TED-ED: Can you solve the seven planets riddle? - Edwin F. Meyer

TED-ED: Can you solve the seven planets riddle? - Edwin F. Meyer

Assessment

Interactive Video

Mathematics

KG - University

Hard

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The video tutorial presents a problem of capturing rebels moving between seven planets. The rebels can only move to adjacent planets, while the cruiser can warp between any two planets. The challenge is to devise a search sequence to catch the rebels within 10 hours. The strategy involves simplifying the problem by focusing on a subset of planets and using the rebels' movement pattern to corner them. The solution is to search planets in a specific order, ensuring that the rebels are caught regardless of their starting position.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main advantage of the cruiser's movement capabilities compared to the rebels' ship?

The cruiser can detect the rebels' location automatically.

The cruiser can warp between any two planets every hour.

The cruiser can move twice as fast as the rebels' ship.

The cruiser can warp between any two planets instantly.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is planet three considered crucial in the simplified four-planet scenario?

It is adjacent to all other planets.

It is the starting point for the rebels.

It is the largest planet in the cluster.

It is the only planet with resources.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial assumption made about the rebels' starting position in the seven-planet strategy?

They start on planet three.

They start on an odd-numbered planet.

They start on the outermost planet.

They start on an even-numbered planet.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the strategy ensure capturing the rebels if the initial assumption about their starting position is incorrect?

By searching only the odd-numbered planets.

By increasing the number of searches.

By repeating the same sequence of searches.

By using a different sequence of searches.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of dividing the planets into even and odd subsets in the strategy?

It helps in identifying the rebels' ship type.

It simplifies the search process by alternating searches.

It allows the cruiser to move faster.

It ensures the rebels cannot hide on planet three.