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When x is divided by 9, the remainder is 4.
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19 Jan 2022, 07:15
19 Jan 2022, 07:15
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When x is divided by 9, the remainder is 4.
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
see more GRE Tips and Tricks - UPDATED 01/18/2022
Quantity A |
Quantity B |
The remainder when 3x is divided by 9 |
4 |
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
see more GRE Tips and Tricks - UPDATED 01/18/2022
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Re: When x is divided by 9, the remainder is 4.
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19 Jan 2022, 07:33
19 Jan 2022, 07:33
1
Carcass wrote:
When x is divided by 9, the remainder is 4.
Quantity A |
Quantity B |
The remainder when 3x is divided by 9 |
4 |
For this question we should avoid the temptation of testing values, since that strategy only yields definitive results when the correct answer is D. Otherwise, we're left wondering whether we've tested enough values.
Given: When x is divided by 9, the remainder is 4.
In other words, x is 4 greater than some of multiple of 9.
So we can write: x = 9k + 4 (for some integer k)
So, 3x = 3(9k + 4) = 27k + 12
Now recognize that we can take the expression 27k + 12 and rewrite it as follows...
27k + 12 = 27k + 9 + 3 = 9(3k + 1) + 3
Since 9(3k + 1) is a multiple of 9, it must also be true that 9(3k + 1) + 3 is 3 greater than some multiple of 9.
So, if we take 9(3k + 1) + 3 and divide it by 9, the remainder will be 3.
So we get:
QUANTITY A: 3
QUANTITY B: 4
Answer: B
gmatclubot
Re: When x is divided by 9, the remainder is 4. [#permalink]
19 Jan 2022, 07:33
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