When your Partner makes a Takeout Double: Pass=Very rare, especially on a low level (you would be converting his double for penalty). Minimum Suit Bid (non-jump)=Natural, 4+ cards and 0-8 HCP. Jump in a suit=Natural, 4+cards and 9-11 HCP. Minimum Notrump Bid=5-10, balanced, stopper(s) in their suit. Jump in notrump=11-12, balanced, stopper(s) in their suit. With enough for game, the partner of the takeout doubler must make sure game is reached! He cannot make any of the calls above (because his partner is allowed to pass them). To make sure of reaching game, the partner of the takeout doubler can either bid game or cuebid.
You might also consider getting Larry's book on Doubles and Redoubles HERE or try Michael's Doubles Webinar which you can find HERE.
West North East South 1 
Double Pass ?? 
10876 
543 K32 
654
Choose One:1. -Pass
2. -1
3. -1NT
4. -Other
Answer: 21
. Not strong enough for 1NT and bidding a 4-card suit is fine. Even if the K were a low card, this would be your call.Your result so far:West North East South 1 Double Pass ?? AQ86 QJ654 32 76
Choose One:1. -1
2. -1
3. -2
4. -2
5. -Other
Answer: 42
. You are too strong to bid only 1 (0-8 and not forcing), but not strong enough to do more than this.Your result so far:West North East South 2 Double Pass ?? 9763 54 Q65 8762
Choose One:1. -Pass
2. -2NT
3. -3
4. -3
Answer: 33
. You can't "pass in fear." Unless you are playing the Lebensohl convention (where 3 would show decent values), this is your only choice. 2NT shows at least 7-8 points and spades stopped.Your result so far:West North East South 1 Double 2 ?? QJ108 K2 J1098 AQ4
(Assume you are vulnerable and the opponents are not).Choose One:1. -Pass
2. -Double
3. -2NT
4. -3
5. -3
6. -3NT
Answer: 63NT. You have their suit well-stopped and enough to try for +600 in your vulnerable game. Even if double were penalty (it shouldn't be), you'd rather be in game at this vulnerability.
Your result so far:West North East South 1 Double Pass ?? K1076 K1082 Q4 AQ2
Choose One:1. -1
2. -1
3. -2
4. -2
5. -2
6. -2NT
7. -3NT
8. -4
Answer: 32
. You have a strong hand, but are not sure where your side belongs. Don't guess a 4-card suit (it might be a 4-3 fit when a 4-4 fit is available). This bid is forcing and says nothing about diamonds. The most common agreement is that this bid is not GF, but is forcing until either partner bids notrump or raises a suit.Your result so far:West North East South 2 Dbl Pass ? KQJ1082 54 A76 643
Choose One:1. -2
2. -3
3. -3
4. -4
Answer: 44
. You only have 10 high card points, but don't obsess about point count. You have a six-card spade suit and partner has support so take your chances on game. Your result so far:Not vulnerable vs vulnerable opponents. You are South. What is your call?
KQJ10 82 A872 K98
West North East South 1 3 Dbl Pass ? Choose One:1. -Pass
2. -3NT
3. -4
4. -Other
Answer: 1Pass. You have great defensive values and you aren't so sure what will happen in 3NT. The vulnerability is the big player here. If you are going to make 3NT, you'll need some help from partner. If partner has that help, it's hard to imagine not defeating this contract at least two tricks since you have 4 likely defensive tricks in your hand.
Your result so far: