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n is a positive integer. What is the remainder when n is divided by 6?

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n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

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New post 01 Jul 2018, 20:38
1
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A
B
C
D
E

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  25% (medium)

Question Stats:

79% (01:13) correct 21% (01:33) wrong based on 70 sessions

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Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

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New post 01 Jul 2018, 22:09
1
1) n = 3I
n= 0,3,6,9,12,15,18
r= x,x,0,3, 0, 3, 0

Thus Not Sufficient.

2) n=2I + 1
n= 1,3,5,7,9,11,13,15
r= x,x,x,1,3, 5, 1, 3

Thus Not Sufficient.

Combining - 3,9 and 15
Remainders - x,3 and 3

Therefore (C) is the answer
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Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

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New post 01 Jul 2018, 23:54
n is a positive integer. What is the remainder when n is divided by 6?

(1) n is a multiple of 3.
so if n is EVEN number, it will leave a remainder 0 ....\(n=3*2x=6x\)
and if n is odd number, it will leave a remainder 3...\(n=3*(2x+1)=6x+3\)
insuff

(2) When n is divided by 2, the remainder is 1.
we do not know div by 3
insuff

combined..
we know n is not even and div by 3..
so remainder is 3
suff

C
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Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

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New post 02 Jul 2018, 00:00
Bunuel wrote:
n is a positive integer. What is the remainder when n is divided by 6?

(1) n is a multiple of 3.
(2) When n is divided by 2, the remainder is 1.


Ans: C

Reminder when n divided by 6
Stat:1) n is multiple of 3: we know every even multiple of 3 will leave reminder 0 when divided by 6 and every odd multiple of 3 will leave reminder 3 when divided by 6. (Not Sufficient to ans)

Stat:2) when n is divided by 2 reminder is 1: so n = 2I+1
means n= 1,3,5,7,9,11,13,15.... in this case when n divided by 6 reminder is 1,3,5,1,3,5... respectively so (Not Suffi.)

Together Stat :1 & 2) n is a multiple of 3 and leaves 1 as reminder when divided by 2 means all odd multiple of 3.
So n= 3, 9, 15 and so on.. reminder when n divided by 6 is 3,3,3,... respectively.. so [Sufficient]

Ans: C
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Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

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New post 09 Jul 2018, 02:19
Bunuel wrote:
n is a positive integer. What is the remainder when n is divided by 6?

(1) n is a multiple of 3.
(2) When n is divided by 2, the remainder is 1.



n = 6x + R , where R<6. We need to find R.

1) n = 3T, does not give a definite value for R. Insufficient

2) n = 2y + 1, on multiplying b/s by 3, we get

3n = 6y + 3, can be modified to 3n - 2n = 6y + 3 - 2n which gives n = 6y + 3 - 2n. on its own statement 2 is also insufficient to solve for R

Combining 1) & 2) n = 6y + 3 - 2(3T) or n = 6y + 3 - 6(T) or n = 6(y - T) + 3, which is in the form of n = 6x + R so, R = 3, Sufficient. Answer is C.


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Re: n is a positive integer. What is the remainder when n is divided by 6? &nbs [#permalink] 09 Jul 2018, 02:19
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