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Set Q contains 20 positive integer values. The smallest valu
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01 Feb 2020, 09:21
01 Feb 2020, 09:21
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Set Q contains 20 positive integer values. The smallest value in Set Q is a single-digit value and the largest value in Set Q is a three-digit value. What are the possible values for the range of Set Q?
Indicate all that apply.
[A] 75
[B] 90
[C] 100
[D] 275
[E] 555
[F] 995
[G] 1000
Indicate all that apply.
[A] 75
[B] 90
[C] 100
[D] 275
[E] 555
[F] 995
[G] 1000
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Official Answer
C,D,E,F
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Set Q contains 20 positive integer values. The smallest valu
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01 Feb 2020, 09:40
01 Feb 2020, 09:40
3
huda wrote:
Set Q contains 20 positive integer values. The smallest value in Set Q is a single-digit value and the largest value in Set Q is a three-digit value. What are the possible values for the range of Set Q? Indicate all that apply.
[A] 75
[B] 90
[C] 100
[D] 275
[E] 555
[F] 995
[G] 1000
[A] 75
[B] 90
[C] 100
[D] 275
[E] 555
[F] 995
[G] 1000
Let's determine the MAXIMUM and MINIMUM possible ranges
MAXIMUM possible range
The range is maximized when 999 is the largest value in Set Q, and when 1 is the smallest possible value.
So the maximum possible range = 999 - 1 = 998
MINIMUM possible range
The range is minimized when 100 is the largest value in Set Q, and when 9 is the smallest possible value.
So the minimum possible range = 100 - 9 = 91
So the range must be greater than or equal to 91 AND less than or equal to 998
So the range COULD be 100, 275, 555 or 995
Answer: C, D, E, F
Cheers,
Brent
Re: Set Q contains 20 positive integer values. The smallest valu
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28 Jan 2022, 02:09
28 Jan 2022, 02:09
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
