Solution:

Red or Tan

Explanation:
The numbers of letters in each color get reduced by one on every row.
Scarlet = 7
Orange and Yellow = 6
Green, Brown, and black = 5
Gray and Blue = 4
So the next color should be of three words like Red or Tan.

Solution:

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

Solution:

12 steps:

Steps 11 Liter jug 6 Liter Jug
1. 11 -
2. 5 6
3. 5 0
4. 0 5
5. 11 5
6. 10 6
7. 10 0
8. 4 6
9. 4 0
10. 0 4
11. 11 4
12. 9 6 ==> i found 9 liter in 11liter jug(as required)

Solution:

See the figure for the answer. Wasn't it a bit tricky?

Solution:

Step one: First you will have to make 3 trips of 1,000 apples 333 miles. Then you will be left with 2,001 apples and 667 miles to go.

Step two: Next you will have to take 2 trips of 1,000 apples 500 miles. In this manner you will be left with 1,000 apples and 167 miles to go (you have to leave an apple behind).

Step three: At last, you will have to travel the last 167 miles with one load of 1,000 apples and you will be left with 833 apples when you reach the town

Solution:

At every floor, the detective had to open the window himself. If the man had committed suicide, then at least one of the windows must have been open. A person who is committing suicide won’t close the window behind him. Thus he knows that someone pushed him off the edge and closed the window afterwards.

Solution:

A
D
C
A
B

Solution:

One Minute building

building 62 => Sixty second building => One minute building

Solution:

888 + 88 + 8 + 8 + 8 = 1000

Solution:

The answer is 'R'

It represents the gear stick. The number 1-5 represents gears and the last one thus should be reverse i.e. R.

Solution:

I am word "Introvert"