Susan (circle), Ahmad (triangle), and Sam (star) are each walking in an octagonal park on a Sunday morning. At 10:00, the following figure depicts their positions. Susan moves 3 vertices clockwise in each hour, Ahmad moves 1 vertex clockwise each hour, while Sam moves 2 vertices anticlockwise each hour. Will all three ever meet on a vertex at the same instant?

48 competitors entered the men's 100 metres freestyle event at this year's Muscan Swimming Championships. They were divided randomly into 6 heats, with the fastest 16 qualifying for the semi-finals.These are the results of the 6 heats.From which heat was there only one qualifier for the semi-finals?

A ballet dancer of mass 80 kg and a wingspan of 1m is executing a spin. She then folds her arms and brings them to within 20cm from the central axis of her body. If she was initially making 3 rotations per second, how many does she make now?

A ballet dancer of mass 80 kg and a wingspan of 80cm is executing a spin. She then folds her arms and brings them to within 20 cm from the central axis of her body. If she was initially making 3 rotations per second, how many does she make now?

A bar magnet and a solenoid are kept beside each other. In which of the following cases current will not be produced?

A bar magnet and a solenoid are kept beside each other. In which of the following cases current will not be produced?