PS-GMAT prep : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 17:16

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# PS-GMAT prep

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 09 Jan 2006
Posts: 14
Location: USA
Followers: 0

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

### Show Tags

23 Feb 2006, 15:25
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi
This is a tricky one...

1.Alices take home pay last year was the same each month, and she saved the same fraction of her take home pay each month.The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save.If all the money that she saved last year was from her take home pay, what fraction of her take home pay did she save each month?

a.1/2
b.1/3
c.1/4
d.1/5
e.1/6

Is there a shortcut to doing this one? I figured a slightly longish way

2.What is the greatest prime factor of 4^17-4^28

a.2
b.3
c.5
d.7
e.11

Thanks
Manager
Joined: 14 Jun 2005
Posts: 100
Followers: 1

Kudos [?]: 10 [0], given: 0

### Show Tags

24 Feb 2006, 11:45
1. I got 1/5
2. Joe, how did you get 7? Can you please explain?
Manager
Joined: 20 Feb 2006
Posts: 213
Followers: 1

Kudos [?]: 8 [0], given: 0

### Show Tags

24 Feb 2006, 17:29
I got it all wrong.
1. 3/4 (its not in the answer choices)
2. 2047 (I dont believe it has any factors. Am I missing something? I could not factor it any less. And no answer choice divides this figure)
Any help is greatly appreciated.
Director
Joined: 17 Oct 2005
Posts: 932
Followers: 1

Kudos [?]: 203 [0], given: 0

Re: PS-GMAT prep [#permalink]

### Show Tags

25 Feb 2006, 00:02
girl17 wrote:
Hi
This is a tricky one...

1.Alices take home pay last year was the same each month, and she saved the same fraction of her take home pay each month.The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save.If all the money that she saved last year was from her take home pay, what fraction of her take home pay did she save each month?

a.1/2
b.1/3
c.1/4
d.1/5
e.1/6

Is there a shortcut to doing this one? I figured a slightly longish way

2.What is the greatest prime factor of 4^17-4^28

a.2
b.3
c.5
d.7
e.11

Thanks

1) i misread the q's
x=pay each month
y=save each month
x-y=amount she didnt save

12y=3(x-y)

y=1/5x

2) i simplified it to 2^34 *(-1)(2^22-1)=4194304-1=4194303

I think it is 3.
Manager
Joined: 28 Dec 2005
Posts: 117
Followers: 1

Kudos [?]: 2 [0], given: 0

### Show Tags

26 Feb 2006, 17:05
The question is incorrectly stated, the correct question is "What is the greatest prime factor of 4^17-2^28"
A. 2
B. 2
C. 5
D. 7
E. 11
Manager
Joined: 04 Sep 2005
Posts: 142
Location: Fringes of the Boreal, Canada
Followers: 1

Kudos [?]: 17 [0], given: 0

### Show Tags

01 Mar 2006, 07:01
x = amount not saved
y = amount saved per month
P= total monthly pay

3x = 12y
x = 4y
x/4 = y

P = x+y
P = 4x/4 + x/4
P = 5x/4

therefore, the portion of her take home pay that she saved each month is:

y/P = (1/4)/(5/4) = 0.25/1.25 = 1/5
_________________

"To hell with circumstances; I create opportunities." - Bruce Lee

SVP
Joined: 14 Dec 2004
Posts: 1702
Followers: 3

Kudos [?]: 137 [0], given: 0

### Show Tags

01 Mar 2006, 10:07
1) Ans: 1/5

2) 4^17-4^28
=> 2^34 (1-2^22)
=> -2^34 (2^10 * 2^10 * 2^2 - 1)
need to do (1024 * 1024 * 4 - 1)

hence, must be experimental question

Me too think, the question is stated in wrong way

If I take,
4^17-2^28
=> 2^34 - 2^28
=> 2^28 (2^6 - 1)
=> 2^28 (63)
=> 2^28 (3*3*7)

Ans: 7

What's the OA girl17?
Intern
Joined: 09 Jan 2006
Posts: 14
Location: USA
Followers: 0

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

### Show Tags

09 Mar 2006, 12:07
Hi
sorry for replying so late the OA for 1 is D

and OA for 2 is also D i.e 7

thanks....
Intern
Joined: 06 Mar 2006
Posts: 37
Followers: 0

Kudos [?]: 1 [0], given: 0

### Show Tags

09 Mar 2006, 20:19
can someone correct me pls? thanks

let x be the take home pay of Alice

and 1/y be the fraction that she saves

which means she has saved 12 * x/y for the year

and her actual take home pay was x-x/y i.e., 12 * (x-x/y) for the year

3*(12 * x/y) = 12 *(x-x/y)

=> 36x/y = (12xy-12x)/y
=> 36x = 12xy-12x
=> 48x = 12xy
=> 1/y = 1/4
Senior Manager
Joined: 11 Nov 2005
Posts: 328
Location: London
Followers: 1

Kudos [?]: 11 [0], given: 0

### Show Tags

10 Mar 2006, 10:09
D. 1/5

Lets say the monthly income is 100, save 20 (that is 1/5)

at the end of the year total saved is 20*12 =240

Monthly NOT saved is 80, which is 3 times the annual saving.
10 Mar 2006, 10:09
Display posts from previous: Sort by

# PS-GMAT prep

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.