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What is the remainder when N is divided by 8? (1) N is a product of

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What is the remainder when N is divided by 8? (1) N is a product of  [#permalink]

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New post 17 Oct 2017, 04:33
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Question Stats:

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What is the remainder when N is divided by 8?

(1) N is a product of four consecutive positive integers.
(2) N is a product of three consecutive positive integers: p, q, and r, among which p is even.

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Re: What is the remainder when N is divided by 8? (1) N is a product of  [#permalink]

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New post 17 Oct 2017, 05:36
nkmungila wrote:
What is the remainder when N is divided by 8?

(1) N is a product of four consecutive positive integers.
(2) N is a product of three consecutive positive integers: p, q, and r, among which p is even.


Quite straightforward D..

Let's see what each statement tells us...
1) N is product of 4 consecutive integers.
So these four integers will contain two even INTEGERS, one of which will surely will be multiple of 4 and other 2....
So their product will surely be multiple of 2*4=8
Suff

2) this too tells us exactly what statement I tells us. So p and r are even INTEGERS, one of which has to be a multiple of 2 and other 4
Sufficient..

D..

But are the statements compatible to each other, one may have to see apart from one example.. 24=1*2*3*4 or 2*3*4
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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What is the remainder when N is divided by 8? (1) N is a product of  [#permalink]

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New post 17 Oct 2017, 05:42
chetan2u wrote:
nkmungila wrote:
What is the remainder when N is divided by 8?

(1) N is a product of four consecutive positive integers.
(2) N is a product of three consecutive positive integers: p, q, and r, among which p is even.


Quite straightforward D..

Let's see what each statement tells us...
1) N is product of 4 consecutive integers.
So these four integers will contain two even INTEGERS, one of which will surely will be multiple of 4 and other 2....
So their product will surely be multiple of 2*4=8
Suff

2) this too tells us exactly what statement I tells us. So p and r are even INTEGERS, one of which has to be a multiple of 2 and other 4
Sufficient..

D..

But are the statements compatible to each other, one may have to see apart from one example.. 24=1*2*3*4 or 2*3*4


I have a problem with Statement B. It's not clear whether p, q, r are consecutive numbers in that sequence. While we don't have a reason to believe other wise too, but it does bring an element of doubt. I marked A cause of this.

I think Statement B should be reworded for clarity and the difficulty level of the question needs to be brought down to 600-700 level.
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Re: What is the remainder when N is divided by 8? (1) N is a product of  [#permalink]

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New post 17 Oct 2017, 06:06
TheMechanic wrote:
chetan2u wrote:
nkmungila wrote:
What is the remainder when N is divided by 8?

(1) N is a product of four consecutive positive integers.
(2) N is a product of three consecutive positive integers: p, q, and r, among which p is even.


Quite straightforward D..

Let's see what each statement tells us...
1) N is product of 4 consecutive integers.
So these four integers will contain two even INTEGERS, one of which will surely will be multiple of 4 and other 2....
So their product will surely be multiple of 2*4=8
Suff

2) this too tells us exactly what statement I tells us. So p and r are even INTEGERS, one of which has to be a multiple of 2 and other 4
Sufficient..

D..

But are the statements compatible to each other, one may have to see apart from one example.. 24=1*2*3*4 or 2*3*4


I have a problem with Statement B. It's not clear whether p, q, r are consecutive numbers in that sequence. While we don't have a reason to believe other wise too, but it does bring an element of doubt. I marked A cause of this.

I think Statement B should be reworded for clarity and the difficulty level of the question needs to be brought down to 600-700 level.


I agree with you and the Q in whatever state is 600-700 level. You will come across these properties many times in other Q in more difficult manner.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: What is the remainder when N is divided by 8? (1) N is a product of &nbs [#permalink] 17 Oct 2017, 06:06
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