When we divide by $$2$$, $$3$$, the remainder is $$1$$. Hence, if we first subtract $$1$$, the result will be divisible by $$2$$, $$3$$.  $2\times3+1=7$ 
Which of the following numbers leaves a remainder of $$1$$ when divided by $$2$$ and $$3$$? 
1) $$6$$ 
2) $$5$$ 
3) $$11$$ 
4) $$7$$ 