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x, y and z are three consecutive integers, such that x < y < z. Which
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17 Aug 2024, 05:16
17 Aug 2024, 05:16
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x, y and z are three consecutive integers, such that \(x < y < z\). Which of the following must be an even integer?
A. \(x – y^{2z}\)
B. \((x^y)^z\)
C. \((x – y)yz\)
D. \(xz^y\)
E. \(y^z(x + y)\)
A. \(x – y^{2z}\)
B. \((x^y)^z\)
C. \((x – y)yz\)
D. \(xz^y\)
E. \(y^z(x + y)\)
Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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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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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
Re: x, y and z are three consecutive integers, such that x < y < z. Which
[#permalink]
28 Aug 2024, 07:03
28 Aug 2024, 07:03
1
Take 2 cases:
1) the order is odd-even-odd and 2) even-odd-even.
For option C:
1) (x-y) is odd (because even - odd = odd) and yz is even (even * odd = even) so (x-y)yz is even.
2) (x-y) is odd and yz is even.
So (x-y)yz is always even.
1) the order is odd-even-odd and 2) even-odd-even.
For option C:
1) (x-y) is odd (because even - odd = odd) and yz is even (even * odd = even) so (x-y)yz is even.
2) (x-y) is odd and yz is even.
So (x-y)yz is always even.
gmatclubot
Re: x, y and z are three consecutive integers, such that x < y < z. Which [#permalink]
28 Aug 2024, 07:03
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