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

 It is currently 17 Jun 2018, 22:55

### 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

# In the figure above, the circle with center O has diameter 10 and the

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46051
In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

16 Nov 2017, 08:30
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:19) correct 3% (01:25) wrong based on 68 sessions

### HideShow timer Statistics

In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20

Attachment:

2017-11-16_1929.png [ 5.7 KiB | Viewed 1115 times ]

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 326
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

16 Nov 2017, 08:55
A. 8

OP=10/2+6/2 =8

Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Intern
Joined: 27 Jan 2017
Posts: 29
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

16 Nov 2017, 08:55
Think the answers is A here.

Circle O ==> D=10 so R=5
Circle P ==> D=6 so R=3

O and P are tangent, so no distance between them. 5+3 = 8, hence A.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3501
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

16 Nov 2017, 09:32
$$\frac{10+6}{2} = 8$$

Answer will be (A)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Joined: 22 Apr 2015
Posts: 28
WE: Business Development (Internet and New Media)
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

16 Nov 2017, 09:51
OM=5 PM=3
OP=5+3=8
Attachments

Untitled1.png [ 9.13 KiB | Viewed 747 times ]

SC Moderator
Joined: 22 May 2016
Posts: 1745
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

16 Nov 2017, 13:05
Bunuel wrote:

In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20

Attachment:
2017-11-16_1929.png

Two circles tangent to each other share a common tangent line at the point of tangency.

At that point, the common tangent line is perpendicular to the radius of each circle.

Therefore, the radii and the point of tangency lie on the same line, which is why we can add the lengths of the radii to get the length of OP.

2r = diameter
Circle O radius = 5
Circle P radius = 3
OP = (3+5) = 8

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2738
Location: United States (CA)
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

17 Nov 2017, 14:26
Bunuel wrote:

In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20

We see that the radius of circle O is 5 and the radius of circle P is 3; thus, the length of segment OP is 8.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Director
Joined: 21 May 2013
Posts: 645
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

02 Dec 2017, 03:07
1
Bunuel wrote:

In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20

Attachment:
2017-11-16_1929.png

Bunuel-please correct the answer-it should be A.
Math Expert
Joined: 02 Sep 2009
Posts: 46051
Re: In the figure above, the circle with center O has diameter 10 and the [#permalink]

### Show Tags

02 Dec 2017, 04:25
KS15 wrote:
Bunuel wrote:

In the figure above, the circle with center O has diameter 10 and the circle with center P has diameter 6. If the two circles are tangent to each other, what is the length of the segment OP?

(A) 8
(B) 10
(C) 12
(D) 16
(E) 20

Attachment:
2017-11-16_1929.png

Bunuel-please correct the answer-it should be A.

Edited. Thank you.
_________________
Re: In the figure above, the circle with center O has diameter 10 and the   [#permalink] 02 Dec 2017, 04:25
Display posts from previous: Sort by

# In the figure above, the circle with center O has diameter 10 and the

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.