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12 Apr 2023, 07:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (02:05) correct
47%
(02:08)
wrong
based on 55
sessions
History
Date
Time
Result
Not Attempted Yet
12 Apr 2023, 08:19
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|m-n| = the distance between m and n
|m| = the distance between m and 0
Question stem, in words:
Is x closer to y than to z?
Statement 1: y is closer to 0 than is z
Statement 2: x is less than 0
Case 1:
x...y...0..........z
Here, y is closer to 0 than is z, and x is less than 0.
In this case, x is closer to y than to z, so the answer to the question stem is YES.
Case 2:
x...z..........0...y
Here, y is closer to 0 than is z, and x is less than 0.
In this case, x is closer to z than to y, so the answer to the question stem is NO.
Since the answer is YES in Case 1 but NO in Case 2, the two statements combined are INSUFFICIENT.
|m| = the distance between m and 0
Bunuel
Question stem, in words:
Is x closer to y than to z?
Statement 1: y is closer to 0 than is z
Statement 2: x is less than 0
Case 1:
x...y...0..........z
Here, y is closer to 0 than is z, and x is less than 0.
In this case, x is closer to y than to z, so the answer to the question stem is YES.
Case 2:
x...z..........0...y
Here, y is closer to 0 than is z, and x is less than 0.
In this case, x is closer to z than to y, so the answer to the question stem is NO.
Since the answer is YES in Case 1 but NO in Case 2, the two statements combined are INSUFFICIENT.
12 Apr 2023, 10:23
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Bunuel
Question
Is the distance between x and y less than the distance between x and z ?
Statement 1
(1) |y| < |z|
The distance between 0 and y is less than the distance between 0 and z.
However, we do not know the position of x. Hence, the statement alone is not sufficient. We can eliminate A and D.
Statement 2
(2) x < 0
No information is provided on the position of x and y, hence the statement alone is not sufficient.
Combined
The statements combined are not sufficient as well the relative position of x, y and z cannot be deduced.
We can have the following cases :
Case 1
--- x --- y ------- 0 -- z ---
Is |x - y| < |x - z|? Yes
--- x --- 0 -- z ------ y ---
Is |x - y| < |x - z|? No
As we have conflicting answers the statements combined don't help either.
Option E
