Weihnachtsmann rot

Challenge from 8. December

Explosion

For challenge no. 7, you will have a time bonus of 48 hours.

Authors: , Cor Hurkens

Project: 4TU.AMI

Challenge:

Today, yet another explosion occured Santa’s chemistry lab. Many beards were burnt, and many eyebrows were scorched. Over dinner, the mathematics pixy Calculus learns the following facts on the explosion from the three chemistry pixies Litmus, Nucleus, and Reductus:

Litmus recounts:
“`Only a single pixy managed to survive the explosion unharmed. Exactly one pixy got away with only a burnt left eyebrow, exactly one with only a burnt right eyebrow, and exactly one with only a burnt beard.”

Nucleus is still very upset:
“More than 95 % of the lab pixies suffered a burnt beard as well as a burnt left eyebrow.”

Reductus laments:
“And more than 95 % of the lab pixies suffered a burnt beard as well as a burnt right eyebrow.”

Calculus ponders for a while about these informations and then observes:
“Among all the lab pixies with a burnt left and a burnt right eyebrow, more than x % also have a burnt beard.”

What is the largest integer x for which the statement of Calculus will definitely be true?

Artwork: Julia Nurit Schönnagel

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Possible answers:

  1. The largest such integer is x = 90.

  2. The largest such integer is x = 91.

  3. The largest such integer is x = 92.

  4. The largest such integer is x = 93.

  5. The largest such integer is x = 94.

  6. The largest such integer is x = 95.

  7. The largest such integer is x = 96.

  8. The largest such integer is x = 97.

  9. The largest such integer is x = 98.

  10. The largest such integer is x = 99.

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