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18 Jun 2008, 11:05
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can u please explain the answer
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18 Jun 2008, 11:15
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It's A. Here is the explanation:
1) z is closer to 10 than it is to x
It means two possibilities for z:
i. z is between x and 10, but closer to 10 => (x+10)/2 < z
ii. z is greater than 10 => (x+10)/2 <z
So, using this statement, we can answer the question => 1) is sufficient
2) z=5x
Not sufficient. Let’s consider two examples:
Let x=2 => z=10. Average of 2 and 10 is 6, so z is greater than the average.
Let x=0.001 (smth. really small) => z=0.005. Average of 0.001 and 10 is slightly greater than 5, so clearly it is greater than z.
Quote:
1) z is closer to 10 than it is to x
It means two possibilities for z:
i. z is between x and 10, but closer to 10 => (x+10)/2 < z
ii. z is greater than 10 => (x+10)/2 <z
So, using this statement, we can answer the question => 1) is sufficient
2) z=5x
Not sufficient. Let’s consider two examples:
Let x=2 => z=10. Average of 2 and 10 is 6, so z is greater than the average.
Let x=0.001 (smth. really small) => z=0.005. Average of 0.001 and 10 is slightly greater than 5, so clearly it is greater than z.
18 Jun 2008, 13:44
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From 1. You can understand that z is not the average. Since, if it were the average, it would be right in the middle on the number line.
