Solution:

Only Statements 1 and 3 are true. the number is 499849.

7072 = 499849
499849 < 500000

Solution:

100

Series of number that do not contain albhabet 'T'

Solution:

I am Spice

Explanation:
Spice is hot if you remove first two alphabets then it will become "ice", which is really cold.

Solution:

Can be found on the pic below.

Solution:

The attached picture gives away the solution. If you can find another solution, do send us yours.

Solution:

1 2 3 4 5 6 and 7 8 6

Since summation of numbers 1-9(1 2 3 4 5 6 7 8 9) is 45 , so its impossible to divide into two equal parts.
Since we cant flip over 6 to make it 9 but we can flip 9 to make it 6 and hence the solution

Solution:

13 + 11 + 6 = 30

Explanation
The trick is that you just need to rotate '9' to form '6'.

Solution:

Although it looks complicated, the answer is simple. The password to his computer is JIGSAW.
1st letter of Jug = J
2nd letter of Birthdays = I
3rd letter of Fights = G
4th letter of Cars =S
2nd letter of Laptops = A
1st letter of Watch = W

Solution:

If you see the picture, they formed a pentagonal shape and achieved the required.

Solution:

Old password : altered

New Password : distinct

Solution:

The clerk said that every day the password is CHANGED. Changed is the password.