Solution:

As the message contains one truth, the third says that the cash is in the second bag, if it is to be true, then the first bag message will also become true. So cash cannot be in second and third bags. cash is in the first bag.

Solution:

For one Friend Stewie will give Chocolate in a bag.

Solution:

This is simply the numbers 2^0,2^1,2^2 ... that is 1,2,4,8,16... So for making 1000 kg we need up to 1, 2, 4, 8, 16, 32, 64, 128, and 512

Solution:

I have written 'your exact weight' on the paper.

Solution:

Twinkle and Rinki start on opposite sides of the river

Solution:

Velma waits until night time and then goes through the second door.

(No sun at night)

Solution:

Sunday

Explanation:
71 days = 10 week + 1 day.
+1 day implies Sunday.

Solution:

The original password for Jasmine's account was 'changed' and the new password is 'distinct'.

Solution:

Britney speaks truth on only Thursday.

Solution:

They are the same houses that you saw on the opposite direction while coming back home. Thus there are fourteen houses between your home and the grocery store.