BTGModeratorVI wrote: ↑Mon Jul 13, 2020 7:56 am
A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?
(1) x = 600
(2) 100 < y < 200
Answer:
A
Source: Official Guide
Target question: Can the station process 500 calls?
This is a good candidate for
rephrasing the target question.
Each INDIVIDUAL processor can process y calls.
So, 2 processors can process 2y calls.
3 processors can process 3y calls....
And x processors can process xy calls.
We can write...
REPHRASED target question: Is xy ≥ 500?
Statement 1: x = 600
Since we're told that x and y are POSITIVE INTEGERS, the smallest possible value of y is 1
Even when y = 1, xy =(600)(1) = 600. So, the value of xy is AT LEAST 600.
In other words,
xy ≥ 500
Since we can answer the
REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: 100 < y < 200
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 1 and y = 101. in this case, xy = (1)(101) = 101. In other words,
xy < 500
Case b: x = 10 and y = 101. in this case, xy = (10)(101) = 1010. In other words,
xy ≥ 500
Since we cannot answer the
REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
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