Solution:

TIF56

Explanation:
The password is formed as:
T (5th letter of Shruti)
I (5th letter of Arshika)
F(1st letter of Friday)
5(5th day of week)
6(Length of Friday)

Similarly, we will pick the 1st letter for Monday and 3rd letter for Wednesday.

Solution:

It's marked as shown below.

Solution:

Just release the ball at the top of an incline and the one that reaches bottom will be the solid ball.

Explanation:
The solid ball has a smaller moment of inertia and hence less mechanical energy is spent on rotating the ball and therefore it will reach earlier.

Solution:

Q = 1
U = 9
I = 6
C = 8
K = 3.

Explanation:
Replace values in( Q + U + I + C + K)^3 = QUICK
(1+9+8+6+3)^3 = 19863
27^3 = 19863
19863 = 19863

Solution:

Safety In Numbers

Explanation:
The word "Safety" is embedded with random numbers.

Solution:

Manila --> Panama --> Havana --> Guyana -> Lusaka --> Luanda --> Uganda

Solution:

1000$ - (Profit he earned in antique watch)

Solution:

Grid 5.

Explanation:
If you arrange the images as shown in the below image, you will notice that they all are connecting images.

Solution:

Paleontology, the study of fossils

Solution:

Eleanor Roosevelt

Explanation:
"L" in "or" = Eleanor
Rows of "elt" = Roosevelt