If in the figure above OP = PQ, what is the length of PR?

Similar problem I faced earlier and I made the same mistake. I didn't consider right angle symbol while solving the question.
And in another problem only box was mentioned and answer was provided taking shape of box rectangular.
So seeing such problems frequently, I have one question.
Should I always consider symbols and shapes as they are given in question in which nothing specifically mentioned?

Expert please help me not repeat the same mistake.

Hi gvij2017
I am no expert. However, I would suggest to follow the below link and guidelines provided in OG.
https://gmatclub.com/forum/gmat-trick-r ... 01412.html
OFFICIAL GUIDE:

Problem Solving
Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Data Sufficiency:
Figures:
• Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
• Lines shown as straight are straight, and lines that appear jagged are also straight.
• The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.
• All figures lie in a plane unless otherwise indicated.

Statement I:

As OR = RQ & OP = PQ then by Similar Angles triangle -
\(PR/OR = OQ/PQ\)
Hence, \(PR = OQ\)

OQ = \(10\sqrt{2}\)

Statement II:

Again following similar triangle property as in Statement I, \(PR = OQ\)
But here, we can't determine the value of OQ.
Hence, Insufficient.

I agree with your answer but I have a doubt for your explanation for statement 1st.

The triangles are congruent since angle O = Q; OR = RQ and OP = QP

I think bolded part is not given earlier in question. It is inference after we conclude that both triangles are congruent.

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.