Solution:

128.

There are 62 squares of size 1x1.
There are 41 squares of size 2x2.
There are 18 squares of size 3x3.
There are 6 squares of size 4x4.
There is 1 square of size 5x5.

A total of 62 + 41 + 18 + 6 + 1 = 128.

Solution:

The ball will take infinite bounces before it is stopped. As per the question it will keep on bouncing half way up every time it hits the ground. But gravity will play its part at certain point of time which will make it stop.

Solution:

It can be done in 8 moves as shown in the animated image below.

Solution:

The Lady sitting in the chair has the detector attached to the back of her blouse.

Solution:

The old lady of course.
After helping the old lady into the car, I give the car keys to my best friend.
And then i go ib the bus with child love <3

Solution:

The stranger said that he thought the room was his. If so, he must have had the keys to the room and thus he must not have knocked.

Solution:

4

No Of circles in the number.

Solution:

30,450 miles.

Explanation:
For each 5 miles driven using this rotation, each tire will lose (2/29000)+(2/21000) of its tread.So, suppose we drive 5*N miles like this. Then, each tire will lose 2*N*((1/29000)+(1/21000)) of its tread. We wish to determine N so that the latter expression gets to be 1, representing all of each tire's tread. That happens when N=6090, which is when 5*N (the total miles driven) is 30,450.

Solution:

What is the correct time ?

Solution:

7

Explanation:
8th is bald man head, check the video below.

Solution:

Solution can be verified from the picture below.