GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
O is the circle’s center and ∠POR is a right angle.
[#permalink]
30 Jan 2019, 08:08
30 Jan 2019, 08:08
4
6
Bookmarks
00:00
Question Stats:
56% (01:28) correct
43% (01:01) wrong based on 92 sessions
Hide Show timer Statistics
Attachment:
circle dotted.png [ 3.69 KiB | Viewed 7352 times ]
O is the circle’s center and ∠POR is a right angle.
Quantity A |
Quantity B |
OR |
QR |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
O is the circle’s center and ∠POR is a right angle.
[#permalink]
30 Jan 2019, 09:11
30 Jan 2019, 09:11
1
amorphous wrote:
Attachment:
circle dotted.png
O is the circle’s center and ∠POR is a right angle.
Quantity A |
Quantity B |
OR |
QR |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Useful property: In a triangle, the side OPPOSITE a larger angle is longer than the side OPPOSITE the smaller angle
Opposite angles are equal, so ∠POQ is also 43°
Since we're told ∠POR = 90°, we can conclude that ∠QOR = 47°
Since angles in a triangle add to 180°, we can conclude that ∠OQR = 43°
∠QOR is greater than ∠OQR
So, the side OPPOSITE ∠QOR (QR) must be greater than the side OPPOSITE ∠OQR (OR)
In other words, QR > OR
Answer: B
RELATED VIDEO FROM OUR COURSE
Re: O is the circle’s center and ∠POR is a right angle.
[#permalink]
03 Feb 2019, 20:27
03 Feb 2019, 20:27
The answer is wrong but the concept is correct
Opposite angles are equal so <POQ = 43
<QOR = 90 - 43 = 47
Also <OQR = 180 - (90+47) = 43
Hence, from the scenario opposite side of the greater angle has greatest length
QR > OR
The answer is B
Opposite angles are equal so <POQ = 43
<QOR = 90 - 43 = 47
Also <OQR = 180 - (90+47) = 43
Hence, from the scenario opposite side of the greater angle has greatest length
QR > OR
The answer is B
