NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 17:17 It is currently 25 Apr 2024, 17:17
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

One-fifth of the students at a nursery school are 4 years old or older

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619030 [12]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
One-fifth of the students at a nursery school are 4 years old or older [#permalink] New post   17 Aug 2018, 12:07
12
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (02:03) correct 33% (02:17) wrong based on 190 sessions
Hide Show timer Statistics
One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school?

A) 120

B) 96

C) 70

D) 60

E) 24
ShowHide Answer
Official Answer
A
User avatar
L
globaldesi
VP
VP
Joined: 28 Jul 2016
Posts: 1212
Own Kudos [?]: 1728 [1]
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Investment Banking)
Send PM
Reviews Badge
Re: One-fifth of the students at a nursery school are 4 years old or older [#permalink] New post   17 Aug 2018, 12:18
1
Kudos
Total number of students =x;
students >= 4 = x/5;
students less than 3 =16;
hence x/5 + 16 =40;
thus x = 120.
Sol : A
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6275 [1]
Given Kudos: 1646
Send PM
Re: One-fifth of the students at a nursery school are 4 years old or older [#permalink] New post   20 Aug 2018, 11:18
1
Kudos
Expert Reply
Bunuel wrote:
One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school?

A) 120

B) 96

C) 70

D) 60

E) 24


Let’s let x = the total number of students at the school. We know that 1/5 of the total number of students, or 0.2x, are 4 years old or older. Additionally, we are given that 16 students are less than age 3. The key piece of information is that a total of 40 students are NOT between ages 3 and 4, which means that:

0.2x + 16 = 40

2x + 160 = 400

2x = 240

x = 120

Answer: A
User avatar
S
abhishekmayank
Manager
Manager
Joined: 26 Apr 2016
Posts: 209
Own Kudos [?]: 48 [0]
Given Kudos: 6
GMAT 1: 640 Q44 V33
Send PM
Re: One-fifth of the students at a nursery school are 4 years old or older [#permalink] New post   04 Mar 2023, 04:50
There is some iota of confusion here :

40 students are not between 3 years old and 4 years old

That implies that 40 students are distributed as follow :

S1 <= 3 years old
S2 >= 4 Years old

In the premise we have the info :

No. of students less than 3 years = 16

How can we say S1 = 16. What about the students who are exactly 3 years old.
User avatar
B
ekanshgoyal
Intern
Intern
Joined: 09 Jan 2022
Posts: 38
Own Kudos [?]: 1 [0]
Given Kudos: 21
Location: India
Send PM
Re: One-fifth of the students at a nursery school are 4 years old or older [#permalink] New post   25 Mar 2023, 21:04
abhishekmayank wrote:
There is some iota of confusion here :

40 students are not between 3 years old and 4 years old

That implies that 40 students are distributed as follow :

S1 <= 3 years old
S2 >= 4 Years old

In the premise we have the info :

No. of students less than 3 years = 16

How can we say S1 = 16. What about the students who are exactly 3 years old.


I have same doubt. What about 3 years old students? If we will consider them seprately there will be one more unknown and then making cases there can be two answers for total students 70 or 60.
GMAT Club Bot
gmatclubot
Re: One-fifth of the students at a nursery school are 4 years old or older [#permalink]
25 Mar 2023, 21:04
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions