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The least positive number that

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Carcass
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The least positive number that [#permalink] New post   28 Jun 2021, 05:40
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Quantity A
Quantity B
The least positive number that will leave a remainder of 3 when divided by 4
The least positive number that will leave a remainder of 3 when divided by 5



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.
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C
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GreenlightTestPrep
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Re: The least positive number that [#permalink] New post   28 Jun 2021, 06:18
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Carcass wrote:
Quantity A
Quantity B
The least positive number that will leave a remainder of 3 when divided by 4
The least positive number that will leave a remainder of 3 when divided by 5



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.


When it comes to remainders, we have a nice property that says:

If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.

QUANTITY A: The least positive number that will leave a remainder of 3 when divided by 4
So, the possible values that satisfy this condition are: 3, 7, 11, 15, 19, ... etc
The smallest value is 3.

QUANTITY B: The least positive number that will leave a remainder of 3 when divided by 5
So, the possible values that satisfy this condition are: 3, 8, 13, 18, 23, 28,... etc
The smallest value is 3.

Answer: C

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Re: The least positive number that [#permalink] New post   28 Jun 2021, 05:54
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The least positive number that will leave a reminder in either case is 3; both 3/4 and 3/5 will leave a reminder of 3.
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Re: The least positive number that [#permalink] New post   21 Dec 2025, 08:01
Hello from the GRE Prep Club BumpBot!

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