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# What is the remainder when is divided by 6 if is a positiv

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Manager
Joined: 25 Jun 2012
Posts: 63
What is the remainder when is divided by 6 if is a positiv  [#permalink]

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12 Nov 2012, 22:18
3
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:16) correct 27% (01:35) wrong based on 166 sessions

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What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3

(2) When B is divided by 12, the remainder is 9
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Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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12 Nov 2012, 22:41
1
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3

(2) When B is divided by 12, the remainder is 9

remainder of B/6 ?

Statement 1: B/18 gives a remainder of 3. Since 18 is a multiple of 6 , remainder when B is divided by 6 would also be 3. Sufficient
Statement 2: B/12 gives a remainder of 9. Since 12 is a multiple of 6 , remainder when B is divided by 6 could also be 9. However 9 is more than 6. So we can take out another 6 out of it. Remainder would be 9-6 =3. Sufficient

Ans D it is.
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Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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13 Nov 2012, 03:19
2
2
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3 --> $$B=18q+3=6*(3q)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

(2) When B is divided by 12, the remainder is 9 --> $$B=12p+9=6*(2p+1)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

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Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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13 Nov 2012, 10:07
Bunuel wrote:
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3 --> $$B=18q+3=6*(3q)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

(2) When B is divided by 12, the remainder is 9 --> $$B=12p+9=6*(2p+1)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

That's it!
I'd like to look some more examples, could you post some reference?

Also I'd like to know what's your opinion of the difficulty level of this problem, is it in the 550-600 range or above?
Manager
Joined: 25 Jun 2012
Posts: 63
Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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13 Nov 2012, 10:12
Vips0000 wrote:
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3

(2) When B is divided by 12, the remainder is 9

remainder of B/6 ?

Statement 1: B/18 gives a remainder of 3. Since 18 is a multiple of 6 , remainder when B is divided by 6 would also be 3. Sufficient
Statement 2: B/12 gives a remainder of 9. Since 12 is a multiple of 6 , remainder when B is divided by 6 could also be 9. However 9 is more than 6. So we can take out another 6 out of it. Remainder would be 9-6 =3. Sufficient

Ans D it is.

This kind of solving is really fast but as for me it is on the high level,
but how can I deduct that 9-6=3
I can't find the clue to that
Math Expert
Joined: 02 Sep 2009
Posts: 52432
Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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13 Nov 2012, 10:15
Bunuel wrote:
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3 --> $$B=18q+3=6*(3q)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

(2) When B is divided by 12, the remainder is 9 --> $$B=12p+9=6*(2p+1)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

That's it!
I'd like to look some more examples, could you post some reference?

Also I'd like to know what's your opinion of the difficulty level of this problem, is it in the 550-600 range or above?

Check our question banks: viewforumtags.php

DS questions on remainders: search.php?search_id=tag&tag_id=198
PS questions on remainders: search.php?search_id=tag&tag_id=199

Hope it helps.
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Manager
Joined: 25 Jun 2012
Posts: 63
Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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13 Nov 2012, 11:41
Bunuel wrote:
Bunuel wrote:
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3 --> $$B=18q+3=6*(3q)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

(2) When B is divided by 12, the remainder is 9 --> $$B=12p+9=6*(2p+1)+3$$, thus B divided by 6 yields the remainder of 3. Sufficient.

That's it!
I'd like to look some more examples, could you post some reference?

Also I'd like to know what's your opinion of the difficulty level of this problem, is it in the 550-600 range or above?

Check our question banks: viewforumtags.php

DS questions on remainders: search.php?search_id=tag&tag_id=198
PS questions on remainders: search.php?search_id=tag&tag_id=199

Hope it helps.

Check our question banks: viewforumtags.php
Thanx for that
Really nice reference.
Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 587
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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13 Nov 2012, 18:32
1
Vips0000 wrote:
What is the remainder when B is divided by 6 if B is a positive integer?

(1) When B is divided by 18, the remainder is 3

(2) When B is divided by 12, the remainder is 9

remainder of B/6 ?

Statement 1: B/18 gives a remainder of 3. Since 18 is a multiple of 6 , remainder when B is divided by 6 would also be 3. Sufficient
Statement 2: B/12 gives a remainder of 9. Since 12 is a multiple of 6 , remainder when B is divided by 6 could also be 9. However 9 is more than 6. So we can take out another 6 out of it. Remainder would be 9-6 =3. Sufficient

Ans D it is.

This kind of solving is really fast but as for me it is on the high level,
but how can I deduct that 9-6=3
I can't find the clue to that

The clue lies in the simple principle 'remainder can not be greater than divisor'
what u need to do is take out as many 6s from remainder as possible, in case its greater than 6. for example if the same question says, B divided by 24 gives 19 so what is remainder when B/6? simply 19 - 3*6 = 1
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Re: What is the remainder when is divided by 6 if is a positiv  [#permalink]

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20 Sep 2018, 06:05
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Re: What is the remainder when is divided by 6 if is a positiv &nbs [#permalink] 20 Sep 2018, 06:05
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