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28 Jan 2019, 00:36
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Difficulty:
85%
(hard)
Question Stats:
33% (01:43) correct
67%
(01:47)
wrong
based on 75
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If x and y are non-zero numbers such that x > y, which of the following is always true?
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
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KanishkM
Joined: 09 Mar 2018
Last visit: 18 Dec 2021
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28 Jan 2019, 09:59
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4d
If x and y are non-zero numbers such that x > y, which of the following is always true?
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
IMO D
Just test values, Given x > y
If x and y are non-zero numbers
Test values : 2> 1 or -1 > -2
A) \(\frac{1}{x} < \frac{1}{y}\), To avoid any confusion, always do this.
\(\frac{1}{y} > \frac{1}{x}\), this works for me
C1: 1 > 0.5, Yes
C2: -1 > -0.5 No
B) \(\frac{x}{y} > 1\)
C1: 2 > 1 Yes
C2: 0.5 > 1 No
C) \(|x| > |y|\)
This will give multiple values
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\), same here as well
\(\frac{1}{x^2y} > \frac{1}{xy^2}\)
For any set of values, Here i am always getting a No.
E) \(\frac{x}{y} < \frac{y}{x}\)[/quote], same here as well
\(\frac{y}{x} > \frac{x}{y}\)[/quote]
Here you can get a Yes and a No
AlN
Joined: 02 Jan 2017
Last visit: 19 Dec 2023
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Schools: Oxford "21
30 Jan 2019, 03:55
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4d
If x and y are non-zero numbers such that x > y, which of the following is always true?
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
Can someone tell me why C is wrong
Got it! 
