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Integers m and n when individually divided by the number 5
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06 Apr 2021, 01:51
06 Apr 2021, 01:51
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90% (01:11) correct
10% (01:42) wrong based on 40 sessions
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Integers m and n when individually divided by the number 5, their remainders are 2 and 1 respectively.
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
The remainder obtained when the sum of m and n is divided by 5 |
The remainder obtained when the product of m and n is 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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: Integers m and n when individually divided by the number 5
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06 Apr 2021, 09:49
06 Apr 2021, 09:49
1
\(m\) divided by 5- remainder 2 so \(m\) can be - 2 , 7 , 12 , 17 , ...
\(n\) divided by 5- remainder 1 so \(n\) can be - 1 , 6 , 11 , 16 , ...
Qt A
remainder when \(m + n\) are divided by 5.
In all cases, remainder will be 3
Qt B
remainder when \(mn\) is divided by 5
In all cases, remainder will be 2
Qt A > Qt B
Answer A
\(n\) divided by 5- remainder 1 so \(n\) can be - 1 , 6 , 11 , 16 , ...
Qt A
remainder when \(m + n\) are divided by 5.
In all cases, remainder will be 3
Qt B
remainder when \(mn\) is divided by 5
In all cases, remainder will be 2
Qt A > Qt B
Answer A
Re: Integers m and n when individually divided by the number 5
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22 Feb 2023, 13:17
22 Feb 2023, 13:17
rx10 wrote:
\(m\) divided by 5- remainder 2 so \(m\) can be - 2 , 7 , 12 , 17 , ...
\(n\) divided by 5- remainder 1 so \(n\) can be - 1 , 6 , 11 , 16 , ...
Qt A
remainder when \(m + n\) are divided by 5.
In all cases, remainder will be 3
Qt B
remainder when \(mn\) is divided by 5
In all cases, remainder will be 2
Qt A > Qt B
Answer A
\(n\) divided by 5- remainder 1 so \(n\) can be - 1 , 6 , 11 , 16 , ...
Qt A
remainder when \(m + n\) are divided by 5.
In all cases, remainder will be 3
Qt B
remainder when \(mn\) is divided by 5
In all cases, remainder will be 2
Qt A > Qt B
Answer A
Can you please elaborate on this? For Quantity A, say m=12 and n=11. 23/5 should give a remainder of 2, since the next closest multiple is 2 away?
