Answer:      7

Details:  Jill may remove loose impediments from anywhere on or off the course [Rule: 15.1a] and without penalty provided the ball does not move [Rule: 15.1b].
As Jill’s second stroke has come to rest in another penalty area, she has four options to take penalty relief (not the usual three) for just 1 penalty stroke.
One of which is to play the next stroke from where the last stroke was played from outside the penalty area [Rule: 17.2a(2)].
Jill has taken 6 talent strokes (TS) and gets only 1 penalty stroke (PS) for a score of 7.

Answer:    True

Details:    No penalty applies as this is stroke play.
David and Greg may share a caddie [Rule: 10.3a(2)].
David and Greg are outside influences with respect to Wayne's ball and therefore no penalty for lifting Wayne's ball [Rule: 9.6].
The ball must be replaced by either the player (Wayne) or the person who lifted it (shared caddie) [Rule: 14.2b(1)].
However, as this is four-ball, Steve may act on behalf of Wayne and therefore is also authorised to replace the ball [Rule: 23.5a].
Note 1:  If David, Greg or someone else replaces the ball and Wayne's plays it, then Wayne gets a 1-stroke penalty [Rule: 14.2b(1)].
Note 2:  If Wayne plays the ball that was replaced incorrectly and this knowledge comes to his attention after a stroke has been made, then no penalty applies [Clarification: 9.6/3].

Answer:   Ninth

Details:   Playing from a NPZ (ACC) is prohibited and free relief must be taken [Definition: No Play Zone and Rules: 2.4 and 16.1f]
Each stroke from the NPZ counts and a 2-stroke penalty applies [Clarification: 14.7b/1].
Liz's next stroke will be her ninth.

Answer:   1

Details:   Greg has proceeded within Rules and just 1 penalty stroke applies [Rule: 17.1d(1)].
Although the LR requires Greg to take relief in the drop-zone, he is always entitled to take stroke-and distance as an option [Rule: 18.1].. second bullet point].
Note:  Had Greg taken back-on-line relief (with the ball not coming to rest in the drop-zone), then he would attract 3 penalty strokes.

Answer:   False

Details:  David gets a 2-stroke penalty.
David is required to drop the ball, therefore the drop undertaken by the caddie has been done in the ‘wrong way’ and doesn’t count as one of the drops [Rule: 14.3b(1)].
David’s first drop has also been done in the ‘wrong way’ and is therefore required to be re-dropped [Rule: 14.3b(1)].
In placing the ball (before the second drop was undertaken), David gets a 2-stroke penalty once a stroke is made [Rule: 14.3b(4)].
This is correct, even thought the ball was played from within the relief area.

Answer:    9

Details:    Liz has taken free relief correctly, a compliant drop [Rules: 16.1a(1) and 16.1b].
However, complete relief must be taken from the condition.
Liz has made a stroke without taking complete relief and has therefore played from a wrong place (not a serious breach) and attracts a 2-stroke penalty [Rule: 16.1 ... see penalty statement at the very end].
Liz has taken 7 talent strokes (TS) and with 2 penalty strokes (PS), scores 9 for the hole.
Note 1:  Recall, it was Liz's second stroke that came to rest in he GUR.
Note 2:  There is also no issue with standing in the relief area to make a stroke.