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The positive integers P and N are not divisible by 4.
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06 Aug 2024, 23:25
06 Aug 2024, 23:25
Expert Reply
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Question Stats:
63% (00:51) correct
36% (01:07) wrong based on 33 sessions
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The positive integers P and N are not divisible by 4.
Quantity A |
Quantity B |
The remainder when P + N is divided by 4 |
1 |
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The positive integers P and N are not divisible by 4.
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19 Sep 2024, 23:48
19 Sep 2024, 23:48
1
P = 1, N = 3 => remainder when P + N is divided by 4 is 0 < 1
P = 1, N = 5 => remainder when P + N is divided by 4 is 2 > 1
=> D
P = 1, N = 5 => remainder when P + N is divided by 4 is 2 > 1
=> D
The positive integers P and N are not divisible by 4.
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21 Feb 2025, 09:31
21 Feb 2025, 09:31
1
Cases is probably quicker for this, but algebraically:
P = 4i + x
N = 4j + y
P + N = 4(i + j) + x + y
P + N / 4 = i + j + (x + y) / 4
Therefore, the remainder is x + y. x and y can be one of (1,2,3), because P & N are not divisible by 4. Thus, x + y could be 2 + 2, in which case r=0. x & y could be 1 + 1, in which case r=2.
D
P = 4i + x
N = 4j + y
P + N = 4(i + j) + x + y
P + N / 4 = i + j + (x + y) / 4
Therefore, the remainder is x + y. x and y can be one of (1,2,3), because P & N are not divisible by 4. Thus, x + y could be 2 + 2, in which case r=0. x & y could be 1 + 1, in which case r=2.
D
