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

 It is currently 22 Jul 2018, 04:03

### 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

# If n is a prime number, what is the value of n?

Author Message
TAGS:

### Hide Tags

Manager
Status: The journey is always more beautiful than the destination
Affiliations: Computer Science
Joined: 24 Apr 2017
Posts: 56
Location: India
Concentration: Statistics, Strategy
GMAT 1: 570 Q40 V28
GPA: 3.14
If n is a prime number, what is the value of n?  [#permalink]

### Show Tags

07 Apr 2018, 02:24
3
00:00

Difficulty:

35% (medium)

Question Stats:

61% (00:35) correct 39% (00:40) wrong based on 49 sessions

### HideShow timer Statistics

If n is a prime number, what is the value of n?

(1) n^2 + n = 6.
(2) 4n is a single digit even number

_________________

Sky is the limit. 800 is the limit.

Math Expert
Joined: 02 Aug 2009
Posts: 6275
Re: If n is a prime number, what is the value of n?  [#permalink]

### Show Tags

07 Apr 2018, 19:42
Nixondutta wrote:
If n is a prime number, what is the value of n?

(1) n^2 + n = 6.
(2) 4n is a single digit even number

n is a PRIME number..
1) n^2+n=6...
Either $$n^2+n=6.........n(n+1)=3*2$$, so n=2..
Or $$n^2+n=6........n^2+n-6=0........n^2+3n-2n-6=0.......(n+3)(n-2)=0$$
So n can be -3 or 2.... But n is prime, so n=2
Sufficient

2) 4n is a single digit even number.
So 4n<10........n<2.5
n can be 1 or 2..
Since n is prime, so n is 2
Suff

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Senior Manager
Joined: 31 Oct 2013
Posts: 377
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If n is a prime number, what is the value of n?  [#permalink]

### Show Tags

10 Apr 2018, 12:25
Nixondutta wrote:
If n is a prime number, what is the value of n?

(1) n^2 + n = 6.
(2) 4n is a single digit even number

It's given in the question that n is a prime number. we have to find out value of n.

statement 1: n^2 + n = 6

n(n+1)=6

n and n+1 are consecutive number. only n equals to 2 meet the equation true. thus , n = 2 which is a prime.

statement 2: 4n is a single digit even number. It means that 4n< 10 . so n<2.5. only prime below 2.5 is 2 . thus, statement 2 is sufficient.

Re: If n is a prime number, what is the value of n? &nbs [#permalink] 10 Apr 2018, 12:25
Display posts from previous: Sort by

# Events & Promotions

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