A positive integer, when divided by 6 gives the remainder 2, and when divided by 8 gives the remainder 4. What is the remainder when the integer is divided by 48?
. Select:	A) 0	B) Between 1 and 6, inclusive	C) Between 7 and 12, inclusive	D) Between 13 and 19, inclusive	E) Greater than or equal to 20
Given number = 6n+2 = 8m+4   Start 6n+2 --&gt; 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68....   Of these only 20 and 68 fit the description 8m+4.   In both cases the remainder when divided by 48 is 20.   So answer has to be Greater than or equal to 20.6 +2= 
<gadget id="calculator">6 +2</gadget>
<output>8</output>
8m+4   Start 6n+2 --&gt; 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68....   Of these only 20 and 68 fit the description 8m+4.   In both cases the remainder when divided by 48 is 20.   So answer has to be Greater than or equal to 20.
<result>E</result>
A positive integer, when divided by 6 gives the remainder 2, and when divided by 8 gives the remainder 4. What is the remainder when the integer is divided by 48?
.