Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12, and 16 is 4.

- 137
- 140
- 172
- 1361

**Answer**

LCM (7,12,16) = 48*7 = 336

The numbers which will leave remainder 4 will be {336+4, 336*2 +4, 336*3 +4,...}

The largest such number less than or equal to 1856 is 336*5+4 or 1684

To obtain this you need to subtract 172 from 1856.

**The correct option is C.**