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

 It is currently 22 Apr 2019, 17:15

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

In the figure above, if MO = OP, then y =

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54440
In the figure above, if MO = OP, then y =  [#permalink]

Show Tags

08 Aug 2017, 10:22
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:41) correct 0% (00:00) wrong based on 17 sessions

HideShow timer Statistics

In the figure above, if MO = OP, then y =

(A) 45 – x
(B) 90 – x
(C) x
(D) 45 + x
(E) 60 + x

Attachment:

2017-08-08_2112_001.png [ 7.25 KiB | Viewed 555 times ]

_________________
Manager
Joined: 03 May 2017
Posts: 91
Re: In the figure above, if MO = OP, then y =  [#permalink]

Show Tags

08 Aug 2017, 10:28
Bunuel wrote:

In the figure above, if MO = OP, then y =

(A) 45 – x
(B) 90 – x
(C) x
(D) 45 + x
(E) 60 + x

Attachment:
2017-08-08_2112_001.png

P= x+y=45; y= 45- x, Hence A.
Director
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: In the figure above, if MO = OP, then y =  [#permalink]

Show Tags

08 Aug 2017, 10:53
Bunuel wrote:

In the figure above, if MO = OP, then y =

(A) 45 – x
(B) 90 – x
(C) x
(D) 45 + x
(E) 60 + x

Attachment:
2017-08-08_2112_001.png

Given $$MO = OP$$. Therefore $$\triangle$$ $$MPO$$ is isosceles ($$45:45:90$$) triangle.

$$\angle$$ $$OPM = \angle$$ $$OMP = 45^{\circ}$$

$$\angle$$ $$OPM = x^{\circ} + y^{\circ}$$

$$x^{\circ} + y^{\circ} = 45^{\circ}$$

$$y = 45 - x$$

Senior SC Moderator
Joined: 22 May 2016
Posts: 2647
In the figure above, if MO = OP, then y =  [#permalink]

Show Tags

08 Aug 2017, 12:15
Bunuel wrote:

In the figure above, if MO = OP, then y =

(A) 45 – x
(B) 90 – x
(C) x
(D) 45 + x
(E) 60 + x

Attachment:
2017-08-08_2112_001.png

Right angle at O and leg MO = leg OP: figure is a right isosceles triangle with angle measures 45-45-90.

x + y = 45
y = 45 - x

_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions with official explanations that were posted and moderated by the SC Team,
go to SC Butler here: https://gmatclub.com/forum/project-sc-butler-get-2-sc-questions-everyday-281043.html
In the figure above, if MO = OP, then y =   [#permalink] 08 Aug 2017, 12:15
Display posts from previous: Sort by

In the figure above, if MO = OP, then y =

 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®.