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The remainder when 14 is divided

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Carcass
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The remainder when 14 is divided [#permalink] New post   12 Jan 2021, 09:14
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Question Stats:

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Quantity A
Quantity B
The remainder when 14 is divided by 5
The remainder when 14 is divided by 3


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
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Re: The remainder when 14 is divided [#permalink] New post   12 Jan 2021, 10:27
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Carcass wrote:
Quantity A
Quantity B
The remainder when 14 is divided by 5
The remainder when 14 is divided by 3


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


14 divided by 5 equals 2 with remainder 4.
14 divided by 3 equals 4 with remainder 2.

So we have:
QUANTITY A: 4
QUANTITY B: 2

Answer: A
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The remainder when 14 is divided [#permalink] New post   05 Sep 2022, 09:50
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Theory

    ‣‣‣ Remainder of any number by 5 is same as remainder of the unit's digit of that number by 5
    ‣‣‣ Remainder of any number by 3 is same as remainder of the sum of the digits of that number by 3

Quantity A

The remainder when 14 is divided by 5 = The remainder when 4 is divided by 5 = 4

Quantity B

The remainder when 14 is divided by 3 = The remainder when (1+4=5) is divided by 3 = 2

Clearly, Quantity A > Quantity B

So, Answer will be A
Hope it helps!

Watch the following video to learn the Basics of Remainders

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The remainder when 14 is divided [#permalink]
05 Sep 2022, 09:50
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