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18 Oct 2023, 01:30
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A
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Difficulty:
45%
(medium)
Question Stats:
57% (01:18) correct
43%
(01:29)
wrong
based on 77
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of m?
(1) |m| = −36/m
(2) 2m+2|m| = 0
(1) |m| = −36/m
(2) 2m+2|m| = 0
19 Oct 2023, 22:06
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From the first condition, we know that M must equal -36 because |M| * - M = -36. so M must be -6
Sufficient
From the second condition, we can move things around such that -|M| = |M|. This means that M is negative or zero, but we don't know the value of it.
Not Sufficient
A
Sufficient
From the second condition, we can move things around such that -|M| = |M|. This means that M is negative or zero, but we don't know the value of it.
Not Sufficient
A
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21 Oct 2023, 03:33
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What is the value of m?
(1) |m| = −36/m.
The left hand side is an absolute value of a number (|m|), so it's non-negative, thus the right hand side (−36/m) also must be non-negative, which means that m must be negative. Now, if m is negative, then |m| = -m, so we'd have -m = -36/m, which gives m = -6. Sufficient.
(2) 2m+2|m| = 0. This transforms to |m| = -m, which implies only that m is negative or 0. Not sufficient.
Answer: A.
(1) |m| = −36/m.
The left hand side is an absolute value of a number (|m|), so it's non-negative, thus the right hand side (−36/m) also must be non-negative, which means that m must be negative. Now, if m is negative, then |m| = -m, so we'd have -m = -36/m, which gives m = -6. Sufficient.
(2) 2m+2|m| = 0. This transforms to |m| = -m, which implies only that m is negative or 0. Not sufficient.
Answer: A.
