In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 65, what is the greatest possible value of B × A? Choose the correct choice from the following
A) 0	B) 5	C) 10	D) 15	E) 25
You should notice that 65*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --&gt; B*A=0*0= 
<gadget id="calculator">0*0</gadget>
<output>0</output>
0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*2= 
<gadget id="calculator">5*2</gadget>
<output>10</output>
10 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).   Answer: C   !   Please post PS questions in the PS subforum:gmat-problem-solving-ps-140/   Please post DS questions in the DS subforum:gmat-data-sufficiency-ds-141/   No posting of PS/DS questions is allowed in the mainMath forum.   10
<result>C</result>
In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 65, what is the greatest possible value of B × A?