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

Question

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

GMAT  Whiz Quant Prepathon Lesson 3 Question 1

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GMATWhizTeam · Answer

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.

https://www.youtube.com/watch?v=SSRYskluQPk

GMATWhizTeam · Answer

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!

preetamsaha · Answer

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

sauravleo123 · Answer

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

Posted from my mobile device

prateek25 · Answer

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

Posted from my mobile device

shameekv1989 · Answer

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

GMATWhizTeam · Answer

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

GMATWhizTeam · Answer

The official solution has been posted. You can refer to it in the post right below the question.

Tiburcio1987 · Answer

What if K is not an integer?

bumpbot · Answer

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

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