Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 Jul 2015, 08:04

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Quadrilateral ABCD is inscribed into a circle. What is the

Author Message
TAGS:
Senior Manager
Joined: 05 Oct 2008
Posts: 272
Followers: 3

Kudos [?]: 135 [0], given: 22

Quadrilateral ABCD is inscribed into a circle. What is the [#permalink]  29 Oct 2008, 22:57
Quadrilateral $$ABCD$$ is inscribed into a circle. What is the value of $$\angle BAD$$ ?

1. $$AC = CD$$
2. $$\angle ADC = 70^o$$

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

Does that symbol signify arch?
SVP
Joined: 17 Jun 2008
Posts: 1570
Followers: 12

Kudos [?]: 203 [0], given: 0

Re: Geometry [#permalink]  29 Oct 2008, 23:18
E. From the two statements, we only know of A, C and D. Nothing is known for B. Hence, angle BAD can be anything.

P.S. I assumed the symbol represents angle.
Intern
Joined: 09 May 2008
Posts: 12
Location: Trieste, Italy
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: Geometry [#permalink]  30 Oct 2008, 01:32
I'd go for E as well, but let's tackle the problem in more depth.

A quadrilateral can be inscribed into a circle only when the sum of its opposite angles is 180.
So, A+C=B+D=180 => A=180-C
We need to know C in order to find the value of A.

1) AC=CD: From this we know the ACD is an isosceles triangle, then the angles CDA and DAC are equal, but we do not have any information about C => INSUFFICIENT.

2) ADC=70: this means that angle B=110. Again, we don't know the value of C => INSUFFICIENT.

If we combine stmts 1&2, we get that angle DCA=40 (since it's DCA=180-70-70). But once again, this isn't enough to understand the value of the complete angle in C => E, stmts 1&2 together are not sufficient.

OA?
Manager
Joined: 12 Oct 2008
Posts: 105
Followers: 1

Kudos [?]: 7 [0], given: 0

Re: Geometry [#permalink]  30 Oct 2008, 10:32
what does than symbol mean, anyway Lengh of arc, or measure of an angle, or smth else?
Re: Geometry   [#permalink] 30 Oct 2008, 10:32
Similar topics Replies Last post
Similar
Topics:
Square ABCD is inscribed in circle O. What is the area of 4 19 Nov 2008, 18:31
What is the area of a triangle inscribed in a circle 7 22 Dec 2007, 20:54
A square is inscribed in a circle of radius 4. What is the 4 28 Oct 2007, 21:23
1 What is the diameter of the circle inscribed in an isoceles 8 27 May 2006, 07:52
Circle O is inscribed within square ABCD. Square EFGH is 6 09 May 2006, 19:09
Display posts from previous: Sort by