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

 It is currently 29 Jun 2016, 13:43

### 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 the integer k is divided by 12, the remainder is 3.

Author Message
TAGS:

### Hide Tags

VP
Joined: 03 Apr 2007
Posts: 1366
Followers: 4

Kudos [?]: 464 [0], given: 10

When the integer k is divided by 12, the remainder is 3. [#permalink]

### Show Tags

06 Jul 2008, 21:25
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

71% (01:59) correct 29% (00:46) wrong based on 74 sessions

### HideShow timer Statistics

When the integer k is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?

I. 2k
II. 6k
III. 4k + 6

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

OPEN DISCUSSION OF THIS QUESTION IS HERE: when-the-integer-k-is-divided-by-12-the-remainder-is-3-whi-102357.html
[Reveal] Spoiler: OA
Director
Joined: 14 Aug 2007
Posts: 733
Followers: 9

Kudos [?]: 159 [0], given: 0

### Show Tags

06 Jul 2008, 21:34
1
This post was
BOOKMARKED
goalsnr wrote:
14. When the integer k is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2k
II. 6k
III. 4k + 6

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

is it E.

k = 12*a + 3

2k = 12*2*a + 6
6k = 12*6*a + 18 ( 18 = 12+6)
4k + 6 = 12*4*a + 18 (18 = 12 + 6)
Current Student
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 46

Kudos [?]: 473 [1] , given: 355

Re: When the integer k is divided by 12, the remainder is 3. [#permalink]

### Show Tags

06 Oct 2013, 09:11
1
KUDOS
goalsnr wrote:
14. When the integer k is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2k
II. 6k
III. 4k + 6

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

OA please. IMO it is E.
We just need to express k=12q+3 and then perform all the operations and take remainders given.
I,II and III all true

I like Kudos
Math Expert
Joined: 02 Sep 2009
Posts: 33562
Followers: 5948

Kudos [?]: 73835 [1] , given: 9903

Re: When the integer k is divided by 12, the remainder is 3. [#permalink]

### Show Tags

06 Oct 2013, 09:15
1
KUDOS
Expert's post
jlgdr wrote:
goalsnr wrote:
14. When the integer k is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2k
II. 6k
III. 4k + 6

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

OA please. IMO it is E.
We just need to express k=12q+3 and then perform all the operations and take remainders given.
I,II and III all true

I like Kudos

Positive integer $$a$$ divided by positive integer $$d$$ yields a reminder of $$r$$ can always be expressed as $$a=qd+r$$, where $$q$$ is called a quotient and $$r$$ is called a remainder, note here that $$0\leq{r}<d$$ (remainder is non-negative integer and always less than divisor).

So we are given: $$k=12q+3$$.

I. 2k --> $$2k=2(12q+3)$$ --> $$2k=2*12q+6=12*(2q)+6$$ --> $$2k$$ divided by 12 yields reminder of 6;
II. 6k --> $$6k=6(12q+3)$$ --> $$6k=6*12q+18=12*(6q)+12+6=12(6q+1)+6$$ --> $$6k$$ divided by 12 yields reminder of 6;
III. 4k + 6 --> $$4k+6=4(12q+3)+6$$ --> $$4k+6=12*(4q+1)+6$$ --> $$4k+6$$ divided by 12 yields reminder of 6;

OPEN DISCUSSION OF THIS QUESTION IS HERE: when-the-integer-k-is-divided-by-12-the-remainder-is-3-whi-102357.html
_________________
Re: When the integer k is divided by 12, the remainder is 3.   [#permalink] 06 Oct 2013, 09:15
Similar topics Replies Last post
Similar
Topics:
3 When positive integer k is divided by 6 the remainder is 3 4 08 Feb 2016, 09:02
3 When the integer k is divided by 7, the remainder is 5. Which of the f 4 04 Dec 2014, 07:40
8 When 15 is divided by the positive integer k, the remainder 7 08 Apr 2014, 22:27
12 When positive integer k is divided by 1869, the remainder is 13 10 Dec 2010, 11:20
16 When the integer k is divided by 12, the remainder is 3. Whi 10 11 Sep 2010, 01:53
Display posts from previous: Sort by