GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 24 Aug 2019, 00:01

### 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

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

# One day at PQR high school, (1/12)th of the students were absent, and

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 57281
One day at PQR high school, (1/12)th of the students were absent, and  [#permalink]

### Show Tags

22 Jul 2019, 01:00
00:00

Difficulty:

25% (medium)

Question Stats:

88% (02:48) correct 12% (03:05) wrong based on 25 sessions

### HideShow timer Statistics

One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080

_________________
Director
Joined: 06 Jan 2015
Posts: 696
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
One day at PQR high school, (1/12)th of the students were absent, and  [#permalink]

### Show Tags

Updated on: 22 Jul 2019, 01:29
Bunuel wrote:
One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080

Let n be number of students.

(1/12)th of the students were absent = $$n/12$$

Remaining Students = $$11n/12$$

(1/5) of those present went on a field trip = $$(11n/12)*1/5$$ = $$11n/60$$

the number of students staying in the school that day was 704

Total = $$n/12+11n/60+704=n$$ ==> $$4n/15+704=n$$

n=960

Hence D

Edited Calculation error, Thx Kinshook
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Originally posted by NandishSS on 22 Jul 2019, 01:13.
Last edited by NandishSS on 22 Jul 2019, 01:29, edited 1 time in total.
VP
Joined: 03 Jun 2019
Posts: 1056
Location: India
Re: One day at PQR high school, (1/12)th of the students were absent, and  [#permalink]

### Show Tags

22 Jul 2019, 01:17
Bunuel wrote:
One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080

Given: One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. The number of students staying in the school that day was 704.
Asked: How many students are enrolled at PQR school ?

Let the number of students enrolled at PQR school be x
x/12 students were absent
11x/12 students were present
number of students went on a field trip = 11x/12 * 1/5 = 11x/60
Number of students who were absent or went on a field trip = x/12 + 11x/60 = 16x/60 = 4x/15
Number of students staying in the school = x - 4x/15 = 11x/15 = 704
x = 960

IMO D
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
VP
Joined: 03 Jun 2019
Posts: 1056
Location: India
Re: One day at PQR high school, (1/12)th of the students were absent, and  [#permalink]

### Show Tags

22 Jul 2019, 01:19
NandishSS wrote:
Bunuel wrote:
One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080

Let n be number of students.

(1/12)th of the students were absent = $$n/12$$

Remaining Students = $$11n/12$$

(1/5) of those present went on a field trip = $$(11n/12)*1/5$$ = $$11n/60$$

the number of students staying in the school that day was 704

Total = $$n/12+11n/60+704=n$$ ==> $$12n/60+704=n$$

n=880

Hence A

Highlighted portion should be 16x/60 = 4x/15
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Re: One day at PQR high school, (1/12)th of the students were absent, and   [#permalink] 22 Jul 2019, 01:19
Display posts from previous: Sort by