Last visit was: 22 Apr 2026, 22:37 It is currently 22 Apr 2026, 22:37
Home
Messages
Tests
Schools
Events
Close
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

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 GMAT 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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,763
Own Kudos:
810,696
 [2]
Given Kudos: 105,850
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,763
Kudos: 810,696
 [2]
In the diagram below, which of the following is always true? 06 Mar 2018, 21:56
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

80% (00:57) correct 20% (01:01) wrong based on 95 sessions

History

Date
Time
Result
Not Attempted Yet

In the diagram below, which of the following is always true?

I. a > b
II. c > a
III. d > a

(A) I only
(B) II and III only
(C) I, II, and III
(D) II only
(E) None of these


Show Spoiler
Attachment:
2018-03-07_0854.png
2018-03-07_0854.png [ 15 KiB | Viewed 3386 times ]
ShowHide Answer
Official Answer
E
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,763
Own Kudos:
810,696
Given Kudos: 105,850
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,763
Kudos: 810,696
In the diagram below, which of the following is always true? 06 Mar 2018, 21:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the diagram below, which of the following is always true?

I. a > b
II. c > a
III. d > a

(A) I only
(B) II and III only
(C) I, II, and III
(D) II only
(E) None of these


Show Spoiler
Attachment:
2018-03-07_0854.png
Show more

23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders




29. Graphs and Illustrations



For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
avatar
minatminat
avatar
Joined: 11 Jan 2018
Last visit: 25 Jun 2018
Posts: 17
Own Kudos:
2
Given Kudos: 19
Posts: 17
Kudos: 2
In the diagram below, which of the following is always true? 07 Mar 2018, 00:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
In the diagram below, which of the following is always true?

I. a > b
II. c > a
III. d > a

From the diagram, we can figure out the below:
a+b = 180
c+d = a

I. a > b
- Not necessarily always bigger than b

II. c > a
c+d = a ( so c is less than a )

III. d > a
c+d = a ( so d is less than a )

The Answer is E
avatar
movien
avatar
Joined: 17 Sep 2016
Last visit: 13 Dec 2018
Posts: 4
Given Kudos: 2
Products:
My Reviews
Posts: 4
Kudos: 0
In the diagram below, which of the following is always true? 07 Mar 2018, 02:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMHO A.

2 & 3 are wrong, so that rules out all options.

Why A is right?

a+b=180.

b+c+d=180.
c+d=180-b
also b<c+d. properties of triangle.
so b<180-b
so 2b<180. b<90.
a+b=180. so a>b.

Kindly correct if any wrong.
User avatar
Mo2men
User avatar
Joined: 26 Mar 2013
Last visit: 09 May 2023
Posts: 2,426
Own Kudos:
1,508
 [1]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Products:
My Reviews
Schools: Erasmus (II)
Posts: 2,426
Kudos: 1,508
 [1]
In the diagram below, which of the following is always true? 07 Mar 2018, 10:46
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
movien
IMHO A.

2 & 3 are wrong, so that rules out all options.

Why A is right?

a+b=180.

b+c+d=180.
c+d=180-b
also b<c+d. properties of triangle.
so b<180-b
so 2b<180. b<90.
a+b=180. so a>b.

Kindly correct if any wrong.
Show more

Can a triangle with b = 120 & c = 20 & d =40 work??............b+ c + d =180.............but here b > a+c

Then, the highlighted is not necessarily true.
avatar
movien
avatar
Joined: 17 Sep 2016
Last visit: 13 Dec 2018
Posts: 4
Given Kudos: 2
Products:
My Reviews
Posts: 4
Kudos: 0
In the diagram below, which of the following is always true? 07 Mar 2018, 22:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Mo2men
movien
IMHO A.

2 & 3 are wrong, so that rules out all options.

Why A is right?

a+b=180.

b+c+d=180.
c+d=180-b
also b<c+d. properties of triangle.
so b<180-b
so 2b<180. b<90.
a+b=180. so a>b.

Kindly correct if any wrong.

Can a triangle with b = 120 & c = 20 & d =40 work??............b+ c + d =180.............but here b > a+c

Then, the highlighted is not necessarily true.
Show more

Then i Guess the property b<c+d is wrong..
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,710
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,710
In the diagram below, which of the following is always true? 08 Mar 2018, 17:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the diagram below, which of the following is always true?

I. a > b
II. c > a
III. d > a

(A) I only
(B) II and III only
(C) I, II, and III
(D) II only
(E) None of these


Show Spoiler
Attachment:
2018-03-07_0854.png
Show more

Since the measure of an exterior angle of a triangle must be equal to the sum of the measures of the two remote interior angles, we can create the equation:

a = c + d

Thus a must be greater than c and d. So Roman numerals II and III are definitely incorrect.

If a = 100, then b = 80. But if a = 80, then b = 100, and we see that Roman numeral I is not always true.

Answer: E
User avatar
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 28 Mar 2025
Posts: 1,142
Own Kudos:
2,973
Given Kudos: 480
Location: India
Posts: 1,142
Kudos: 2,973
In the diagram below, which of the following is always true? 12 Mar 2018, 11:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
movien
Mo2men
movien
IMHO A.

2 & 3 are wrong, so that rules out all options.

Why A is right?

a+b=180.

b+c+d=180.
c+d=180-b
also b<c+d. properties of triangle.
so b<180-b
so 2b<180. b<90.
a+b=180. so a>b.

Kindly correct if any wrong.

Can a triangle with b = 120 & c = 20 & d =40 work??............b+ c + d =180.............but here b > a+c

Then, the highlighted is not necessarily true.

Then i Guess the property b<c+d is wrong..
Show more

Hello

The property b < c+d does NOT apply to the angles of a triangle (meaning its not necessary that sum of two angles has to be greater than the third one)
But it DOES apply to the sides of a triangle. So a triangle with sides b, c and d respectively will always have the following:

b+c > d
c+d > b
b+d > c
Moderators:
Bunuel
Math Expert
109763 posts
Krunaal
Tuck School Moderator
853 posts