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Frequently Asked Questions

  1. Is there a registration fee to participate in Puzzle Lab?
    • No, participation in Puzzle Lab is completely free! However, the registration process for the Panini Linguistic Olympiad is separate and includes a nominal fee.
  2. How does the Puzzle Lab compare to the PLO set of problems?
    • The Puzzle Lab is designed to be easier and more accessible, with a focus on introducing you to the types of questions you might encounter in the PLO.
    • Unlike the PLO, which has a higher difficulty level and is conducted offline, the Puzzle Lab is an introductory online experience with flexible timing.
  3. How many problems should I expect?
    • There will be 15 MCQ questions and 3 long (integer based) questions.
  4. What is the selection process for the Panini Linguistics Olympiad (PLO)?
    • For detailed information about the selection process for the PLO, please refer to the official PLO website.
  5. Are the Panini Linguistics Olympiad (PLO) and AI Olympiad (AIO) the same competition?
    • No, they are two separate Olympiads with different problem styles and focuses.
    • PLO is centered around linguistics and leads to the IOL (International Linguistics Olympiad), while AIO focuses on artificial intelligence and leads to the IOAI (International Olympiad of AI).
  6. What sort of problems in linguistics can I expect?
    • To get a feel, you can try the two problems below. Refer to the resources section on the PLO website for detailed solutions.

Want to try sample Problems?

Akamu Table

Adapted from "Compilation of Russian Olympiad problems between 1965 and 1975" by Vladimir Belikov, Elena Muravenko, Alekseev Mikhail Egorovic

"Did you know that the Hawaiian language and the Maori language spoken by the Maori people of your country are related?" said Akamu, the tourist guide, to Tia, the tourist from New Zealand, who was visiting Hawaii for the first time. "That's impossible!" exclaimed Tia. "The two archipelagos are separated by 7500 km of water. How could two languages spoken in islands so far apart could be similar?" Akamu smiled. "Well, it is not only these two languages. There are at least 30 other languages spread across the islands of the Pacific Ocean that evolved from the same common ancestor. Linguists call this the Polynesian family of languages". He took out a piece of paper and wrote down the words for the cardinal numbers (first, second, third etc.) in 5 Polynesian languages that he could recall. He handed it over to Tia and said "You don't have to believe me; see it for yourself. How would a set of unrelated languages have so similar words for the cardinal numbers?"

Tia looked at Akamu's table with utmost surprise (' and wh are specific consonants):

Language 1 2 3 4 5 6 7 8 9
Hawaiian kahi lua (a) ha lima ono hiku walu (b)
Maori tahi rua toru wha (c) ono whitu waru iwa
Nuku Hiva tahi (d) to'u ha (e) ono (f) va'u (g)
Rarotonga ta'i (h) (i) 'a rima ono 'itu varu iva
Samoa tasi lua (j) (k) lima ono fitu (l) iva

It was not hard to see the pattern. Akamu had forgotten some of the words — the gray cells in the table. Tia could fill in the gaps simply by studying the pattern. She showed Akamu her guesses, and Akamu exclaimed "Woah! You got everything right. When did you learn all these languages?" "It's actually simple", said Tia.

Assignment 1 [Answer Booklet]: Guess the 12 missing words.

Assignment 2:Explain the rules that you used to convert words from one language to another. Here is one example rule (as well as a hint) for you: 'the consonant l in Hawaiian is transformed to r in Maori.

Hawaiian k h h l w
Maori t h wh r w
Nuku Hiva t h h ' v
Rarotonga t ' ' r v
Samoa t s f l v

Suraj passes by an ice cream cart every day on his way home. Each day:

  1. There is a 20% chance that Suraj feels tempted to buy ice cream.
  2. If he feels tempted, Suraj will only buy ice cream if the cart has his favorite orange flavor, which is available 40% of the time.

Assume each day is an independent event, and the events in conditions 1 and 2 are also independent. What is the expected number of days until Suraj buys and eats his favorite orange ice cream? Round your answer down to the nearest integer.

Probability of Suraj buying ice cream on any given day (p) = Probability of Suraj being tempted x Probability of orange flavor being available
p = 0.2*0.4 = 0.08 (since these are independent events)

Let n be the first day Suraj gets to buy the orange ice cream. Since that implies no purchase on the preceding (n-1) days,
the probability is given by p(1-p)^(n-1)

Expected numbers of days for first ice cream purchase = Expectation of this distribution = \sum_{n=1}^{\infty} np (1-p)^{n-1} = 1/p = 12.5 days.

Rounding down to the nearest integer, we get 12 days.