let's first focus on the red triangle below.
Since all 3 angles must add to 180°, we can conclude that the 3rd angle must equal 180 - (a + b)
Image


Now focus on the highlighted line below.
Image

Since angles on a line must add to 180°, we can write: [180 - (a + b)] + c = 180
Simplify left side to get: 180 - a - b + c = 180
Subtract 180 from both sides to get: -a - b + c = 0
Add a to both sides: -b + c = a
Add b to both sides: c = a + b we'll use this information shortly....

GIVEN:
Quantity A: a
Quantity B: d - b

Add b to both quantities to get:
Quantity A: a + b
Quantity B: d

Since already concluded that c = a + b, we can replace a + b with c to get:
Quantity A: c
Quantity B: d

Finally, we're told that d > c, so the correct answer is B

Cheers,
Brent
avatar
Fatemeh
Manager
Manager
Joined: 22 Feb 2018
Posts: 163
Own Kudos [?]: 225 [3]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   27 Nov 2018, 11:51
3
Answer: B
Consider the top triangle:
a + b + (180-c) = 180
a + b = c


Consider the middle triangle:
c + (180-d) + a2 = 180
(The angle just under a is called a2)


We have :
a + b = c
c + (180-d) + a2 = 180
We substitute c in second expression with first expression:

(a+ b) + (180-d) + a2 = 180
a + a2 = d-b

As a2 can’t be 0, d-b is bigger than a, the answer is B.
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 141 [0]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   11 Jan 2019, 18:07
1
Carcass wrote:
\(d > c\)

Quantity A
Quantity B
a
d - b

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.
Attachment:
triangle.jpg
triangle.jpg [ 25.59 KiB | Viewed 14184 times ]

Now I get it,

a+b=c (Triangle property)
=>a=c-b.............(i)

now,
Quantity A:a
Quantity B:d-b

Quantity A:c-b (replacing value from i)r
Quantity B:d-b

Quantity A:c-b+b (add b)
Quantity B:d-b+b (add b)

Quantity A:c
Quantity B:d

Given,
d>c

Hence
Quantity B is greater.
avatar
jelal123
Manager
Manager
Joined: 08 Dec 2018
Posts: 94
Own Kudos [?]: 71 [0]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   05 Mar 2019, 06:41
I got the math correct, though after toiling (!) for ten minutes . I used few equation based on the angles of the triangles. However, 180-a-b+c=180 ( straight angle) . So, c=a+b. as d>c, so d>a+b and d-b>a. Answer B.
avatar
sandipanroy81
Intern
Intern
Joined: 21 May 2019
Posts: 7
Own Kudos [?]: 12 [3]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   20 Aug 2019, 18:45
3
The easiest approach is ,

According to triangle theory, an Exterior angle is always the sum of opposite interior angles of any triangle.

So we can write (from the figure provided) c=a+b and provided is d>c

therefore , we can write substituting the value of c ,

d>a+b
=> d-b > a

hence , the answer is option B
avatar
Darpan
Intern
Intern
Joined: 24 Aug 2019
Posts: 30
Own Kudos [?]: 10 [0]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   25 Aug 2019, 06:31
1
simple approach
consider angle just below angle (a) to be (x)
now by exterior angle property d=x+c ...............[1]
and similarly a+b=c =>b=c-a..........................[2]
subtract eq. [2] from [1] to evaluate (d-b) by substituting the values of b and d
d-b=a+x
Quantity A= a and Quantity B=a+x
clearly choice b is the answer
User avatar
arc601
Manager
Manager
Joined: 19 Nov 2018
Posts: 102
Own Kudos [?]: 163 [0]
Given Kudos: 0
Send PM

Top Member of the Month
Re: d > c [#permalink] New post   27 Aug 2019, 08:09
1
Building on what others have said.

a + b = c {External Angle Theorem}

d > c {given}

therefore if we combine the two we get:

d > c = a + b

therefore (by transitive properties)

d > a + b

d - b > a

therefore answer is B
avatar
pankajnpcil
Intern
Intern
Joined: 20 May 2018
Posts: 4
Own Kudos [?]: 8 [0]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   31 Aug 2019, 19:39
2
Very easy c=a+b (triangle property) as d>c hence d> a+b or rearranging d-b>a
avatar
B
prachimishra
Intern
Intern
Joined: 20 Mar 2021
Posts: 17
Own Kudos [?]: 12 [1]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   31 May 2021, 04:05
1
C is exterior angle for triangle on top
c=a+b
d>c given
d>a+b
d-b>a hence QtyB is greater
avatar
G
taskforce
Manager
Manager
Joined: 19 Feb 2021
Posts: 182
Own Kudos [?]: 189 [1]
Given Kudos: 425
GRE 1: Q170 V170
Send PM
Re: d > c [#permalink] New post   22 Jun 2021, 08:22
1
Because an exterior angle of a triangle is equal to the sum of the two
opposite interior angles of the triangle (in this case, the top small triangle), c =
a + b.
Therefore, d > c and a + b = c taken together imply that d > a + b.
Subtract b from both sides: d – b > a.
Quantity B is greater.
User avatar
P
Ks1859
Retired Moderator
Joined: 09 Jan 2021
Posts: 574
Own Kudos [?]: 868 [0]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Reviews Badge
Re: d > c [#permalink] New post   26 Jun 2021, 04:08
Solution:

Angle supplementary to d will be 180-d; angle supplementary to c will be 180-c

Thus, the top most triangle will be: a+b+(180-c)=180
a+b+180-c=180
a+b-c=0
Therefore, a=c-b

Now, we can substitute the above in Qty A
Qty A: c-b
Qty B: d-b

Adding b will leave us with c & d
And as we know c<d

Qty A<Qty B

IMO B

Hope this helps!
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 6089
Own Kudos [?]: 87 [0]
Given Kudos: 0
Send PM
Re: d > c [#permalink] New post   17 Nov 2024, 06:02
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: d > c [#permalink]
17 Nov 2024, 06:02
Moderators:
adewale223
GRE Instructor
166 posts
bronaugust
GRE Forum Moderator
37 posts
VibhuAnurag
GRE Instructor
275 posts
Nsp10
Moderator
45 posts
tyrant100
GRE Forum Moderator
144 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 | Advertise