Last visit was: 21 Nov 2024, 19:40 It is currently 21 Nov 2024, 19:40
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

A 7 meter long wire is cut into two pieces at an arbitrary point. The

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [7]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   11 Aug 2021, 08:35
1
6
Bookmarks
00:00

Question Stats:

47% (02:09) correct 52% (01:48) wrong based on 38 sessions

Hide Show timer Statistics

A 7 meter long wire is cut into two pieces at an arbitrary point. The longer piece is then used to form a square.

Quantity A
Quantity B
Probability that the area of the square will be more than 1 \(m^2\)
\(\frac{4}{5}\)


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
ShowHide Answer
Official Answer
A
Most Helpful Community Reply
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   12 Aug 2021, 05:04
1
Explanation:

Note: Longer piece has to be greater than 3.5m

Let the increment in the pieces be 0.5m

So, total outcomes could be 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0 i.e. 7 outcomes

Now, if the area has to be greater than 1\(m^2\), each side should be greater than 1. Therefore, perimeter of the square has to be greater than 4.

So, favorable outcomes could be 4.5, 5.0, 5.5, 6.0, 6.5, 7.0 i.e. 6 outcomes

Required probability = \(\frac{6}{7}\)

Col. A: 0.85
Col. B: 0.80

Hence, option A
General Discussion
avatar
S
void
Senior Manager
Senior Manager
Joined: 03 Dec 2020
Posts: 440
Own Kudos [?]: 61 [0]
Given Kudos: 68
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   11 Aug 2021, 10:11
is it d.
avatar
B
venkyappu19981999
Intern
Intern
Joined: 14 Jun 2021
Posts: 5
Own Kudos [?]: 3 [1]
Given Kudos: 1
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   11 Aug 2021, 21:27
1
Longer piece is always greater than 3.5 . So obviously area will be greater than 3.5^2
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 170 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   11 Aug 2021, 22:00
I am little bit confused here. It does not mention that length must be integer. then, If the piece of length 6 and 1 possible. If not, only possible value for length is 4 and 3.
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   11 Aug 2021, 22:01
venkyappu19981999 wrote:
Longer piece is always greater than 3.5 . So obviously area will be greater than 3.5^2


And the probability will thus be greater than 0.80???
avatar
S
void
Senior Manager
Senior Manager
Joined: 03 Dec 2020
Posts: 440
Own Kudos [?]: 61 [0]
Given Kudos: 68
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   11 Aug 2021, 23:34
COolguy101 wrote:
I am little bit confused here. It does not mention that length must be integer. then, If the piece of length 6 and 1 possible. If not, only possible value for length is 4 and 3.

due same reason I choosed D.
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   12 Aug 2021, 04:28
venkyappu19981999 wrote:
Longer piece is always greater than 3.5 . So obviously area will be greater than 3.5^2


Sir, the longer piece will not be the side of square
Hint: The perimeter has to be greater than 4 sq. units
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 170 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   13 Aug 2021, 18:39
KarunMendiratta wrote:
Explanation:

Note: Longer piece has to be greater than 3.5m

Let the increment in the pieces be 0.5m

So, total outcomes could be 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0 i.e. 7 outcomes

Now, if the area has to be greater than 1\(m^2\), each side should be greater than 1. Therefore, perimeter of the square has to be greater than 4.

So, favorable outcomes could be 4.5, 5.0, 5.5, 6.0, 6.5, 7.0 i.e. 6 outcomes

Required probability = \(\frac{6}{7}\)

Sir, I did not understand, Is there any easy way to deal with?

Col. A: 0.85
Col. B: 0.80

Hence, option A
avatar
B
test01
Manager
Manager
Joined: 23 Sep 2023
Posts: 65
Own Kudos [?]: 13 [0]
Given Kudos: 59
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   17 Oct 2023, 08:11
KarunMendiratta wrote:
Explanation:

Note: Longer piece has to be greater than 3.5m

Let the increment in the pieces be 0.5m

So, total outcomes could be 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0 i.e. 7 outcomes

Now, if the area has to be greater than 1\(m^2\), each side should be greater than 1. Therefore, perimeter of the square has to be greater than 4.

So, favorable outcomes could be 4.5, 5.0, 5.5, 6.0, 6.5, 7.0 i.e. 6 outcomes

Required probability = \(\frac{6}{7}\)

Col. A: 0.85
Col. B: 0.80

Hence, option A


How do you know that it should be greater that 3.5 and that increments need to be in 0.5 ???? PLEASE HELP. I AM VERY SCARED NOW
Carcass
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36341 [0]
Given Kudos: 25927
Send PM
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink] New post   17 Oct 2023, 10:49
Expert Reply
Hint: The perimeter has to be greater than 4 sq. units

Thatìs why he says that should be more than 3.5

However,. I agree also with someone above about that the length could be also NOT an integer.

As for the increment of 0.5 is just a way to see what is going on with the question.

trial and error
Prep Club for GRE Bot
gmatclubot
Re: A 7 meter long wire is cut into two pieces at an arbitrary point. The [#permalink]
17 Oct 2023, 10:49
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