It is currently 23 Feb 2018, 04:41

### 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

# If P is a positive integer, P= ?

Author Message
TAGS:

### Hide Tags

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2082
Location: India
GPA: 3.12
If P is a positive integer, P= ? [#permalink]

### Show Tags

14 Sep 2017, 20:06
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:09) correct 29% (01:39) wrong based on 65 sessions

### HideShow timer Statistics

If P is a positive integer, P= ?

1. When a positive number N is divided by P, the remainder is 12.
2. $$\frac{N}{P} = 29.15$$

Source : Experts Global
[Reveal] Spoiler: OA

_________________

Stay hungry, Stay foolish

Manager
Joined: 14 Oct 2015
Posts: 238
GPA: 3.57
If P is a positive integer, P= ? [#permalink]

### Show Tags

15 Sep 2017, 00:36
1
KUDOS
pushpitkc wrote:
If P is a positive integer, P= ?

1. When a positive number N is divided by P, the remainder is 12.
2. $$\frac{N}{P} = 29.15$$

Source : Experts Global

It should be C

1- Clearly insufficient. There are infinite values of N/P that can result in a remainder of 12.
2- Clearly insufficient. Multiple pairs of N/P that can divide to 29.15 for example 2915/100 or 29150/1000.

Combined 1+2 - This appears to be sufficient. Remainder 12 is the 0.15 part of 29.15. We can equate the divisor.

$$0.15x = 12$$ --> $$x = \frac{12}{0.15} = 80$$

$$N = 80*29 + 12$$
$$N = 2332$$

$$N/P = 2332/80$$
_________________

Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: If P is a positive integer, P= ? [#permalink]

### Show Tags

21 Sep 2017, 13:53
pushpitkc wrote:
If P is a positive integer, P= ?

1. When a positive number N is divided by P, the remainder is 12.
2. $$\frac{N}{P} = 29.15$$

Source : Experts Global

Statement One Alone:

When a positive number N is divided by P, the remainder is 12.

We can create the following equation:

N/P = Q + 12/P (where Q is a positive integer)

We see that we cannot determine P. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

N/P = 29.15

We can expand the statement to read:

N/P = 29 + 15/100 (where P = 100)

N/P = 29 + 3/20 (where P = 20)

Since we have two values for P, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using statements one and two, we see that :

N/P = 29 + 3/20

and

N/P = Q + 12/P

Thus:

3/20 = 12/P

3P = 20 x 12

P = 20 x 4 = 80

(Note: We could have used 12/100 instead of 3/20 to set up the proportion; the result for P would be the same.)

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If P is a positive integer, P= ?   [#permalink] 21 Sep 2017, 13:53
Display posts from previous: Sort by