Range

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Range

by danjuma » Sat Dec 04, 2010 10:20 pm
For the students in class A, the range of their heights is r cm and the greatest height is g cm. For the students in class B , the range of their heights is s cm and the greatest height is h cm. Is the least height of the students in class A greater than the least height of the students in class B?

a. r<s

b.g > h
Source: — Data Sufficiency |

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by Rahul@gurome » Sat Dec 04, 2010 10:56 pm
Given: Range of A = r, Greatest of A = g, Range of B = s, Greatest of B = h
Say, least of A = a and least of B = b

r = g - a
s = h - b

The question is whether a > b or not.

Statement 1: r < s
Implies (g - a) < (h - b)
No information about g and h.

Not sufficient.

Statement 2: g > h
Implies (r + a) > (s + b)
No information about r and s.

Not sufficient.

1 & 2 Together: We have information about r, s, g and h. We can easily determine whether a > b or not. In fact from statement 2 (r + a) > (s + b). Now from statement 1, r < s. Thus a must be greater than b.

Sufficient.

The correct answer is C.
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