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15 Aug 2013, 02:22
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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% (01:42) correct
32%
(02:11)
wrong
based on 355
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If ab > 0, does (a - 2)(b - 2) = 4 ?
(1) 2a + 2b = ab
(2) a = b
(1) 2a + 2b = ab
(2) a = b
I don't agree with OA here. Experts can you please confirm whether the OA is correct.
Reasoning for 2nd statement will be appreciated
Reasoning for 2nd statement will be appreciated
blueseas
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15 Aug 2013, 02:36
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mridulparashar1
\(ab > 0\)
MEANS\(a,b\) have same signs and \(a,b\) is not equal to zero.
(1)\(2a + 2b = ab\)
\(2a+2b-ab=0\)
subtracting 4 from both sides
\(2a-ab-4+2b=-4\)
\(a(2-b)-2(2-b)=-4\)
\((a-2)(2-b)=-4\)
or
\((a-2)(b-2)=4\)
sufficient.
(2) \(a = b\)
let say \(a=b=2\) then \((a-2)(b-2) = 0\).....NO
let\(a=b=4\) then\((a-2)(b-2) = 4\).....YES
not sufficient
hence A
15 Aug 2013, 03:45
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If ab > 0, does (a - 2)(b - 2) = 4 ?
Does \((a - 2)(b - 2) = 4\)? Or: does \(ab-2a-2b+4=4\) --> does \(2a + 2b = ab\)?
(1) 2a + 2b = ab. Directly gives an YES answer to the question. Sufficient.
(2) a = b. The questions becomes: is \(2a+2a=a^2\)? --> is \(4a=a^2\)? --> is \(a=4\)? (discard a=0, since we know that \(a\neq{0}\) from ab>0). Since we don't know whether \(a=4\), then the statement is not sufficient.
Answer: A.
Hope it's clear.
Does \((a - 2)(b - 2) = 4\)? Or: does \(ab-2a-2b+4=4\) --> does \(2a + 2b = ab\)?
(1) 2a + 2b = ab. Directly gives an YES answer to the question. Sufficient.
(2) a = b. The questions becomes: is \(2a+2a=a^2\)? --> is \(4a=a^2\)? --> is \(a=4\)? (discard a=0, since we know that \(a\neq{0}\) from ab>0). Since we don't know whether \(a=4\), then the statement is not sufficient.
Answer: A.
Hope it's clear.
