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17 Oct 2017, 05:33
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68% (01:29) correct
32%
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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.
(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.
17 Oct 2017, 06:36
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nkmungila
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.
(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
TheMechanic
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17 Oct 2017, 06:42
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chetan2u
nkmungila
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.
(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.
