When 26 is divided by K, the remainder is K-2. K = ? (1) : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 21:03

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# When 26 is divided by K, the remainder is K-2. K = ? (1)

Author Message
Senior Manager
Joined: 29 Aug 2005
Posts: 283
Followers: 2

Kudos [?]: 51 [0], given: 0

When 26 is divided by K, the remainder is K-2. K = ? (1) [#permalink]

### Show Tags

20 Jun 2008, 00:20
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 9 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

When 26 is divided by K, the remainder is K-2. K = ?
(1) K>5
(2) K<10

My approach is to plug in numbers and find out the solution. i m posting it here so as to know a logical way of solving it(i dont want to solve it by plugging in numbers)

statement 1 we are given that k>5, so K can be 7,or 14.so insufficent
statement 2 k can be 4 or 7.so insufficent

both statements put together we know that k can be 7 only

_________________

The world is continuous, but the mind is discrete

Director
Joined: 27 May 2008
Posts: 549
Followers: 8

Kudos [?]: 312 [0], given: 0

### Show Tags

20 Jun 2008, 00:30
26 = x*k + (K-2)
28 = (x+1)*K

it means that 28 is divisible by K
Possible values of K 2,4,7,14
now k can not be 2 as K-2 will become 0 and 26 will also be divisible by K.

From statement 1, k = 7,14
From statement 2, K = 5,7

The answer is C and we havent plugged values.....
Senior Manager
Joined: 29 Aug 2005
Posts: 283
Followers: 2

Kudos [?]: 51 [0], given: 0

### Show Tags

20 Jun 2008, 00:36
durgesh79 wrote:
26 = x*k + (K-2)
28 = (x+1)*K

it means that 28 is divisible by K
Possible values of K 2,4,7,14
now k can not be 2 as K-2 will become 0 and 26 will also be divisible by K.

From statement 1, k = 7,14
From statement 2, K = 5,7

The answer is C and we havent plugged values.....

Thanks Durgesh

Understood this
_________________

The world is continuous, but the mind is discrete

Re: DS question   [#permalink] 20 Jun 2008, 00:36
Display posts from previous: Sort by