Find the least value of x which when divided by 3 leaves remainder 1, ... A number when divided by 3 gives a remainder of 1; when divided by 4, gives a remainder of 2; when divided by 5, gives a remainder of 3; and when divided by 6, gives a remainder of 4. Find the smallest such number.
How to solve this question in 1 min?
Any help would be appreciated. :)

Notice that this number is:
-2(mod 3)
-2(mod 4)
-2(mod 5)
-2(mod 6)
Thus, we need to calculate the LCM of 3,4,5,6 and subtract 2. The LCM is 60. Thus, the answer is 58.
