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# Average Age of residents of a colony is 38 years with Standard deviati

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Average Age of residents of a colony is 38 years with Standard deviati  [#permalink]

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25 Oct 2016, 07:39
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:27) correct 25% (02:19) wrong based on 52 sessions

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Average Age of residents of a colony is 38 years with Standard deviation of 5 years If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find Minimum values of (X/Y) = ?

A) 38/38
B) 38/43
C) 38/33
D) 28/43
E) 28/35

Source: http://www.GMATinsight.com

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Re: Average Age of residents of a colony is 38 years with Standard deviati  [#permalink]

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25 Oct 2016, 07:47
GMATinsight wrote:
Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
Minimum values of (X/Y) = ?

A) 38/38
B) 38/43
C) 38/33
D) 28/43
E) 28/35

Source: http://www.GMATinsight.com

28<=X<=48

33<=Y<=43

Min(X/Y) = 28/43

IMO D

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Re: Average Age of residents of a colony is 38 years with Standard deviati  [#permalink]

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25 Oct 2016, 08:18
Top Contributor
GMATinsight wrote:
Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
Minimum values of (X/Y) = ?

A) 38/38
B) 38/43
C) 38/33
D) 28/43
E) 28/35

To minimize the value of X/Y, we must MINIMIZE the value of X and MAXIMIZE the value of Y

If Mr.X's age lies within 2 standard deviations from mean, then: 38 - 2(5) < X < 38 + 2(5)
In other words 28 < X < 48
So, the MINIMUM value of X is 28

If Mr.Y's age lies within 1 standard deviations from mean, then: 38 - 1(5) < Y < 38 + 1(5)
In other words 33 < Y < 43
So, the MAXIMUM value of Y is 43

So, the minimum value of X/Y = 28/43

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Re: Average Age of residents of a colony is 38 years with Standard deviati  [#permalink]

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28 Mar 2019, 02:09
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Re: Average Age of residents of a colony is 38 years with Standard deviati   [#permalink] 28 Mar 2019, 02:09
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