Two runners start at opposite ends of a circular track at the same time and run continuously. One completes a lap in 4 minutes, the other in 6 minutes. In 24 minutes, how many times do they meet?
Two trains start from opposite ends of a straight track at the same time. Both take 8 minutes to cross. If they continue back and forth without stopping for 48 minutes, how many times do they pass each other?
A rectangle has integer side lengths and a perimeter of 20. How many such rectangles exist?
A fair coin is flipped 6 times. How many outcomes have more heads than tails?
How many 4-digit numbers have digits in non-decreasing order?
What is the smallest number greater than 100 that is the sum of four consecutive integers?
A number game starts at 1. You may either double the number or add 3. Is it possible to reach 201?
The minute hand and second hand of a clock move continuously. How many times do they overlap in 1 hour?
A chessboard has two opposite corners removed. Can it be tiled by dominoes? Each domino covers 2 squares
What is the smallest number greater than 50 that can be written as the sum of three consecutive integers?