What does this rebus means ?

PROG WORKRESS

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

You walk into a room and see a bed. On the bed, there are two dogs, five cats, a giraffe, six cows, and a goose. There are also three doves flying above the bed. How many legs are on the floor?

What is harder to catch the faster you run?

Which five letter word can be added at the end of below word to form a
valid word?

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What am I?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

You have to put a letter on the following to make it a meaningful word. The only challenge is that you can't use 'E'.

S E Q U E N C _

Spot what is wrong here in below Picture?

There were three women in all the swimming costumes!
One was happy and the other two were sad!
The happy one was crying and the sad ones were smiling.
Why was this?