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If x is the remainder when a multiple of 4 is divided by 6, and y is t
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19 May 2023, 02:07
19 May 2023, 02:07
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If x is the remainder when a multiple of 4 is divided by 6, and y is the remainder when a multiple of 2 is divided by 3, what is the greatest possible value of x + y ?
A. 2
B. 3
C. 5
D. 6
E. 9
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A. 2
B. 3
C. 5
D. 6
E. 9
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
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Re: If x is the remainder when a multiple of 4 is divided by 6, and y is t
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20 May 2023, 11:18
20 May 2023, 11:18
1
Expert Reply
To find the greatest possible value of x + y, we need to determine the maximum remainders when dividing multiples of 4 by 6 and multiples of 2 by 3.
When a multiple of 4 is divided by 6, the remainders can be 0, 2, or 4.
When a multiple of 2 is divided by 3, the remainders can be 0 or 2.
To maximize the sum of the remainders, we choose the highest possible remainders: 4 for x and 2 for y.
Therefore, the greatest possible value of x + y is 4 + 2 = 6.
The correct answer is D. 6.
When a multiple of 4 is divided by 6, the remainders can be 0, 2, or 4.
When a multiple of 2 is divided by 3, the remainders can be 0 or 2.
To maximize the sum of the remainders, we choose the highest possible remainders: 4 for x and 2 for y.
Therefore, the greatest possible value of x + y is 4 + 2 = 6.
The correct answer is D. 6.
gmatclubot
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