For the students in class A the range of their hights is r centimeters and the greatest hight is g centimenters. Class B´s range of hights is s centimeters and greatest hight is h centimeters. Is the least hight of the students in class A greater than that of class B?
1. r < s
2. g> h
OA follows.
Have I missed a formula?? I would not know how to solve this...
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smallsorrow
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csandeepreddy
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dragonxlam
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Well basically I think this is a good question to plug in the values.
The equations look something like this:
g-r = Lowest Height of kid in Group A
h-s = Lowest Height of kid in Group B
Looking at 1) r < s alone does not tell you anything since you don't know what g and h are to come to a conclusion.
Getting 2) g > h gives you more info and enables you to plug in some numbers.
g= 10
h=9
r=4
s=3
So Lowest height is 6 in group A but it is also the same in group B.
You can plug in more numbers so that group B is shorter so in this case the answer is E.
The equations look something like this:
g-r = Lowest Height of kid in Group A
h-s = Lowest Height of kid in Group B
Looking at 1) r < s alone does not tell you anything since you don't know what g and h are to come to a conclusion.
Getting 2) g > h gives you more info and enables you to plug in some numbers.
g= 10
h=9
r=4
s=3
So Lowest height is 6 in group A but it is also the same in group B.
You can plug in more numbers so that group B is shorter so in this case the answer is E.
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smallsorrow
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smallsorrow
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dragonxiam- when you chose numbers here, you made r larger than s, when it should be smaller than s, which is why you've arrived at the wrong answer.smallsorrow wrote:For the students in class A the range of their hights is r centimeters and the greatest hight is g centimenters. Class B´s range of hights is s centimeters and greatest hight is h centimeters. Is the least hight of the students in class A greater than that of class B?
1. r < s
2. g> h
OA follows.
Have I missed a formula?? I would not know how to solve this...
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.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com
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