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What is the remainder when the positive integer P is divided by 6?

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What is the remainder when the positive integer P is divided by 6? [#permalink] New post   Updated on: 07 Apr 2020, 23:41
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A
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E

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75% (hard)

Question Stats:

40% (01:24) correct 60% (00:49) wrong based on 101 sessions
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What is the remainder when the positive integer P is divided by 6?

    I. P = 6k+1
    II. P > 3




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Official Answer
E

Originally posted by GMATWhizTeam on 07 Apr 2020, 07:55.
Last edited by GMATWhizTeam on 07 Apr 2020, 23:41, edited 1 time in total.
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What is the remainder when the positive integer P is divided by 6? [#permalink] New post   Updated on: 08 Apr 2020, 06:53
Expert Reply
Here's the official solution of the question. Do go through it to ensure that you followed the same approach as suggested in the video.


Originally posted by GMATWhizTeam on 07 Apr 2020, 07:56.
Last edited by GMATWhizTeam on 08 Apr 2020, 06:53, edited 1 time in total.
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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   07 Apr 2020, 08:02
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Sal91 Sappy Nikhil099 preetamsaha minustark shameekv1989 sauravleo123 - Here's the first question of Lesson 3. Do solve it and share your explanations. All the best!
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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   07 Apr 2020, 08:11
What is the remainder when the positive integer P is divided by 6?

I. P = 6k+1
so, the remainder is 1 when the positive integer P is divided by 6. sufficient

II. P > 3
if, p=4, rem is 4
BUT if, p=5, rem is 5. insufficient

correct answer is A
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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   07 Apr 2020, 09:52
P/6, remainder=?
P= pos integer
Statement 1:
P=6k+1
No need to do any work.
Directly says 1 is the remainder.
Sufficient
Statement 2:
P>3
If p=4, remainder=4
If p=6, remainder=0
Insufficient
A

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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   07 Apr 2020, 10:13
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No info given on k.

1. P= 6k+1
k= 1.5 gives P= 10, remainder= 4
k= 1 gives P= 7, remainder = 1
Insufficient

2. P> 3 , insufficient

1 and 2, same as 1. Insufficient

Answer should be E

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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   07 Apr 2020, 13:20
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What is the remainder when the positive integer P is divided by 6?

    I. P = 6k+1
    II. P > 3

If k is integer then the remainder is 1 always. But if k is not integer remainders can vary.

i) if k = 1/6 => P = 2 => Remainder = 2
if k = 1 => P = 7 => Remainder = 1
-Not Sufficient

ii) P>3
if P=4 => Remainder = 4
if P=5 => Remainder = 5

Combining
k=4/6 => P = 5 => Remainder = 5
k=3/6 => P = 4 => Remaidner = 4

Insufficient

Answer - E
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What is the remainder when the positive integer P is divided by 6? [#permalink] New post   08 Apr 2020, 02:40
Expert Reply
sauravleo123 wrote:
P/6, remainder=?
P= pos integer
Statement 1:
P=6k+1
No need to do any work.
Directly says 1 is the remainder.
Sufficient
Statement 2:
P>3
If p=4, remainder=4
If p=6, remainder=0
Insufficient
A


preetamsaha wrote:
What is the remainder when the positive integer P is divided by 6?

I. P = 6k+1
so, the remainder is 1 when the positive integer P is divided by 6. sufficient

II. P > 3
if, p=4, rem is 4
BUT if, p=5, rem is 5. insufficient

correct answer is A


Hey Saurav, Preetam,

Thanks for posting your solution. :)

However, you made a small mistake in statement 1. You "assumed" that k is a positive integer. What if k = 1/2, in that case, will we get remainder as 1?


Regards,
GMATWhiz Team
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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   08 Apr 2020, 06:53
Expert Reply
The official solution has been posted. You can refer to it in the post right below the question.
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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   21 Aug 2020, 01:03
preetamsaha wrote:
What is the remainder when the positive integer P is divided by 6?

I. P = 6k+1
so, the remainder is 1 when the positive integer P is divided by 6. sufficient

II. P > 3
if, p=4, rem is 4
BUT if, p=5, rem is 5. insufficient

correct answer is A


What if K is not an integer?
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Re: What is the remainder when the positive integer P is divided by 6? [#permalink] New post   07 Apr 2022, 01:28
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