When monkey rotate the gear, which mark will be hit 1 or 2 ?

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

Can you find the number?

Here is a conversation between a couple who both are software professionals.

Husband: Hey! What is your date of birth?
Wife Replied Angrily: It is 591062400
Husband after doing some calculations replied, "Got It".

What is the DOB of the wife?

What is the Surname of Barbie Doll?

I have a mouth but I don't eat.
I have a bank but have no money.
I have a bed but i dont sleep.
I wave but have no hands.

Who Am I ?

John bought 150 chocolates but he misplaced some of them. His Father asked him how many chocolates were misplaced.
He gave the following answer to him:
If you count in pairs, one remains
If you count in threes, two remain
If you count in fours, three remain
If you count in fives, four remain
If you count in sixes, five remain
If you count in sevens, no chocolate remains.

Can you analyze the statements and tell us how many chocolates were lost?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

As you can see that fifteen matches have been used to form an arrangement. What you have to do is remove any six of them to make them ten.

If you’ve got me, you want to share me; if you share me, you haven’t kept me. What am I?

Two prisoners Jack and Jill are locked in a cell.
There is open window approx 40 feet above the ground of the cell.
They are never able to reach there.

Then they plan to escape by a tunnel and they start digging out.
After digging for more than 20 days, Jill comes with the different plan and they escaped.

what was the plan ?