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fitzpratik
Posts: 224
28 Nov 2018, 10:01
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:39) correct
32%
(01:34)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
28 Nov 2018, 21:30
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A) x is negative.
Case 1: x = neg y = neg, eg.x = -3, y = -5. Answer would be YES.
Case 2: x = neg y = pos ....but wait if this happens then x cannot be greater than y. Thus, discard case 2.
A is sufficient.
B) case 1: similar like that in A)..yes
Case 2: x = pos y = neg
x = 3 y = -5
This doesn't satisfy our condition. So, No for this case. Therefore, not sufficient.
Hence, A.
Posted from my mobile device
Case 1: x = neg y = neg, eg.x = -3, y = -5. Answer would be YES.
Case 2: x = neg y = pos ....but wait if this happens then x cannot be greater than y. Thus, discard case 2.
A is sufficient.
B) case 1: similar like that in A)..yes
Case 2: x = pos y = neg
x = 3 y = -5
This doesn't satisfy our condition. So, No for this case. Therefore, not sufficient.
Hence, A.
Posted from my mobile device
29 Nov 2018, 17:52
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fitzpratik
Here's another approach....
Given: y < x
Target question: Is 1/x < 1/y?
Statement 1: x is negative
Since we already know that y < x, we can conclude that y is also NEGATIVE
If x and y are both NEGATIVE, then the product xy is POSITIVE
Since xy is POSITIVE, we can safely take the target question,Is 1/x < 1/y?, and multiply both sides by xy.
When we do so, we get the NEW target question: Is y < x?
Since it's given that y < x, the answer to the NEW target question is YES, y IS less than x
Since we can answer the NEW target question with certainty, statement 1 is SUFFICIENT
Statement 2: y is negative
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = -1/3 and y = -1/2. In this case, 1/x = -3 and 1/y = 2. So, the answer to the target question is YES, 1/x is NOT less than 1/y
Case b: x = 1/2 and y = -1/2. In this case, 1/x = 2 and 1/y = -2. So, the answer to the target question is NO, 1/x is NOT less than 1/y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
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