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QOTD # 2 x is an integer and 23 < x < 27.
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12 Sep 2016, 07:16
12 Sep 2016, 07:16
Expert Reply
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Question Stats:
85% (00:37) correct
14% (00:25) wrong based on 161 sessions
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x is an integer and 23 < x < 27.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The median of the five integers 23,24,26,27 and x |
25 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Practice Questions
Question: 2
Page: 202
Question: 2
Page: 202
Re: QOTD # 2 x is an integer and 23 < x < 27.
[#permalink]
15 Jan 2019, 16:29
15 Jan 2019, 16:29
1
Expert Reply
Explanation
Let's test some EXTREME values of x
If x is an integer and 23 < x < 27, then 24 is the smallest possible value of x, and 26 is the biggest possible value of x.
Let's test each case.
case i: x = 24
The set becomes {23, 24, 24, 26, 27}
In this case the median is 24
We get:
QUANTITY A: 24
QUANTITY B: 25
Quantity B is greater
case ii: x = 26
The set becomes {23, 24, 26, 26, 27}
In this case the median is 26
We get:
QUANTITY A: 26
QUANTITY B: 25
Quantity A is greater
Answer: D
RELATED VIDEOS FROM OUR COURSE
_________________
Let's test some EXTREME values of x
If x is an integer and 23 < x < 27, then 24 is the smallest possible value of x, and 26 is the biggest possible value of x.
Let's test each case.
case i: x = 24
The set becomes {23, 24, 24, 26, 27}
In this case the median is 24
We get:
QUANTITY A: 24
QUANTITY B: 25
Quantity B is greater
case ii: x = 26
The set becomes {23, 24, 26, 26, 27}
In this case the median is 26
We get:
QUANTITY A: 26
QUANTITY B: 25
Quantity A is greater
Answer: D
RELATED VIDEOS FROM OUR COURSE
_________________
Re: QOTD # 2 x is an integer and 23 < x < 27.
[#permalink]
17 Sep 2021, 23:15
17 Sep 2021, 23:15
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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.
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