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

It is currently 21 Nov 2019, 03:25

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.

Close

Request Expert Reply

Confirm Cancel

Greg assembles units of a certain product at a factory. Each day he is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59225
Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 25 Jun 2018, 06:18
37
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

70% (02:18) correct 30% (02:37) wrong based on 1201 sessions

HideShow timer Statistics

Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64


NEW question from GMAT® Official Guide 2019


(PS02102)

_________________
Most Helpful Expert Reply
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4074
Location: Canada
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 25 Jun 2018, 06:38
8
Top Contributor
3
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64



GIVEN: Total pay for 2 days is $180
In order to MAXIMIZE the number of units assembled on one of the days, we must MINIMIZE the number of units assembled on the other day

We're told that Greg assembled at least 30 units each day.
So, the MINIMUM is 30 units
Let's say that Greg assembled 30 units on DAY 1

Payment for Day 1 = (30)($2) = $60
If Greg is paid $60 for Day 1, then he must have received $120 on Day 2.

If Greg was paid $120 on Day 2, how many units did he assemble?

GIVEN: Greg is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit
So, for the first 40 units, Greg is paid $80 (since 40 x $2 = 80)
$120 - $80 = $40

So, the remaining $40 was paid to Greg for the additional units he assembled at a rate of $2.50/unit
$40/$2.50 = 16 units
So, the TOTAL number of units assembled = 40 + 16 = 56

Answer: C

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
General Discussion
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8201
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 25 Jun 2018, 06:27
4
1
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64


NEW question from GMAT® Official Guide 2019


(PS02102)


To get the max on one day, minimize on the second day..
So let on one day, it be only 30, so payment for these =30*2=60$
Payment on second day =180-60=120..

Subtract for first 40@2per piece=40*2=80
So remaining payment for excess pieces = 120-80=40
Number of pieces@2.5=40/2.5=400/25=16

Total =40+16=56

C
_________________
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3142
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 25 Jun 2018, 07:42
1
3

Solution



Given:
    • Payment per unit = $2 for the first 40 units, $2.50 for each additional unit
    • Greg assembled at least 30 units on each of two days, and was paid $180 in total

To find:
    • The greatest possible number of units that he could have assembled in one of the two days

Approach and Working:
    • As we are trying to maximise the number of units that Greg could have assembled on a given day, we should minimise the number of units assembled on the other day
    • As the minimum units assembled in a day is 30 units, the payment for those 30 units = 30 * $2 = $60
    • Therefore, the payment for the other day = $180 – $60 = $120

Out of the payment of $120, the payment for the first 40 units will be 40 * 2 = $80
    • Hence, the payment for the remaining units = $120 - $80 = $40

As the payment for each of the remaining units is $2.50,
    • The number of remaining units = \(\frac{40}{2.50}\) = 16
    • Therefore, the maximum possible units assembled = 40 + 16 = 56

Hence, the correct answer is option C.

Answer: C
_________________
Intern
Intern
avatar
B
Joined: 03 Mar 2018
Posts: 30
GMAT 1: 620 Q44 V31
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 25 Jun 2018, 09:25
1
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64


NEW question from GMAT® Official Guide 2019


(PS02102)


A minimum of 30 units are assembled in 1 day.

Total earnings = $180 in 2 days.

Day 1: 30 units *2 = $60 (Assumed since we need to find the maximum number of units assembled in a day.)

Day 2: 40 units *2 = $80 Total $140 (Balance $40 (180-140))

For every additional unit, Greg earns $2.5 per unit. That means he earned $40 in the enhanced rate.

Therefore, additional units = 40 / 2.5 = 16 units. (These are assumed to be assembled in Day 2 since we need to find the maximum number of units assembled in a day.)

Therefore, total number of units assembled in Day 2 is 40 + 16 = 56 units. Answer: C
_________________
KUDOS appreciated!
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8453
Location: United States (CA)
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 26 Jun 2018, 17:59
2
1
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64



Since we want to determine the greatest possible number of units he could have assembled in one day, we can assume he assembled only 30 units (the least number of units) in one of the two days. Thus, the number of units he will will have assembled on the other day must be maximum. If he assembled 30 units in one day, he will have earned 2(30) = $60 on that day and $120 on the other day. We can let x = number of units he assembled on the other day, and so we have:

2(40) + 2.5(x - 40) = 120

80 + 2.5x - 100 = 120

2.5x = 140

x = 56

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 26 Jun 2018
Posts: 4
Location: India
Schools: IIMB EPGP"20 (A)
GMAT 1: 660 Q47 V34
GPA: 3.9
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 29 Oct 2018, 03:19
Total earning =$ 180
Minimum earned in two days = 30*2*2 = $60
Remaining = 180-120=60

Day1+Day2 = 60 = 2*10+2.5*x1 +2*10+2.5*x2

Earning on one of the days could be maximum if the other day's earning is minimum hence assuming it was minimum=0

Therefore, 2*10+2.5*x1=60 => x1=16
So total no of hours worked =40+16 = 56
2
Manager
Manager
User avatar
B
Joined: 24 Sep 2018
Posts: 99
Location: India
Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 15 Jul 2019, 00:34
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64

let Day 1: 30 *2 =60 dollar

So remaining money =180-60= 120

Day 2: don't get confuse in "If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 "

That dose not mean that on day2 or day 1 he will do only 30 unit work. its at least means minimum 30 unit. Max anything he can work.

So remain 120 dollar we need to calculate

for 1st 40 unit 2 dollar = 40*2 =80 dollar

Now remaining 120-80 =40 dollar ( Which is extra work)

so 40/2.50 = 16 unit extra work

So either on Day 1 or Day 2 he has work : 40+16= 56 units of work

Now you can ask me why not 60,64 being the answer.

Ok if I will go with 60 or 64:

Lets calculate for 60:

Day 1 = 30 (minimum he has to work) = 30 * 2 =60

Remaining = 180 - 60 = 120

if he has work 60* 2 =120 ( Not possible as for 1st 40 he is getting 2 dollar)

So 40*2 =80

remaining if we will do 20* 2.50 dollar = 50 dollar so total 60+80+50 = 190 ( WRONG)

he has received only 180 dollar , We can't go beyond this. So by looking at your ans choice we can eliminate D,E( Going beyond 180)

In A, B ( it will go less then 180)

So 56 is the correct answer.
_________________
Thanks,
Bijaya

If this post is helpful for you please press the kudos button
Intern
Intern
avatar
Joined: 17 Aug 2019
Posts: 2
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 18 Aug 2019, 21:11
chetan2u wrote:
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64


NEW question from GMAT® Official Guide 2019


(PS02102)


To get the max on one day, minimize on the second day..
So let on one day, it be only 30, so payment for these =30*2=60$
Payment on second day =180-60=120..

Subtract for first 40@2per piece=40*2=80
So remaining payment for excess pieces = 120-80=40
Number of pieces@2.5=40/2.5=400/25=16

Total =40+16=56

C


Hello,

It is mentioned that he is paid $2 per unit for first 40 units. Should we assume that $2 per unit would be the payment for first 30 units as well?

Rishov
SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1853
Location: India
Premium Member Reviews Badge CAT Tests
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

Show Tags

New post 19 Aug 2019, 00:11
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64


NEW question from GMAT® Official Guide 2019


(PS02102)


Given: Greg assembles units of a certain product at a factory.
1. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day.
2. Greg assembled at least 30 units on each of two days
3. He was paid a total of $180.00 for assembling units on the two days.

Asked: What is the greatest possible number of units that he could have assembled on one of the two days?

Greg assembled at least 30 units on each of two days
To maximize number of units on a particular day, we have to minimize number of units on other day.
On day 1, he assembles 30 units.
He was paid for 30 units = $60 on day 1

He was paid $180 - $60 = $120 on day 2
$120 = $2 * 40 + $2.5 x
x = 16
He assembled number of units on day 2 (max) = 40 + 16 = 56

IMO C
_________________
"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
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
GMAT Club Bot
Re: Greg assembles units of a certain product at a factory. Each day he is   [#permalink] 19 Aug 2019, 00:11
Display posts from previous: Sort by

Greg assembles units of a certain product at a factory. Each day he is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne