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# O is the center of the circle.

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O is the center of the circle. [#permalink]  02 Dec 2018, 10:07
Expert's post
00:00

Question Stats:

59% (00:40) correct 40% (00:23) wrong based on 22 sessions
O is the center of the circle.

Attachment:

GRE exam - O is the center of the circle. .jpg [ 10.64 KiB | Viewed 1474 times ]

 Quantity A Quantity B Lenght of AO Length of AB

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
[Reveal] Spoiler: OA

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Re: O is the center of the circle. [#permalink]  02 Dec 2018, 20:30
In such question, we might take a look at the picture and see AB is bigger than OA and OB. ‌ Thus B is considered to be bigger.
The best way here is drawing a new circle which in that Angle AOB is too small then we will see that OA is bigger than AB and A is the answer. Also Ab can be equal to OA if all of the angles in the rectangle are 60 degrees, then C will be the answer.
So all of the options might be true and we can’t construe based on this shape without enough information.
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Re: O is the center of the circle. [#permalink]  03 Dec 2018, 01:50
Expert's post
Carcass wrote:
O is the center of the circle.

Attachment:
The attachment GRE exam - O is the center of the circle. .jpg is no longer available

 Quantity A Quantity B Lenght of AO Length of AB

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given

Refer the attached figure..
We do not know the position of B..
(I) let B be at 90 degree with AO, then AB is the hypotenuse of right angled triangle AOB and will be > AO, as Ao is a leg and AB is the hypotenuse
(II) let B' be at 10 degree and radius is as shown, clearly AO>AB..
so insufficient

D
Attachments

GRE exam - O is the center of the circle. .jpg [ 9.4 KiB | Viewed 1429 times ]

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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: O is the center of the circle.   [#permalink] 03 Dec 2018, 01:50
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