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15 Aug 2024, 09:48
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (01:05) correct
0% (00:00) wrong based on 2 sessions
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\(n\) is a positive integer, \(x = 7n + 2,\) and \(y = 6n + 3.\)
Quantity A
The ones digit of \(x + y\)
Quantity B
5
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A
The ones digit of \(x + y\)
Quantity B
5
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
08 Dec 2024, 03:36
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OE
In the question, you are given that \(x = 7n + 2\) and \(y = 6n + 3\). Substituting the given expressions for x and y in Quantity A, you get \(x + y = 13n + 5.\) Using trial and error, you can compare Quantity A, the ones digit of \(13n + 5,\) and Quantity B, 5, by plugging in a few values for the positive integer n.
If \(n = 1,\) then \(x + y = 18\) and the ones digit is 8, which is greater than 5. So in this case Quantity A is greater than Quantity B.
If \(n = 2,\) then \(x + y = 31\) and the ones digit is 1, which is less than 5. So in this case Quantity B is greater than Quantity A.
Since in one case Quantity A is greater than Quantity B, and in the other case Quantity B is greater than Quantity A, you can conclude that the correct answer is Choice D.
In the question, you are given that \(x = 7n + 2\) and \(y = 6n + 3\). Substituting the given expressions for x and y in Quantity A, you get \(x + y = 13n + 5.\) Using trial and error, you can compare Quantity A, the ones digit of \(13n + 5,\) and Quantity B, 5, by plugging in a few values for the positive integer n.
If \(n = 1,\) then \(x + y = 18\) and the ones digit is 8, which is greater than 5. So in this case Quantity A is greater than Quantity B.
If \(n = 2,\) then \(x + y = 31\) and the ones digit is 1, which is less than 5. So in this case Quantity B is greater than Quantity A.
Since in one case Quantity A is greater than Quantity B, and in the other case Quantity B is greater than Quantity A, you can conclude that the correct answer is Choice D.
