1. The following equation is wrong: 101 - 102 = 1
    Move one numeral to make it correct.
    Move one line to make it correct. 

Ans: Move the numeral 2 half a line up to achieve 101-10² = 1
Move one of the lines that makes the "=" over to the "-" to make: 101 = 102 - 1

2. Two boys wish to cross a river. The only way to get to the other side is by boat, but that boat can only take one boy at a time. The boat cannot return on its own, there are no ropes or similar tricks, yet both boys manage to cross using the boat.

How?

Ans:

The boys start on opposite sides of the river.