A person has 3000 bananas and a camel. The person wants to transport maximum number of bananas to a destination which is 1000 KMs away, using only the camel as a mode of transportation. The camel cannot carry more than 1000 bananas at a time and eats a banana every km it travels. What is the maximum number of bananas that can be transferred to the destination using only camel (no other mode of transportation is allowed).
Class puzzles(Mathematical Auctions repeat from Batch 1 - Class 10)
Today was a game of competition between three teams - Doremon (Muskaan, Aashvi, Kushagra), Spongebox SquarePants (Rohan, Anshi, Damini, Siddhant) and Flying Hotdogs (Mahi, Arnav, Vaazisht, Rhea). Its a game of mathematical auctions, where a problem is presented, and the two teams bid for rights to answer the problem. The winner of the bidding gets to answer the problem. The winning bid is seized by the house. If they answer correctly, then a minute is given to all teams to think of a better answer, and the bidding resumes. The final bidding winner (after which no one is willing to bid) wins the round and the prize associated with each problem.
1. In a circle, use seven straight lines to draw maximum numbers of triangles. The circle's curvature can not form part of a triangle
FH bids 1, SS bids 2 for 20 triangles and wins
No other bids though D claims they had the optimal 35 answer
2. BOA + BACK = SCAM. Assign digits to letters so that the equation works. Different letters must stand for different digits. The bids can continue till the bidder can provide another unique answer beyond what have been provided earlier.
D bids 1 wins with 639+6951=7590
D and FH engage in competitive bidding, FH bids 3 tables two answers 7415+734=8149 and 8426+814=9240
D bids 1 and tables 368+3817=4185 and 639+6952=7591
D has an answer but doesn't bid, turns out they didn't have a unique answer, takes the round nevertheless
( Another outstanding answer is 4821+468=5289)
3. Use digits 1-6 in that order, and any 4 basic operators to make the sequence of natural numbers
FH bids 1 and answers 1-4
SS bids 3 and take it to 5
Tie breaker - SS presents a solution up to 16 and wins
4. Unlink 20 link chain at minimum points to enable payments of 1-20 links individually
FH and D seem to have the answer but FH is short of coins to bid, so D buds 4 and wins
5.Back to the homework problem with 15 award chips :-)
D bid 3 and gives a solution for 500 bananas
Overall Winner: Doremons!
Instructor Notes and References: MC Diaries Y1, Pg 213-217 for description and first three problems
MC Diaries Y1, Chap 4 for next three problems
Unused problem: MC Diaries Y1, Chap 6. Problem Set Problem 2 (Note that there are 30 answers, so a smaller problem might be better)
4. Use 5 2's and any 4 basic operators to make the sequence of natural numbers
5. Divide 7 pizzas amongst 8 people equally with least straight cuts
Homework Problem:
There are four togglers (a Toggler alternately tells the truth and lies) and one truthteller in a room. Ask two question (both to same person, or one each to different people) to determine who is the truthteller.