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21 Oct 2010, 02:13
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
69% (00:43) correct
31%
(00:37)
wrong
based on 191
sessions
History
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Not Attempted Yet
21 Oct 2010, 02:25
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1. ca > cb
We do not know the sign of variable c. It could be positive or negative.
If c is +ve then a > b
If c is -ve then a < b.
Not sufficient.
2. 3a > 3b
diving by 3 we get, a > b
Sufficient
Hence, B is the correct answer.
We do not know the sign of variable c. It could be positive or negative.
If c is +ve then a > b
If c is -ve then a < b.
Not sufficient.
2. 3a > 3b
diving by 3 we get, a > b
Sufficient
Hence, B is the correct answer.
31 Oct 2018, 06:56
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prab
Target question: Is a > b ?
Statement 1: ca > cb
The temptation here is to divide both sides by c to get a > b, but this approach has a major flaw, since we don't know whether c is POSITIVE or NEGATIVE
If c is NEGATIVE, then we must REVERSE the direction of the inequality after dividing by c (see the video below for more on this)
Alternatively, we can demonstrate this by examining some values of a, b and c that satisfy statement 1:
Case a: a = 1, b = 0 and c = 1. In this case, ca > cb becomes (1)(1) > (1)(0), which is true. Here, the answer to the target question is YES, it is the case that a > b
Case b: a = 0, b = 1 and c = -1. In this case, ca > cb becomes (-1)(0) > (-1)(1), which is true. Here, the answer to the target question is NO, it is NOT the case that a > b
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 3a > 3b
Since 3 is POSITIVE, we can safely divide both sides of the inequality by 3 to get: a > b
So, the answer to the target question is YES, it is the case that a > b
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
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