It is currently 26 Apr 2019, 07:38
My Tests

Close

GMAT 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 GMAT 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.

Given a positive integer p, how many integers are greater th

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 6247
Followers: 101

Kudos [?]: 1207 [0], given: 5759

CAT Tests
Given a positive integer p, how many integers are greater th [#permalink] New post 09 Apr 2019, 02:09
Expert's post
00:00

Question Stats:

40% (00:01) correct 60% (02:13) wrong based on 5 sessions
Given a positive integer p, how many integers are greater than \(2p\) and less than \(4p − 1\)?

A. \(\frac{p}{2}\)

B. \(p\)

C. \(p+1\)

D. \(2p-2\)

E. \(3p-3\)
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1680
Followers: 57

Kudos [?]: 1595 [1] , given: 8

CAT Tests
Re: Given a positive integer p, how many integers are greater th [#permalink] New post 10 Apr 2019, 12:22
1
This post received
KUDOS
Expert's post
Carcass wrote:
Given a positive integer p, how many integers are greater than \(2p\) and less than \(4p − 1\)?

A. \(\frac{p}{2}\)

B. \(p\)

C. \(p+1\)

D. \(2p-2\)

E. \(3p-3\)


On option is to apply the input-output approach

Let's see what happens when p = 4

The question becomes:
How many integers are greater than 2(4) and less than 4(4) − 1?
In other words, How many integers are greater than 8 and less than 15?
The integers are 9, 10, 11, 12, 13 and 14 (6 integers)
So, when p = 4, the answer to the question is 6

Now we'll check each answer choice to see which one yields an OUTPUT of 6 when we INPUT p = 4

A. p/2 = 4/2 = 2. No good. We want an output of 6

B. p = 4 = 4. No good. We want an output of 6

C. p+1 = 4 + 1 = 5. No good. We want an output of 6

D. 2p-2 = 2(4) - 2 = 6. PERFECT!

E. 3p-3 = 3(4) - 3 = 9. No good. We want an output of 6

Answer: D

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

1 KUDOS received
Manager
Manager
Joined: 22 Feb 2018
Posts: 161
Followers: 2

Kudos [?]: 107 [1] , given: 22

Re: Given a positive integer p, how many integers are greater th [#permalink] New post 11 Apr 2019, 14:13
1
This post received
KUDOS
answer: D

2p < {x} < 4p-1

{x} is the sequence of numbers between 2p and 4p-1.
For instance:
if p =1 then 2 < {} < 3, So no integer is between 2 and 3.
if p =2 then 4 < {5,6} < 7, So 2 numbers are between 4 and 7.

We can both try the options or use the formula for gap between two numbers:
The total numbers between 2p and 4p-1 are : 4p-1 - 2p -1 = 2p-2
_________________

Follow your heart

Re: Given a positive integer p, how many integers are greater th   [#permalink] 11 Apr 2019, 14:13
Display posts from previous: Sort by

Given a positive integer p, how many integers are greater th

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.