GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Aug 2018, 12:18

### 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

# Quadrilateral ABCD is inscribed into a circle. What is the

Author Message
Senior Manager
Joined: 05 Oct 2008
Posts: 258

### Show Tags

29 Oct 2008, 23:57
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?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
VP
Joined: 17 Jun 2008
Posts: 1474

### Show Tags

30 Oct 2008, 00:18
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

### Show Tags

30 Oct 2008, 02:32
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: 98

### Show Tags

30 Oct 2008, 11:32
what does than symbol mean, anyway Lengh of arc, or measure of an angle, or smth else?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Geometry &nbs [#permalink] 30 Oct 2008, 11:32
Display posts from previous: Sort by

# Quadrilateral ABCD is inscribed into a circle. What is the

Moderator: chetan2u

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.