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02 May 2021, 03:45
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B
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If p is a positive integer, is p even?
(1) p divided by 3 leaves a remainder of 1
(2) p divided by 4 leaves a remainder of 1
(1) p divided by 3 leaves a remainder of 1
(2) p divided by 4 leaves a remainder of 1
09 May 2021, 03:45
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If p is a positive integer, is p even?
(1) p divided by 3 leaves a remainder of 1 --> p = 3q + 1 --> p could be 1, 4, 7, ... So, as you can see p can be odd as well as even. Not sufficient.
(2) p divided by 4 leaves a remainder of 1 --> p = 4m + 1 = even + odd = odd (p could be 1, 5, 9, ...). Sufficient.
Answer: B.
(1) p divided by 3 leaves a remainder of 1 --> p = 3q + 1 --> p could be 1, 4, 7, ... So, as you can see p can be odd as well as even. Not sufficient.
(2) p divided by 4 leaves a remainder of 1 --> p = 4m + 1 = even + odd = odd (p could be 1, 5, 9, ...). Sufficient.
Answer: B.
General Discussion
02 May 2021, 04:19
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If p is a positive integer, is p even?
(1) p divided by 3 leaves a remainder of 1
So p=3x+1. P could be 4, 7, 10..
Insufficient
(2) p divided by 4 leaves a remainder of 1
p=4K+1=even+odd=odd.
p could be 1, 5, 9, and so on. But it will always be odd.
Sufficient
B
(1) p divided by 3 leaves a remainder of 1
So p=3x+1. P could be 4, 7, 10..
Insufficient
(2) p divided by 4 leaves a remainder of 1
p=4K+1=even+odd=odd.
p could be 1, 5, 9, and so on. But it will always be odd.
Sufficient
B
