Please solve this DS question & clarify the below doubt

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Bhanu Prakash

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Feb 18, 2011, 2:09:29 AM2/18/11

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Is the product of $[m]A[/m]$ and $[m]B[/m]$ equal to 1?

$[m]A * B * A = A[/m]$
$[m]B * A * B = B[/m]$

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

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Also, in DS question, if we get a common answer from two , option should we select the answer as C?

For example, from (1), the answer comes 3 & 4
From statement (2), the answer comes 4 & 8.

Since, 4 is a common answer, so can the answer for a DS question be C??

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