Last visit was: 18 Dec 2024, 06:23 It is currently 18 Dec 2024, 06:23
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

In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5

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 [?]: 3259 [3]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink] New post   29 Aug 2021, 23:13
1
2
Bookmarks
00:00

Question Stats:

50% (01:32) correct 50% (01:16) wrong based on 16 sessions

Hide Show timer Statistics

Attachment:
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5..png
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5..png [ 2.26 KiB | Viewed 2491 times ]

In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5.

Quantity A
Quantity B
Number of possible values for PT
10


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


Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
ShowHide Answer
Official Answer
D
User avatar
G
motion2020
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Own Kudos [?]: 377 [0]
Given Kudos: 64
GRE 1: Q160 V152
Send PM
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink] New post   30 Aug 2021, 17:31
Since possible values are within interval defined as 0<PT<14, answer is D
avatar
B
Sirish123
Intern
Intern
Joined: 30 Aug 2021
Posts: 20
Own Kudos [?]: 6 [1]
Given Kudos: 6
Send PM
Re: In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink] New post   30 Aug 2021, 18:37
1
Can you explain the concept of how is the value of PT between 0 to 14 ?
avatar
B
godxyz
Intern
Intern
Joined: 10 Apr 2021
Posts: 16
Own Kudos [?]: 11 [0]
Given Kudos: 155
Send PM
Re: In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink] New post   30 Aug 2021, 18:43
motion2020 wrote:
Since possible values are within interval defined as 0<PT<14, answer is D
KarunMendiratta wrote:
Attachment:
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5..png

In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5.

Quantity A
Quantity B
Number of possible values for PT
10


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


Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition


motion2020
Hi sir,

Thank you for your solution. Quick question here, if the possible values are between 0 to 14 and since the question doesn't ask for integral values, shouldn't the answer be A (infinitely many values)?

Thanks in advance!
User avatar
P
Ks1859
Retired Moderator
Joined: 09 Jan 2021
Posts: 576
Own Kudos [?]: 846 [2]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Reviews Badge
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink] New post   30 Aug 2021, 19:16
2
Sirish123 wrote:
Can you explain the concept of how is the value of PT between 0 to 14 ?


Hi Sirish123

You can construct 3 triangles PQT, QRT & RST

As we have two sides for triangle RST we start by finding 3rd side (RT) of this triangle

RS = 4, and ST = 5
Let RT be x
Thus, 5-4<x<4+5
1<x<9

Similarly, we can find the third side of QRT
QR=2, RT=Any value between 1-9
Thus, QT= 2-1<y<9+2
QT=1<y<11

Now for triangle PQT,
PQ= 3, QT= 1 to 11
PT= 3-1<PT<11+3=2<PT<14

Thus, PT has values between 2 and 14.

I am a bit confounded as to what the answer is as the question does not state whether the values are integers only, if yes, A=B and if it is any number including decimals A>B as godxyz stated.

KarunMendiratta could you please help here?

Hope this helps!

Regards
S!
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3259 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink] New post   31 Aug 2021, 00:18
1
Ks1859 wrote:
Sirish123 wrote:
Can you explain the concept of how is the value of PT between 0 to 14 ?


Hi Sirish123

You can construct 3 triangles PQT, QRT & RST

As we have two sides for triangle RST we start by finding 3rd side (RT) of this triangle

RS = 4, and ST = 5
Let RT be x
Thus, 5-4<x<4+5
1<x<9

Similarly, we can find the third side of QRT
QR=2, RT=Any value between 1-9
Thus, QT= 2-1<y<9+2
QT=1<y<11

Now for triangle PQT,
PQ= 3, QT= 1 to 11
PT= 3-1<PT<11+3=2<PT<14

Thus, PT has values between 2 and 14.

I am a bit confounded as to what the answer is as the question does not state whether the values are integers only, if yes, A=B and if it is any number including decimals A>B as godxyz stated.

KarunMendiratta could you please help here?

Hope this helps!

Regards
S!


The answer should be D only.
If we are picking the integers, Col. A < Col. B
If we are including all real numbers between 4 and 14, Col. A > Col. B
Prep Club for GRE Bot
gmatclubot
In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5 [#permalink]
31 Aug 2021, 00:18
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 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