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x is an integer such that x > 3
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09 Aug 2024, 23:22
09 Aug 2024, 23:22
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Question Stats:
58% (01:25) correct
41% (00:56) wrong based on 17 sessions
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x is an integer such that x > 3
Quantity A |
Quantity B |
number of even factors of 2x |
number of odd factors of 3x |
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Shorter GRE - Preparing for the Quantitative Reasoning Measure
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Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
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Re: x is an integer such that x > 3
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29 Aug 2024, 06:59
29 Aug 2024, 06:59
1
This is an example of where plugging in small values for x might be the fastest method.
Since this problem involves even and odd integers, we need to test both even and odd integers for x.
When x is EVEN:
Using x = 4 as the plug-in value, 2x = 8 and 3x = 12
Quantity A: 8 has 3 even factors (2, 4, and 8)
Quantity B: 12 has 2 odd factors (1 and 3)
Thus, Quantity A is greater when x is EVEN.
When x is ODD:
Using x = 5 as the plug-in value, 2x = 10 and 3x = 15
Quantity A: 10 has 2 even factors (2 and 10)
Quantity B: 15 has 4 odd factors (1, 3, 5 and 15)
Thus, Quantity B is greater when x is ODD.
Since the relationship between Quantity A and B differs depending on whether x is even or odd, the relationship cannot be determined from the info given.
Since this problem involves even and odd integers, we need to test both even and odd integers for x.
When x is EVEN:
Using x = 4 as the plug-in value, 2x = 8 and 3x = 12
Quantity A: 8 has 3 even factors (2, 4, and 8)
Quantity B: 12 has 2 odd factors (1 and 3)
Thus, Quantity A is greater when x is EVEN.
When x is ODD:
Using x = 5 as the plug-in value, 2x = 10 and 3x = 15
Quantity A: 10 has 2 even factors (2 and 10)
Quantity B: 15 has 4 odd factors (1, 3, 5 and 15)
Thus, Quantity B is greater when x is ODD.
Since the relationship between Quantity A and B differs depending on whether x is even or odd, the relationship cannot be determined from the info given.
