For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B?
1) r < s
2) g > h
OA = C
Students Height
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- BlindVision
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You can pick number for these problems:
Start from statement 2: g > h, no other information is given about r, s and least height.
Answer can be: A, C, E
Statement 1: r < s, let r = 8, s = 10
r = 14 - 6
s = 15 - 5 or 17 - 7
Not sufficient.
combine both the statements and pick numbers satisfying both the answer choices.
r = 8, s = 10, g = 14, h = 12
r = 14 - x1
s = 12 - x2
we know that r < s therefore, x1 is greater than x2
Start from statement 2: g > h, no other information is given about r, s and least height.
Answer can be: A, C, E
Statement 1: r < s, let r = 8, s = 10
r = 14 - 6
s = 15 - 5 or 17 - 7
Not sufficient.
combine both the statements and pick numbers satisfying both the answer choices.
r = 8, s = 10, g = 14, h = 12
r = 14 - x1
s = 12 - x2
we know that r < s therefore, x1 is greater than x2
- BlindVision
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Thanks for the help but I got lost on the combining part. Can you please help me better understand that last part?
P.S. When I combine, I get: r < s < h < g . Is that right?
P.S.S. Maybe I'm not understanding the question stem: Is it asking 'Which of the two classes has the most shortest students'?
P.S. When I combine, I get: r < s < h < g . Is that right?
P.S.S. Maybe I'm not understanding the question stem: Is it asking 'Which of the two classes has the most shortest students'?
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you already have got the individual parts. so lets see what happens when we combine bothBlindVision wrote:Thanks for the help but I got lost on the combining part. Can you please help me better understand that last part?
P.S. When I combine, I get: r < s < h < g . Is that right?
P.S.S. Maybe I'm not understanding the question stem: Is it asking 'Which of the two classes has the most shortest students'?
plug in numbers
let r=15
g=20
so least height in class A is 5
now plug in numbers for B
r<s so lets say s is 16
g>h
so lets say h=19
lest height in B is 3 i.e less than 5
The powers of two are bloody impolite!!
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Ian's post:
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.
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.
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.
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.