General Riddles

We are 3 friends. Our product and our sum always give the same answer. Who are we?
1, 2, 3.

Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 9 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
90 Explanation: Sum = (n x n) + n Hence, 9 x 9 = 81 + 9 = 90

Tear one off and scratch my head what was red is black instead.
A matchstick.

I am so fragile that even if anybody says my name I break. Who am I?

Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives the bellboy $5 to return to the guests. On the way to the room the bellboy reasons that $5 would be difficult to split among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totaling $27. The bellboy has another $2, adding up to $29. Where is the remaining dollar?
This is a nice nonsense. Each guest paid $9 because they gave $30 and they were given back $3. The manager got $25 and the difference ($2) has the bellboy. So it is nonsense to add the $2 to the $27, since the bellboy kept the $2.

Replace one letter in each step to change the word COLD to its opposite. Each step has to be a legitimate word. COLD ? ? ? ?
WARM Explanation: COLD CORD WORD WORM WARM

I run around a house but I don't move. Who am I?

A calendar year has how many seconds?
12 (2nd January, 2nd February, 2nd March.....)

When I am open I am U-shaped but when I am closed I am V-shaped. Who am I?
Umbrella

Look at me. I can bring a smile to your face, a tear to your eye, or even a thought to your mind. But, I can't be seen. What am I?
Memories

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