If the product 48^64 × 9x2 is divisible by 12, then what is the value of x? Answers
A) 1
B) 2
C) 3
D) 4
E) 5
4864 × 9a2 is divisible by 12   =&gt; 4864 × 9a2 is divisible by 3   and 4864 × 9a2 is divisible by 4   4864 is divisible by 4 because number formed by the last two digits is 64 which is divisible by 4. Hence 4864 × 9a2 will also be divisible by 4   4864 is not divisible by 3 (because   4 + 8 + 6 + 4= 
<gadget id="calculator">  4 + 8 + 6 + 4</gadget>
<output>22</output>
22 which is not divisible by 3). Hence 9a2 must be divisible by 3 because 48^64 × 9x2 is divisible by 3=&gt; 9 + x + 2 is divisible by 3   =&gt; 11 + a is divisible by 3   Hence a can be 1 or 4 or 7 such that 11 + a is divisible by 3   So, from the given choices, 1 is the answer.   1
<result>A</result>
If the product 48^64 × 9x2 is divisible by 12, then what is the value of x?