GMAT Prep 2

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joymukhi: Junior | Next Rank: 30 Posts; Posts: 28; Joined: Sat May 02, 2009 3:27 pm

by joymukhi » Thu Jun 25, 2009 12:15 am

For Students in Class A, the range of their heights is r centimeters and the greatest height is g centimeters. For students in Class B, the range of their heights is s centimeters and greatest height is h centimeters. Is the least height of students in Class A greater than the least height of students in Class B?

1.) r<s
2.) g>h

Please post OA and explanation

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Source: Beat The GMAT — Data Sufficiency | Thu Jun 25, 2009 12:15 am

anksgupta: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Wed Apr 29, 2009 9:00 am; Thanked: 6 times

by anksgupta » Thu Jun 25, 2009 12:19 am

you can check this here
https://www.beatthegmat.com/students-height-t38839.html

Live n Love GMAT

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Robinmrtha: Senior | Next Rank: 100 Posts; Posts: 91; Joined: Wed Apr 01, 2009 9:53 pm; Thanked: 11 times

by Robinmrtha » Thu Jun 25, 2009 12:23 am

Neither statement is sufficient on its own- clearly we need to know about r, s, g and h here. Together we know:

s > r
g > h

These inequalities are in the same direction, so we can add them:

s+g > r+h
g-r > h-s

So we've shown that the smallest height in class A, which is g-r, is larger than the smallest height in class B, which is h-s. C.

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nitya34: Master | Next Rank: 500 Posts; Posts: 179; Joined: Tue Jan 08, 2008 7:23 pm; Thanked: 11 times; GMAT Score:590

by nitya34 » Thu Jun 25, 2009 2:21 am

A

(g-r),.....................,g

B

(h-s),...................,h

have to show (g-r)>(h-s)
=>(g-h)+ (s-r)>0

hence C it is

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Domnu: Master | Next Rank: 500 Posts; Posts: 385; Joined: Sun May 24, 2009 3:55 pm; Thanked: 11 times; GMAT Score:740

by Domnu » Thu Jun 25, 2009 1:16 pm

Let La be the lowest height of the person in Class A, and Lb be the same for Class B. Then,

s + Lb < r + La ------> La - Lb > r - s > 0

g - La < h - Lb --------> La - Lb > g - h > 0

Since La - Lb > 0, La > Lb always given both conditions.

Have you wondered how you could have found such a treasure? -T

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