A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6. What is the smallest such number?
Maybe 62 ?
thanks
LCM of 3, 4, 5, and 6 =10*2*3=60. Then, add 2 for the remainder to get 60+2=62.
You can also use modular arithmetic.
+142 
