I am quite hot but become too cold if you remove the first two letters. What am I?

I can turn polar bears white.
I can make anyone dance.
I can make everyone cry
I can make your hands clap
I can make you thin.
I can make you smile.
I can make you smile

Can you guess the riddle?

I’m tall when I’m young, and I’m short when I’m old. What am I?

Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

what does the below rebus means?

Next Number in the Series,

5, 16, 49, 104, ?

Look at the picture and find out which square is not linked with any of the other squares.

Which word is least like the others? Third, fourth, fifth, sixth, seventh, eighth, ninth?

There are two beautiful yet remote islands in the South Pacific. The Islanders born on one island always tell the truth, and the Islanders from the other island always lie.
You are on one of the islands and meet three Islanders. You ask the first which island they are from in the most appropriate Polynesian tongue, and he indicates that the other two Islanders are from the same island. You ask the second Islander the same question, and he also indicates that the other two Islanders are from the same island.
Can you guess what the third Islander will answer to the same question?

What number comes next in this sequence:
7 8 5 5 3 4 4 _