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In the figure above, the length of segment xz is 24. What is the circu

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In the figure above, the length of segment xz is 24. What is the circu  [#permalink]

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New post Updated on: 02 Sep 2018, 02:32
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In the figure above, the length of segment xz is 24. What is the circumference of the circle with diameter wy?

(1) The length of segment wx is 40.

(2) The length of segment xy is 30.


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Originally posted by Mani2879 on 01 Sep 2018, 12:36.
Last edited by Bunuel on 02 Sep 2018, 02:32, edited 2 times in total.
Renamed the topic and edited the question.
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Re: In the figure above, the length of segment xz is 24. What is the circu  [#permalink]

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New post 01 Sep 2018, 12:54
Mani2879 wrote:
Hi,
I Could not understand the official explanation !

Could someone explain this to me ?

Thank you!
This is grometry DS. You don't need to solve the question. Try to visualize if the figure can be restricted by the given information.

Both the statements individually don't restrict the figure in only one possible orientation. So they are insufficient on their own. Combining - - - > they are sufficient

For reference:
https://youtu.be/wetqSGMdY7Y

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Re: In the figure above, the length of segment xz is 24. What is the circu  [#permalink]

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New post 01 Sep 2018, 16:09
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Hi there!

The technique presented in the solution (image attached) takes into account the Pythagoras theorem and a nice way of calculating the area of a right triangle using "two different formulas" simultaneously!

Please note that in Data Sufficiency problems, to do calculations "till the end" is not (in general) the best approach!

The UNIQUENESS of solutions must be your real FOCUS, according to our method!

This solution follows the notations and rationale taught in the GMATH method.

Regards,
fskilnik.
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Re: In the figure above, the length of segment xz is 24. What is the circu  [#permalink]

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New post 01 Sep 2018, 21:32
Hi
Thanks a lot for the superb explanation !!

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In the figure above, the length of segment xz is 24. What is the circu  [#permalink]

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New post 02 Sep 2018, 07:28
Mani2879 wrote:
Hi
Thanks a lot for the superb explanation !!


Hi, Mani!

Thank you for the "kudos" and for your kind words.

See you in other posts!

Regards,
fskilnik.
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Fabio Skilnik :: http://www.GMATH.net (Math for the GMAT)
Course release PROMO : finish our test drive till 30/Sep with (at least) 60 correct answers out of 92 (12-questions Mock included) to gain a 70% discount!

In the figure above, the length of segment xz is 24. What is the circu &nbs [#permalink] 02 Sep 2018, 07:28
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