Last visit was: 25 Nov 2024, 03:05 It is currently 25 Nov 2024, 03:05
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Michael drives x miles due north at arrives at Point A. He

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Bunuel
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 285
Own Kudos [?]: 703 [1]
Given Kudos: 225
Michael drives x miles due north at arrives at Point A. He [#permalink] New post   Updated on: 24 Nov 2018, 07:17
1
Bookmarks
00:00

Question Stats:

29% (01:04) correct 70% (01:09) wrong based on 47 sessions

Hide Show timer Statistics

Michael drives x miles due north and arrives at Point A. He then heads due east for y miles. Finally, he drives z miles in a straight line till the starting point. If x, y, and z are integers, then how many miles did Michael drive if one of the initial two legs of the journey was 5 miles?

(A) 5 miles

(B) 12 miles

(C) 25 miles

(D) 30 miles

(E) Cannot be determined by the information given.


Kudos for correct solution.
ShowHide Answer
Official Answer
D

Originally posted by Bunuel on 01 Oct 2017, 22:24.
Last edited by chetan2u on 24 Nov 2018, 07:17, edited 1 time in total.
Corrected the Q
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   01 Oct 2017, 23:53
1
Bunuel wrote:
Michael drives x miles due north at arrives at Point A. He then heads due east for y miles. Finally, he drives z miles a straight line towards is starting point. If x, y, and z are integers, then how many miles did Michael drive if one of the legs of the journey was 5 miles?

(A) 5 miles

(B) 12 miles

(C) 25 miles

(D) 30 miles

(E) Cannot be determined by the information given.


Kudos for correct solution.



Since it is given that it travel north first , then east and finally meets the starting point so it constitutes a right angle triangle

since x,y,z are integers and 5 is the shortest distance.

Thus we know the sides of the right angle triangle and shortest side 5 is given by 5:12:13

SO the total distance traveled by him is 5+12+13=30. Option D
avatar
IlCreatore
Director
Director
Joined: 03 Sep 2017
Posts: 518
Own Kudos [?]: 703 [0]
Given Kudos: 0
Send PM
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   02 Oct 2017, 07:14
pranab01 wrote:
Bunuel wrote:
Michael drives x miles due north at arrives at Point A. He then heads due east for y miles. Finally, he drives z miles a straight line towards is starting point. If x, y, and z are integers, then how many miles did Michael drive if one of the legs of the journey was 5 miles?

(A) 5 miles

(B) 12 miles

(C) 25 miles

(D) 30 miles

(E) Cannot be determined by the information given.


Kudos for correct solution.



Since it is given that it travel north first , then east and finally meets the starting point so it constitutes a right angle triangle

since x,y,z are integers and 5 is the shortest distance.

Thus we know the sides of the right angle triangle and shortest side 5 is given by 5:12:13

SO the total distance traveled by him is 5+12+13=30. Option D


How did you reach the 5:12:13 triple? Just remembered it as one of the primitive Pitagorean triple or are there any kind of computation to use?
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   02 Oct 2017, 10:04
3
IlCreatore wrote:

How did you reach the 5:12:13 triple? Just remembered it as one of the primitive Pitagorean triple or are there any kind of computation to use?


Yes they are pythagorean triplets

here are few more -

3 : 4 : 5

5 : 12 : 13

8 : 15 : 17

1 : 1 : √2

1 : √3: 2
avatar
indiragre18
Intern
Intern
Joined: 27 Oct 2018
Posts: 49
Own Kudos [?]: 37 [0]
Given Kudos: 0
Send PM
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   24 Nov 2018, 01:17
The question states one of the legs of the journey was 5 miles.
We haven't been told which one, the shorter one or the longer one.
Shouldn't the answer be E?
avatar
projectoffset
Intern
Intern
Joined: 15 Sep 2018
Posts: 23
Own Kudos [?]: 15 [0]
Given Kudos: 0
Send PM
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   24 Nov 2018, 02:04
indiragre18 wrote:
The question states one of the legs of the journey was 5 miles.
We haven't been told which one, the shorter one or the longer one.
Shouldn't the answer be E?


I agree. This wouldn't be a problem but we also have the answer option of 12, which corresponds to another P. Triple of 3-4-5. We are never told that 5 is the shortest leg of the journey or the longest. If we assume shortest, 5-12-13 works, if we assume longest, 3-4-5 works.

Now, the only possibility I can see here is that "one of the legs of the journey" in the original question directly corresponds to a triangle side that is NOT the hypotenuse, however this wouldn't really make sense as we are never outright told we have a triangle (figuring this out is part of the problem I assume), and classifying the 2 shorter sides as "legs" and the longer hypotenuse as something else also doesn't make sense from a terminology standpoint.
avatar
chetan2u
Supreme Moderator
Joined: 01 Nov 2017
Posts: 371
Own Kudos [?]: 470 [0]
Given Kudos: 0
Send PM
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   24 Nov 2018, 07:15
Expert Reply
projectoffset wrote:
indiragre18 wrote:
The question states one of the legs of the journey was 5 miles.
We haven't been told which one, the shorter one or the longer one.
Shouldn't the answer be E?


I agree. This wouldn't be a problem but we also have the answer option of 12, which corresponds to another P. Triple of 3-4-5. We are never told that 5 is the shortest leg of the journey or the longest. If we assume shortest, 5-12-13 works, if we assume longest, 3-4-5 works.

Now, the only possibility I can see here is that "one of the legs of the journey" in the original question directly corresponds to a triangle side that is NOT the hypotenuse, however this wouldn't really make sense as we are never outright told we have a triangle (figuring this out is part of the problem I assume), and classifying the 2 shorter sides as "legs" and the longer hypotenuse as something else also doesn't make sense from a terminology standpoint.



You are correct in your thinking and even the language is having some typo.
correcting it. Thanks
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5053
Own Kudos [?]: 75 [0]
Given Kudos: 0
Send PM
Re: Michael drives x miles due north at arrives at Point A. He [#permalink] New post   17 Aug 2021, 23:38
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: Michael drives x miles due north at arrives at Point A. He [#permalink]
17 Aug 2021, 23:38
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact