In a school where there are more than 100 students when they are grouped into 12 and 16, always 6 students remain ungrouped. What would be the minimum number of new students to be registered to this school such that when they are grouped into 20 then none of the stundents remains ungrouped ?
Choices:  A) 6  B) 8  C) 9  D) 10  E) 12
S=12a+6=16b+6   6a = 8b --&gt; for S&gt;100 min(a,b) = (12,9)   then number of stundent in school --&gt; 12*12 +6 = 150   20k  --  12*12 +6= 
<gadget id="calculator"> --  12*12 +6</gadget>
<output>150</output>
150   20k= 150 + x so that none will be ungrouped --&gt; min( k) = 8 then   20*8 =150 + x   x = 10 new students to be registered   ANSWER: 10
<result>D</result>
In a school where there are more than 100 students when they are grouped into 12 and 16, always 6 students remain ungrouped. What would be the minimum number of new students to be registered to this school such that when they are grouped into 20 then none of the stundents remains ungrouped ?