mnaveed wrote:
\(1<s<t<u\)
Quantity A |
Quantity B |
(\(\frac{1}{s})+(\frac{1}{t})+(\frac{1}{u}\)) |
1 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Since s, t and u are each greater than 1, we know that 1/s, 1/t, and 1/u will each be less than one.
At this point we might check some EXTREME values.
We'll test values of s, t and u that are just a little bit greater than 1, and we'll test values that are much greater than 1.
For example, if s = 1.01, t = 1.02, and u = 1.03, we know that 1/s, 1/t and 1/u are each just a little bit less than 1.
This means 1/s + 1/t + 1/u will be a little bit less than 3, which means
Quantity A is greater Now let's test test values that are much greater than 1.
For example, if s = 100,001, t = 100,002, and u = 100,003, we know that 1/s, 1/t and 1/u are each close to zero.
This means, 1/s + 1/t + 1/u will be close to zero, which means
Quantity B is greaterAnswer: D