What is more useful when it is broken?

What is the centre of gravity?

What does the following represent?

N N N N N N N

A A A A A A A

C C C C C C C

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

Solve The below Equation:

ALFA + BETA + GAMA = DELTA

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

There are three identical triplets sisters. Demi is the oldest of them all and she always speaks the truth. Diana is the next one who is a liar always. Drew, the youngest of them all speaks both truth and lies randomly.

On a rainy day, a family friend Victor visited them. Since there were starkly identical, he was not able to recognize them. Thus to clarify, he asked one question to each one of them.

He started with the one standing on the left and asked, 'Which sister is in the middle of you three?' She answered, 'That's Demi.'

Then, he asked the one standing in the middle, 'What is your name?' She answered, 'I am Drew.'

Finally, he asked the one standing on the right, 'Who is standing in the middle?' She answered, 'She is Diana.'

Victor was left baffled. He asked the questions three times and received different answers every time.

Can you tell who was who?

Take one out and scratch my head, I am now black but once was red. What am I?

Can you find the dog hidden in a group of pandas?

A man had five children. He had $100 with him to give to his children. He decided to start with the youngest child and then give $2 more than each younger child to his next elder child.

For example, if he gives $x to the youngest child, he will give $(x+2) to the next one, $[(x+2) + 2] to the next one and so on.

Can you find out how much did the youngest one receive?