Last visit was: 19 Jan 2025, 00:24 It is currently 19 Jan 2025, 00:24
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

Set I consists of the integers from 11 through 100, inclusiv

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30710
Own Kudos [?]: 37099 [0]
Given Kudos: 26145
Send PM
Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   05 Dec 2017, 12:42
Expert Reply
00:00

Question Stats:

80% (01:14) correct 20% (01:02) wrong based on 35 sessions

Hide Show timer Statistics

Set I consists of the integers from 11 through 100, inclusive.

Quantity A
Quantity B
4 times the number of integers in set T that are multiples of 4
5times the number of integers in set T that are multiples of 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
avatar
wongpcla
Manager
Manager
Joined: 03 Dec 2017
Posts: 64
Own Kudos [?]: 23 [0]
Given Kudos: 0
Send PM
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   06 Dec 2017, 23:52
1
how do I check how many muｌtiple of 4 between 11-100?
Can anyone give me the formula, thank you
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2290 [2]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   07 Dec 2017, 02:23
2
wongpcla wrote:
how do I check how many muｌtiple of 4 between 11-100?
Can anyone give me the formula, thank you



Definitely it has a formula-

Multiple of x in the range = \(\frac{(last multiple of "x" in the range - first multiple of "x" in the range)}{x}\) +1


Now in the first case we need the multple of 4 in the range from 11 to 100, so applying the formula

Multiple of 4 = \(\frac{(96-12)}{4}+ 1\) (Last multiple of 4 in the range from 11 to 100 is 96 and the first multiple in the range is 12)

i.e equal to 22 nos.

In second case

Multiple of 5 = \(\frac{(100-15)}{5}+ 1\)

i.e equals to 17 nos.

Hence A > B
avatar
HsienYi
Intern
Intern
Joined: 13 Oct 2017
Posts: 3
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   22 Jan 2018, 06:34
why Last multiple of 4 in the range from 11 to 100 is not 100 but 96


pranab01 wrote:
wongpcla wrote:
how do I check how many muｌtiple of 4 between 11-100?
Can anyone give me the formula, thank you



Definitely it has a formula-

Multiple of x in the range = \(\frac{(last multiple of "x" in the range - first multiple of "x" in the range)}{x}\) +1


Now in the first case we need the multple of 4 in the range from 11 to 100, so applying the formula

Multiple of 4 = \(\frac{(96-12)}{4}+ 1\) (Last multiple of 4 in the range from 11 to 100 is 96 and the first multiple in the range is 12)

i.e equal to 22 nos.

In second case

Multiple of 5 = \(\frac{(100-15)}{5}+ 1\)

i.e equals to 17 nos.

Hence A > B
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2290 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   22 Jan 2018, 07:27
1
HsienYi wrote:
why Last multiple of 4 in the range from 11 to 100 is not 100 but 96




Yes you are right it is 100 and not 96.

So after calculation
A= 23 and B=17

Hence A>B
User avatar
B
amorphous
Retired Moderator
Joined: 07 Jan 2018
Posts: 739
Own Kudos [?]: 1464 [0]
Given Kudos: 93
Send PM

Top Member of the Month
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   22 Jan 2018, 21:28
HsienYi wrote:
why Last multiple of 4 in the range from 11 to 100 is not 100 but 96


pranab01 wrote:
wongpcla wrote:
how do I check how many muｌtiple of 4 between 11-100?
Can anyone give me the formula, thank you



Definitely it has a formula-

Multiple of x in the range = \(\frac{(last multiple of "x" in the range - first multiple of "x" in the range)}{x}\) +1


Now in the first case we need the multple of 4 in the range from 11 to 100, so applying the formula

Multiple of 4 = \(\frac{(96-12)}{4}+ 1\) (Last multiple of 4 in the range from 11 to 100 is 96 and the first multiple in the range is 12)

i.e equal to 22 nos.

In second case

Multiple of 5 = \(\frac{(100-15)}{5}+ 1\)

i.e equals to 17 nos.

Hence A > B


I guess multiples of 5 should 18 instead of 17 (100-15)/5 = 85/5 = 17 + 1 = 18
avatar
sharmaapeksha960
Manager
Manager
Joined: 02 Jan 2018
Posts: 66
Own Kudos [?]: 39 [0]
Given Kudos: 0
Send PM
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   23 Jan 2018, 09:21
T{ 12,16,......100}
100=12+(n-1)4
n=23

T{15,20,25....100}
100=15+(n-1)5
n=18

Therefore A is greater
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5099
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post   04 Mar 2023, 07:28
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: Set I consists of the integers from 11 through 100, inclusiv [#permalink]
04 Mar 2023, 07:28
Moderators:
adewale223
GRE Instructor
89 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1131 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