Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 10 is 4?	Select
A) 168 B) 172 C) 182 D) 140 E) 160
First we need to figure out what numbers are exactly divisible by 7,12,10. This will be the set {LCM,LCMx2,LCMx3,...}   LCM(7,12,10) = 42*10= 
<gadget id="calculator">42*10</gadget>
<output>420</output>
420   The numbers which will leave remainder 4 will be {420+4, 420x2 +4, ,...}   The largest such number less than or equal to 1856 is 420*4+4 or 1684   To obtain this you need to subtract 172.   172
<result>B</result>
Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 10 is 4?