Describe the mongoose's fight with Nag and Nagaina, and its outcome in "Rikki-Tikki-Tavi".

Rikki-Tikki-Tavi, the mongoose battles Nag to the death in the bathroom inside the bungalow.  After Nag is coiled around the water pot in the bathroom and sound asleep, Rikki jumps on his head and braces himself against the pot to try to hold Nag's head.  Nag bangs Rikki against things "to and fro" and in great circles attempting to force the mongoose to release his jaws.  Rikki refuses to let go, and Teddy's dad fires his shotgun killing Nag.  Because Rikki kills Nag, the English family in the bungalow is safe, and Nagaina's plan to rule the garden is foiled.

Rikki-Tikki-Tavi later teases Nagaina with the single remaining cobra egg that he has not yet crushed, forcing her to fight to save that egg.  She strikes at Rikki several times as he dances around her in a circle.  Finally, Nagaina grabs up her egg and quickly slithers back to her snakehole.  However, Rikki follow her down the hole.  Just as Darzee begins to sing Rikki's death song, he emerges from the hole and says, "It is all over...The widow will never come out again."  Because Rikki kills Nagaina as well as destroys all of her eggs, the garden and the bungalow are safe.

Many people feel that the snakes represents Indian soldiers and Rikki represents the British Empire.

Describe the fight between Rikki-tikki-tavi and Nagina in "Rikki-tikki-tavi".

Nagaina threatened Teddy, and Ricky told her he had killed all of her eggs except one.  She followed him, and eventually he followed her down her hole and killed her.

After Rikki kills Nag, the father shoots him.  Rikki thinks it’s silly because the snake is already dead.  Nagaina thinks that he killed her husband too, so she threatens Teddy.

"I will settle my account with you presently. Look at your friends, Rikki-tikki. They are still and white; they are afraid. They dare not move, and if you come a step nearer I strike.''

Rikki brings up one of her eggs, telling her all the others are dead and this one is the only one left.  She follows him, angry and desperate to save her last baby.  Darzee sees Rikki go down the snake’s hole, and starts to sing a song about his death.

Rikki-tikki, covered with dirt, dragged himself out of the hole leg by leg, licking his whiskers. 

That is the end of the danger, because all of the snakes in the garden are dead.  Rikki will keep the others from hurting the people, and they will all live happily ever after because  a mongoose in the garden means no more snakes.

What happens in the fight between Nagaina and Rikki-Tikki-Tavi?

Nagaina, the female cobra, has indicated her desire to kill all the humans, which will cause Rikk-Tikk-Tavi, the mongoose, to leave, ensuring that she will be queen of the garden. While Rikki is off destroying her eggs, she moves onto the veranda and is poised to strike Teddy. Rikki lures her away with the last of her eggs. Rikki then begins to fight her, jumping around her in a circle, causing her to strike out at him repeatedly. Each time she hits her head on the matting of the veranda. She then takes her egg in her mouth and, "like a whiplash," speeds across the path to the garden. Then, with the egg in her mouth, Nagaina vanishes down the rat hole where she has been living. Rikki, in an action even most adult mongooses would not try, follows her into her lair. The birds outside cannot see what is happening; they assume the worst. But eventually Rikki emerges, covered with dirt, saying, "It is all over. ... The widow will never come out again." Rikki then lies down on the grass and goes to sleep, "for he had done a hard day's work."