Elementary arithmetics

9000076002

Level: 
B
In the following list identify a set of a numbers which give remainder \(2\) after division by \(5\), i.e. the numbers can be written in the form \(5k + 2\), \(k\in \mathbb{N}_{0}\).
\(37,\ 42,\ 102\)
\(5,\ 10,\ 15\)
\(17,\ 27,\ 100\)
\(29,\ 47,\ 60\)
\(41,\ 55,\ 62\)

9000076003

Level: 
B
In the following list identify a set of a numbers which give remainder \(1\) after division by \(11\), i.e. the numbers can be written in the form \(11k + 1\), \(k\in \mathbb{N}_{0}\).
\(56,\ 122,\ 221\)
\(21,\ 32,\ 48\)
\(18,\ 88,\ 115\)
\(34,\ 55,\ 70\)
\(45,\ 56,\ 65\)