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

 It is currently 02 Jul 2015, 15:31

### 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 n is an integer such that 1/6 < 1/(n-1) < 1/3, what

Author Message
TAGS:
Senior Manager
Joined: 22 Sep 2005
Posts: 279
Followers: 1

Kudos [?]: 99 [0], given: 1

If n is an integer such that 1/6 < 1/(n-1) < 1/3, what [#permalink]  01 Nov 2006, 05:42
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If n is an integer such that 1/6 < 1/(n-1) < 1/3, what is the value of n?

1) (n-6) (n-7) = 0

2) -14>1-3n
VP
Joined: 25 Jun 2006
Posts: 1173
Followers: 2

Kudos [?]: 79 [0], given: 0

1) plug in 6 and 7. u know 6 is the only one. Suff.

2) u get x > 5. from the stem, u get 4 < n < 7. so n can only be 6 here. Suff.
Senior Manager
Joined: 05 Jun 2005
Posts: 455
Followers: 1

Kudos [?]: 23 [0], given: 0

tennis_ball wrote:

1) plug in 6 and 7. u know 6 is the only one. Suff.

2) u get x > 5. from the stem, u get 4 < n < 7. so n can only be 6 here. Suff.

for the 2nd statement, can you please show the actual step of how you flipped it and got the range for n?

I know you manipulated it with 1. but just want to make sure that I get this.

thanks
Manager
Joined: 29 Aug 2006
Posts: 157
Followers: 1

Kudos [?]: 4 [0], given: 0

1/(n-1) >1/6
and
1/(n-1)<1/3

From 1) we know that n can be either 6 or 7, which means (n-1) is +ve

So from the question, we get n-1<6 adnd n-1>3
hence n<7 and n>4 , which means n=6

From 2) -14>1-3n
-14>-(3n-1)

Mutiplying both sides by -1 reverses the inequality sign
hence 3n-1>14
3n>15
n>5
from the question, we know that n<7 and n> 4
so n has to be 6.

Hence D
SVP
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 124 [0], given: 39

If n is an integer such that 1/6 < 1/(n-1) < 1/3, what is the value of n?

1) (n-6) (n-7) = 0

2) -14>1-3n

REPHRASE

6>N-1>3

7>N>3 WHAT IS N? ( IT COULD BE 4,5,6)

FROM ONE N= 6....SUFF

FROM TWO

15<3N THUS N>5 THUS N= 6 SUFF , MY ANSWER IS D
Director
Joined: 06 Sep 2006
Posts: 745
Followers: 1

Kudos [?]: 18 [0], given: 0

From stem:
1/6 < 1/(n-1) ==> n-1 < 6 ==> n < 7
1/(n-1) < 1/3 ==> 3 < n-1 ==> n > 4

1) n = 7 or 6 ; n = 6 since n < 7 & a integer. Sufficient.
2) -14 > 1 - 3n ==> 3n > 15 ==> n > 5; n is integer and n < 7 so n = 6. Sufficient

D.
VP
Joined: 25 Jun 2006
Posts: 1173
Followers: 2

Kudos [?]: 79 [0], given: 0

uvs_mba wrote:
tennis_ball wrote:

1) plug in 6 and 7. u know 6 is the only one. Suff.

2) u get x > 5. from the stem, u get 4 < n < 7. so n can only be 6 here. Suff.

for the 2nd statement, can you please show the actual step of how you flipped it and got the range for n?

I know you manipulated it with 1. but just want to make sure that I get this.

thanks

Priyah explained it well.
Similar topics Replies Last post
Similar
Topics:
3 If n is an integer and 100 < n <200, what is the value of n? 7 28 Jan 2012, 03:12
n is integer. Is (x-1)^n <= (y-1)^n? 1. 1 < x 2. x 1 30 Nov 2007, 07:52
If n is an integer and 100 < n <200, what is the value of n? 8 28 Aug 2006, 05:00
Is 0.n68<1/n? 1). n<5 2). 0.n68<1/n^2 10 27 May 2006, 13:32
If n is an integer and 100<n<120, what is the value of 3 12 Nov 2005, 23:19
Display posts from previous: Sort by