Why Wine Glass Stem is so long?

A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
1. Ajit
2. Pankaj
3. Ganpat
4. Deenu
5. Hariya

The Detective was instantly able to find the murderer.
Can you?

What word does this rebus represent?

meta meta
meta meta

what does the below math rebus puzzle mean?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

John is 45 years older than his son Jacob. If you find similarities between their ages, both of their ages contain prime numbers as the digits. Also, John's age is the reverse of Jacob's age.

Can you find their ages?

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

Quickly Solve this riddle

7 - 4 + 3 * 0 + 1 = ?

You need to move three matchsticks to form three squares. Can you do it?

What does the below image rebus riddle means ?