How many triangles are there on the puzzle below?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

What word is pronounced the same if you take away four of its five letters?

I am white when I am dirty, and black when I am clean. What am I?

Rahul decided to meet Simran so he boards a local train from Bombay station. Just after the station, there is a 1km long tunnel. The train starts and is now accelerating. Rahul is a claustrophobic guy, so what is the best position for him to sit?

What is common among 11, 69, and 88?

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

Spot the cat in the picture below