If a rational number r satisfies 0 < r < 1, which one is the minimum among the following choices?

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Thu Aug 06, 2020 2:38 am

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[GMAT math practice question]

If a rational number r satisfies 0 < r < 1, which one is the minimum among the following choices?

A. r
B. -r
C. -1/r
D. -r^2
E. -1/r^2

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gmatter923: Newbie | Next Rank: 10 Posts; Posts: 2; Joined: Thu Aug 06, 2020 10:44 am

Re: If a rational number r satisfies 0 < r < 1, which one is the minimum among the following choices?

by gmatter923 » Thu Aug 06, 2020 11:15 am

Max@Math Revolution wrote: ↑
Thu Aug 06, 2020 2:38 am
[GMAT math practice question]

If a rational number r satisfies 0 < r < 1, which one is the minimum among the following choices?

A. r
B. -r
C. -1/r
D. -r^2
E. -1/r^2

IS IT E?

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

Re: If a rational number r satisfies 0 < r < 1, which one is the minimum among the following choices?

by Max@Math Revolution » Sun Aug 09, 2020 11:03 pm

=>
We can substitute in a number satisfying the condition.
Assume r = 1/2.
Then -r = -1/2, -1/r = -2, -r^2 = -1/4 and -1/r^2 = -4
Thus -1/r^2 = -4 is the minimum number.

Therefore, E is the correct answer.

Answer: E

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