Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 06:50

### 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

# Can the positive integer p be expressed as the product of

Author Message
Intern
Joined: 06 Jun 2007
Posts: 40
Followers: 0

Kudos [?]: 55 [0], given: 0

Can the positive integer p be expressed as the product of [#permalink]

### Show Tags

14 Nov 2007, 05:05
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.

Can the positive integer p be expressed as the product of two integers,each of which is greater than I?

(1) 3I<p<37
(2) p is odd

Plz explain..

Cheers,
Circkit
Senior Manager
Joined: 06 Mar 2006
Posts: 492
Followers: 8

Kudos [?]: 201 [0], given: 1

### Show Tags

14 Nov 2007, 10:10
Statement 2 by itself is insufficient. You don't know what I is. The answer could be Yes or No.

Statement 1 by itself is also insufficient. If I is 1 and P is a prime number; the P cannot be expressed as the product of two integers greater than I.
If P is even number or other non prime odd number, then P might be able to be expressed as the product of two integers greater than I.

Together, still insufficient.

Therefore, I think the answer is E.
Intern
Joined: 18 Jun 2007
Posts: 7
Followers: 0

Kudos [?]: 3 [0], given: 0

### Show Tags

14 Nov 2007, 13:45
circkit wrote:
Can the positive integer p be expressed as the product of two integers,each of which is greater than I?

(1) 3I<p<37
(2) p is odd

Plz explain..

Cheers,
Circkit

It is either A or E.

I rephrase it to: Is integer p NOT prime?

(1) 31<p<37

p: 32, 33, 34, 35, 36

32 = 16 * 2
33 = 11 * 3
34 = 17 * 2
35 = 7 * 5
36 = 12 * 3

Although we don't know which of those numbers is p, but p can be any of those numbers and still satisfy the question as NONE OF THEM ARE PRIME. I am not sure if my reasoning is valid to make it SUFF on the GMAT.

(2) p is odd

p can be 3, 9, 11, 27

3=3 * 1 .......... NO
9=3 * 3 ...........YES
11=11 * 1 ........NO
27=9*3 ...........YES

Sometime NO, sometime YES, we don't know for sure, so INSUFF

----

If A is not the answer then it is E.
Director
Joined: 13 Dec 2006
Posts: 512
Location: Indonesia
Followers: 6

Kudos [?]: 223 [0], given: 0

### Show Tags

14 Nov 2007, 17:23
I will go with A

Question says that can the positive integer p be expressed and not will the positive integer p be expressed. It means we have to search for the solution, where our requirement should be one of the possible solution.

Case 1 - P lies between 3I and 37, in this case we dont know the value of I, which can be eithe positive or negative. The maximum value of I can be 11, making 3I = 33. In this case P can be 34, 35, or 36. In such situation two integers, whose product will give the value of P, will not be greater than I.

But if I is a negative integer, Z, or positive integer lesser than 4, its possible that the 2 integers, whose product = p, are greater than I.

Case 2 - Insufficient, as I is not defined.

Amar
14 Nov 2007, 17:23
Display posts from previous: Sort by