In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?

Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

Our product and our sum always give the same answer. Who are we?

If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?

One absent-minded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he travelled on foot to his friend's place a few miles down the straight desert road. He stayed at his friend's house for the night and when he came back home, he knew how to set his clock. How did he know?

In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
Note: Army comprised of 1 king, 1 queen, 2 rooks, 2 bishops, 2 knights, and 8 pawns.

You see me once in June, twice in November, and not at all in May. What am I?

I have branches, but no fruit, trunk or leaves. What am I?

A man calls his dog from the opposite side of a river. The dog crosses the river without a bridge or a boat and manages to not get wet. How is this possible?

In the image given, you can find several triangles. Can you count them all?