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If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
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27 May 2021, 21:03
27 May 2021, 21:03
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41% (01:51) correct
58% (01:46) wrong based on 51 sessions
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If \(x^{3.5} > y^{2.5 }> z^{1.5}\), then which of the following cannot be true?
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
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29 May 2021, 02:39
29 May 2021, 02:39
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GeminiHeat wrote:
If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
\(x^{3.5} > y^{2.5} > z^{1.5}\)
\(x^{\frac{7}{2}} > y^{\frac{5}{2}} > z^{\frac{3}{2}}\)
\(\sqrt{x}^7 > \sqrt{y}^5 > \sqrt{z}^3\)
Since, \(\sqrt{x}, \sqrt{y}\), and \(\sqrt{z}\) cannot be negative, \(x^7 < y^5 < z^3\) cannot be true
Hence, option D
General Discussion
Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
[#permalink]
26 Nov 2025, 09:32
26 Nov 2025, 09:32
How do we check for all the options ?
