Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 08 Oct 2015, 08:19

# Happening Now:

Interview Invitations for Harvard R1 Applicants | Join GMAT Club Chat Room to live updates

### 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 and q are prime numbers, where p is no more than q, is

Author Message
TAGS:
Manager
Joined: 10 Feb 2011
Posts: 115
Followers: 1

Kudos [?]: 114 [0], given: 10

If p and q are prime numbers, where p is no more than q, is [#permalink]  10 Feb 2011, 15:05
1
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

63% (02:08) correct 37% (00:56) wrong based on 76 sessions
If p and q are prime numbers, where p is no more than q, is sum of p and q a prime number?
(1) p is not equal to q.
(2) p is greater than 2.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 29791
Followers: 4899

Kudos [?]: 53538 [0], given: 8165

Re: If p and q are prime numbers, where p is no more than q, [#permalink]  10 Feb 2011, 15:26
Expert's post
1
This post was
BOOKMARKED
banksy wrote:
If p and q are prime numbers, where p is no more than q, is sum of p and q a prime number?
(1) p is not equal to q.
(2) p is greater than 2.

If p and q are prime numbers, where p is no more than q, is sum of p and q a prime number?

The sum of two primes to be a prime number necessary but not sufficient condition is one of the primes to be 2 and another more than 2 (so that the sum to be odd and have a chance to be a prime number), for example: 2+3=5 or 2+5=7 or 2+11=13. If both primes are more than 2 then both will be odd primes and their sum will be even>2, so not a prime number

(1) p is not equal to q --> if p=2 and q=3 then the answer will be YES but if p=2 and q=7 then the answer will be NO. Not sufficient.

(2) p is greater than 2 --> $$2<p$$ as also given that $$p\leq{q}$$ then $$2<p\leq{q}$$ thus both primes are more than 2 --> their sum is even so not a prime number. Sufficient.

_________________
Manager
Status: Still not there yet!!!
Joined: 11 Jan 2011
Posts: 60
Schools: Waaayyy....in the future - Booth!!
Followers: 2

Kudos [?]: 6 [0], given: 14

Re: If p and q are prime numbers, where p is no more than q, [#permalink]  10 Feb 2011, 15:41
oh, I see...
Two odd prime no will always sum up to be an even no cause O+O=E.And statement two proves that both p and q are Odd primes.Thank you Bunuel for the explanation.
Manager
Joined: 06 Feb 2010
Posts: 174
Schools: University of Dhaka - Class of 2010
GMAT 1: Q0 V0
GPA: 3.63
Followers: 51

Kudos [?]: 805 [0], given: 182

Re: If p and q are prime numbers, where p is no more than q, is [#permalink]  09 Sep 2013, 03:42
"p is no more than q".
Does it mean p=q?
_________________

Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly

Critical Reasoning: best-critical-reasoning-shortcuts-notes-tips-91280.html

Collections of MGMAT CAT: collections-of-mgmat-cat-math-152750.html

MGMAT SC SUMMARY: mgmat-sc-summary-of-fourth-edition-152753.html

Sentence Correction: sentence-correction-strategies-and-notes-91218.html

Arithmatic & Algebra: arithmatic-algebra-93678.html

I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 629
Followers: 65

Kudos [?]: 800 [0], given: 135

Re: If p and q are prime numbers, where p is no more than q, is [#permalink]  09 Sep 2013, 03:45
Expert's post
monirjewel wrote:
"p is no more than q".
Does it mean p=q?

It is a little non-restrictive than that.It means $$p\leq{q}$$. So the max p can be IS q, but not more than that. But, it can be less than q.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 29791
Followers: 4899

Kudos [?]: 53538 [0], given: 8165

Re: If p and q are prime numbers, where p is no more than q, is [#permalink]  09 Sep 2013, 03:46
Expert's post
monirjewel wrote:
"p is no more than q".
Does it mean p=q?

No, that means that $$p\leq{q}$$, p is less than or equal to q.
_________________
Re: If p and q are prime numbers, where p is no more than q, is   [#permalink] 09 Sep 2013, 03:46
Similar topics Replies Last post
Similar
Topics:
18 P and Q are prime numbers less than 70. What is the units digit of P*Q 10 09 Apr 2015, 21:45
3 If p and q are nonzero numbers, and p is not equal to q, in 5 22 Jul 2014, 07:15
Given that p and q are positive, prime numbers greater than 1 10 Nov 2012, 04:17
2 Does p^2 = q if p is a prime number? 6 08 Apr 2012, 13:08
5 p and q are different two-digit prime numbers with the same 14 10 Aug 2010, 20:39
Display posts from previous: Sort by