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What is the remainder when integer n is divided by two?

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What is the remainder when integer n is divided by two?  [#permalink]

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New post 10 Jan 2017, 03:51
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What is the remainder when integer n is divided by two?

(1) When n is divided by 3, the remainder is odd.
(2) When n is divided by 4, the remainder is odd.

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Re: What is the remainder when integer n is divided by two?  [#permalink]

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New post 10 Jan 2017, 05:55
Bunuel wrote:
What is the remainder when integer n is divided by two?

(1) When n is divided by 3, the remainder is odd.
(2) When n is divided by 4, the remainder is odd.


(1) 3 has only one odd remainder - 1. Our number N=3x + 1 will be even or odd depending on x (1, 4, 7, 10 ...). Insufficient.

(2). 4 has two odd remainders 1 and 3. N=4x + 1 or N=4x + 3. In both cases independently of x our N will always be odd. Sufficient.

Answer B.
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Re: What is the remainder when integer n is divided by two?  [#permalink]

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New post 11 Jan 2017, 07:47
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Bunuel wrote:
What is the remainder when integer n is divided by two?

(1) When n is divided by 3, the remainder is odd.
(2) When n is divided by 4, the remainder is odd.


We need to determine the remainder when integer n is divided by 2. Keep in mind that the only possible remainders when an integer is divided by 2 are 0 and 1.

Statement One Alone:

When n is divided by 3, the remainder is odd.

The information in statement one is not sufficient to answer the question. For example, if n = 7, then the remainder when n is divided by 2 is 1; however, when n = 16, the remainder when n is divided by 2 is 0.

Statement Two Alone:

When n is divided by 4 the remainder is odd.

Because division of n by 4 produces an odd remainder, we know that n is odd. If n is odd, the remainder when n is divided by 2 will always be 1. Statement two alone is sufficient to answer the question.

Answer: B
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Re: What is the remainder when integer n is divided by two?  [#permalink]

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New post 12 Jul 2018, 23:46
What is the remainder when integer n is divided by two?
Possibilities
1. n is EVEN, remainder is 0
2. n is ODD, remainder is 1

so we are looking at :- ''is n odd or even?''

(1) When n is divided by 3, the remainder is odd.
n can be odd, say 13 = 3*4+1
n can be even, say 10 = 3*3+1

so n can be odd or even
insuff

(2) When n is divided by 4, the remainder is odd.
this means n=4x+1 where x is an integer
so n is always odd and remainder will always be 1
suffB
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Re: What is the remainder when integer n is divided by two? &nbs [#permalink] 12 Jul 2018, 23:46
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