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

A few friends are enjoying their sea voyage in a boat full of apples. On the way, they felt hungry and thus decided to eat the apples. Together, they ate two dozen of apples. When they have eaten the apples, will there be any change in the water level?

As shown in the image, the nine Dogs are square fenced. By constructing just two square fences can you make sure that two Dogs cannot meet each other without crossing the fence?

Can you identify the famous TV character from the rebus below?

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

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

A man escapes from jail using help from his girlfriend. The investigators suspect four girls of being the man's girlfriend.

Out of those four girls, one is his girlfriend who is lying. Two of the girls are completely innocent and are speaking the truth. One of the girls is the man's sister who is helping the girlfriend lie. Following are the statements from all four of them:

Ariana: "Myrna is his girlfriend."
Jane: "Angelina is lying."
Angelina: "Ariana is lying."
Myrna: "Jane is not his sister."

Can you find out who is the man's sister among them?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Railroad Crossing, look out for the cars. Can you spell that, without any R's ?

Count the squares in the matchstick puzzle below?