Last visit was: 31 Dec 2024, 00:43 It is currently 31 Dec 2024, 00:43
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

If p/q < 1, and p and q are positive integers, which of the

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30558
Own Kudos [?]: 36907 [1]
Given Kudos: 26108
Send PM
If p/q < 1, and p and q are positive integers, which of the [#permalink] New post   27 Jul 2020, 09:06
Expert Reply
1
Bookmarks
00:00

Question Stats:

91% (00:34) correct 8% (02:13) wrong based on 37 sessions

Hide Show timer Statistics

If \(\frac{p}{q} < 1\), and p and q are positive integers, which of the following must be greater than 1 ?


(A) \(\sqrt{\frac{p}{q}}\)

(B) \(\frac{p}{q^2}\)

(C) \(\frac{p}{2q}\)

(D) \(\frac{q}{p^2}\)

(E) \(\frac{q}{p}\)
ShowHide Answer
Official Answer
E
User avatar
B
kapil1
Manager
Manager
Joined: 09 Nov 2018
Posts: 88
Own Kudos [?]: 95 [0]
Given Kudos: 0
Send PM
Re: If p/q < 1, and p and q are positive integers, which of the [#permalink] New post   27 Jul 2020, 10:06
Quote:
If p/q<1, and p and q are positive integers, which of the following must be greater than 1 ?

Step 1: Understanding the question

As p and q are positive, and \(\frac{p}{q }\)< 1, therefore, p < q

Step 2: Calculation
p < q

1 < \(\frac{q}{ p}\)

hence \(\frac{q}{p}\) is always greater than 1

E is correct
avatar
sj24
Intern
Intern
Joined: 10 Aug 2019
Posts: 19
Own Kudos [?]: 10 [0]
Given Kudos: 0
Send PM
Re: If p/q < 1, and p and q are positive integers, which of the [#permalink] New post   27 Jul 2020, 10:57
p and q are positive integers and p/q<1,

Since this is a MUST question and not the SHOULD question, I think we can assume the values. Say p=1 and q=2.

For these values, only option that makes the value >1 is E.

So, the answer should be E.
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12239 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: If p/q < 1, and p and q are positive integers, which of the [#permalink] New post   27 Jul 2020, 12:26
1
Carcass wrote:
If \(\frac{p}{q} < 1\), and p and q are positive integers, which of the following must be greater than 1 ?


(A) \(\sqrt{\frac{p}{q}}\)

(B) \(\frac{p}{q^2}\)

(C) \(\frac{p}{2q}\)

(D) \(\frac{q}{p^2}\)

(E) \(\frac{q}{p}\)


IMPORTANT: For questions like this, where you need to test each answer choice, the test-makers will often make D or E the correct answer (because they want to eat up your valuable time :-)). So, in these situations, always begin with E and work your way up.

E. Is q/p > 1?
Well, we're told that p/q < 1.
Since q is a positive integer, we can multiply both sides by q to get: p < q
Since p is a positive integer, we can now divide both sides by p to get: 1 < q/p
So, answer choice E must be true.

Answer: E
User avatar
Farina
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 356 [0]
Given Kudos: 299
Send PM
Re: If p/q < 1, and p and q are positive integers, which of the [#permalink] New post   10 Aug 2020, 03:48
I considered smart numbers
p = 2 and q = 3 since we want p/q < 1 so 2/3 is less than 1
now put values in options, only option E hold true
Prep Club for GRE Bot
gmatclubot
Re: If p/q < 1, and p and q are positive integers, which of the [#permalink]
10 Aug 2020, 03:48
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1124 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