Last visit was: 19 Nov 2025, 06:41 It is currently 19 Nov 2025, 06:41
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
User avatar
ps_dahiya
User avatar
Joined: 20 Nov 2005
Last visit: 15 Oct 2019
Posts: 1,486
Own Kudos:
1,215
Concentration: Strategy, Entrepreneurship
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Posts: 1,486
Kudos: 1,215
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 16:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
In the below figure, what is angle PBC?

1. ABCD is a square
2. PDC is an equilateral triangle



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
Natalya Khimich
User avatar
Joined: 13 Aug 2005
Last visit: 24 Jan 2007
Posts: 56
Own Kudos:
4
Posts: 56
Kudos: 4
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 17:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It is C.
From 1. We know only that all the sides are the same and angles are 90.
not suf.
From 2. angle PDC = DPC = CDP=60 not suf.

Together.
Angle PCB = 90-60=30,
PC=BC =>agle BPC = PBC=(180-30)/2=75
Suf.
User avatar
trublu
User avatar
Joined: 01 Feb 2006
Last visit: 21 May 2018
Posts: 33
Own Kudos:
1
Posts: 33
Kudos: 1
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 17:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
C. Both statements are sufficient together.

CP == CB
Angle CPB = 30 degrees

Angle PBC = (180-30)/2 = 75 degrees
User avatar
ps_dahiya
User avatar
Joined: 20 Nov 2005
Last visit: 15 Oct 2019
Posts: 1,486
Own Kudos:
1,215
Concentration: Strategy, Entrepreneurship
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Posts: 1,486
Kudos: 1,215
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 17:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
:wall :wall :wall :wall :wall :wall

How can I be so silly.... you guys are rigjt.
User avatar
cJackSparrow
User avatar
Joined: 09 Feb 2006
Last visit: 04 Apr 2006
Posts: 10
Own Kudos:
1
Location: Raleigh, NC
Posts: 10
Kudos: 1
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 20:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(i) and (ii) are clearly insufficient on their own.

Rule out A,B,D.

With (i) n (ii) together:

- If Triangle PDC is equilateral, PCD = 60 and PCB = 30 as its a square.
- Triangle PBC is Isoceles with the angle opp to base = 30
- The other 2 angles CPB and CBP are hence (180-30)/2 = 75

Answer: C
User avatar
trublu
User avatar
Joined: 01 Feb 2006
Last visit: 21 May 2018
Posts: 33
Own Kudos:
1
Posts: 33
Kudos: 1
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 20:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ps_dahiya
:wall :wall :wall :wall :wall :wall

How can I be so silly.... you guys are rigjt.
Show more
Did you try drawing it out yourself. That always helps me.
User avatar
TeHCM
User avatar
Joined: 06 Jun 2004
Last visit: 30 Sep 2013
Posts: 490
Own Kudos:
1,189
Location: CA
Posts: 490
Kudos: 1,189
In the below figure, what is angle PBC? 1. ABCD is a square 13 Feb 2006, 21:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Agree with everyone's working, PBC = 75 degrees. C
User avatar
harinder_sandhu
User avatar
Joined: 10 Nov 2005
Last visit: 07 Jun 2006
Posts: 18
Own Kudos:
1
Location: India
Posts: 18
Kudos: 1
In the below figure, what is angle PBC? 1. ABCD is a square 14 Feb 2006, 00:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
same explanantion...answer C
User avatar
Avis
User avatar
Joined: 14 Dec 2005
Last visit: 05 Apr 2006
Posts: 36
Own Kudos:
76
Posts: 36
Kudos: 76
In the below figure, what is angle PBC? 1. ABCD is a square 19 Feb 2006, 12:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
how did u guys come to the conclusion that triangle PBC is isoscles?
thanks
siva
User avatar
trublu
User avatar
Joined: 01 Feb 2006
Last visit: 21 May 2018
Posts: 33
Own Kudos:
1
Posts: 33
Kudos: 1
In the below figure, what is angle PBC? 1. ABCD is a square 19 Feb 2006, 13:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Avis
how did u guys come to the conclusion that triangle PBC is isoscles?
thanks
siva
Show more
ABCD is a square. pdc is an egquilateral triangle that shares a side with square ABCD. Sides DC aand BC are clearly equal since they are part of the same square. Side PC = DC = BC. PC and BC form the second triangle with an angle of 30 degrees. A 30 degree angle with 2 equal sides proves that it is an isosceles triangle.

Hope it helps. Not sure I explained very well. Try drawing it out. It makes it much easier. The innacurate drawing could really throw ppl off.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderators:
Bunuel
Math Expert
105388 posts
GMATBusters
GMAT Tutor
1924 posts