You have to summon the monster that begins in your hand, equip it with the equip spell then use the cocoon of evolution to bring the insect queen. The you activate the effect of the monster on the graveyard to bring the last card from your deck then special summon it.
Funnily enough, the tips implies you have to attack with Meta Insect Queen more than once to win the duel, but you actually don't have to. Just attack once with Doom Dozer first, then attack directly with Meta Insect Queen. The game still treats it as the correct solution since you still win on that turn.
I recall there's another quiz that can be solved without doing what the tips says, but I forgot which one.
The new "Call forth the phoenix" quiz is easy.
Use tribute to the doomed, sacking the trap card. Use the Fire King Island ability to summon red dragon ninja. Use its ability to send the security orb back to his deck. Summon Hand of Nephthys. Use its ability to summon the phoenix.
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First quiz. Summon the 1900 monster and detach tri-blaze accelerator. Activate it. Summon the 3k monster by tributing it. Attack with the 3k monster. Tokens are summoned but are immediately destroyed and your opponent takes 1k damage. Attack with the 1900 monster. U win
Second quiz: activate Lightning. Kill the monster. Discard Ceruli (not sure how to spell it). Discard rainbow.
Ultimate dragon duelist challenge
1 - use Venus effect summon shine ball x 2
2 - use order to smash tribute ball to get rid of riryoku field
3 - use Venus summon another ball
4 - tribute ball for skull
5 - use order of charge and white elephant gift on skull and ball to draw and get rid of 1 ultimate dragon
6 - summon sky and use effect to banish another dragon
7 - summon atmosphere use its effect and attack GG
Servant of kings 2 (3-star quiz) is SUCH A TROLL!! HAHAHAHA! Can't believe I easily got baited and fell for the trap (which ironically, is what the quiz's title is). LOL. So for those of you who can't figure the hell out of it, just ATTACK FIRST WITH DARK MAGICIAN, only CHAIN the spell card's effect if OPPONENT ACTIVATED HIS TRAP CARD. Finish with DMoC direct attack.
1. Summon Red eyes zombie dragon, tribute fear from the dark.
2. Activate Give and Take, Summon Gozuki.
3. Attack Gozuki.
After that just go with the flow. You'll get to summon two monsters from the graveyard, use them both to attack.