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.