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The remainder when positive integer x is divided by 11
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10 Nov 2022, 10:27
10 Nov 2022, 10:27
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Question Stats:
51% (00:24) correct
48% (00:37) wrong based on 37 sessions
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Quantity A |
Quantity B |
The remainder when positive integer x is divided by 11 |
11 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: The remainder when positive integer x is divided by 11
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10 Nov 2022, 20:39
10 Nov 2022, 20:39
2
The remainder is always smaller than x.
x is a positive integer.
For example,
1 divided by 11, the remainder is 1
2 divided by 11, the remainder is 2
3 divided by 11, the remainder is 3
....
10 divided by 11, the remainder is 10
11 divided by 11, the remainder is 0
12 divided by 11, the remainder is 1
#remainders are in the repeat of 0,1,2,3,4,5,6,7,8,9,10
Therefore, Quantity A < Quantity B (11)
x is a positive integer.
For example,
1 divided by 11, the remainder is 1
2 divided by 11, the remainder is 2
3 divided by 11, the remainder is 3
....
10 divided by 11, the remainder is 10
11 divided by 11, the remainder is 0
12 divided by 11, the remainder is 1
#remainders are in the repeat of 0,1,2,3,4,5,6,7,8,9,10
Therefore, Quantity A < Quantity B (11)
Re: The remainder when positive integer x is divided by 11
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08 Sep 2023, 11:26
08 Sep 2023, 11:26
1
Remainder < Divisor.
All possible remainders when a number is divided by 11 = Numbers 1-10
Hence if the highest possible remainder with a divisor of 11 is 10, 11 (B) will always be greater
Answer B
All possible remainders when a number is divided by 11 = Numbers 1-10
Hence if the highest possible remainder with a divisor of 11 is 10, 11 (B) will always be greater
Answer B
