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The remainder when positive integer x is divided by 11

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The remainder when positive integer x is divided by 11 [#permalink] New post   10 Nov 2022, 10:27
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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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Licenzart
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Re: The remainder when positive integer x is divided by 11 [#permalink] New post   10 Nov 2022, 20:39
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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)
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Re: The remainder when positive integer x is divided by 11 [#permalink] New post   08 Sep 2023, 11:26
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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
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Re: The remainder when positive integer x is divided by 11 [#permalink] New post   21 Dec 2025, 08:04
Hello from the GRE Prep Club BumpBot!

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Re: The remainder when positive integer x is divided by 11 [#permalink]
21 Dec 2025, 08:04
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