Trivia
Number of years in a Lunar New Year cycle.
What is 12?
Uncle Roger sells n dumplings for (n+20)(n+24) cents. A customer buys $20.21 worth of dumplings. Uncle Roger can make 20 dumplings in an hour. Find the number of minutes he needs to make this order.
What is 69 minutes?
The Chinese calendar is divided into repeating years of 12 called the earthly branches, and repeating years of 10 called the heavenly stems. In how many years will this calendar repeat?
What is 60?
Nathan has made 2024 dumplings. Every second, he randomly combines two dumplings. Find the probability that after 2022 seconds ( 2 dumplings remaining), one of the dumplings left is an original dumpling? (never combined.)
What is 2/2023?
The animal that comes first in the Chinese Zodiac
What is the mouse?
This year, lunar new year occurred on Feb 10, a Saturday. What day of the week does the next lunar new year fall if it happens on Jan 29?
What is Wednesday?
The largest integer n such that the last nonzero digit of n! (n factorial) is 1.
What is 1?
4 dancers are needed for a good dragon dance. At any time, each dancer may raise one or both feet. An arrangement of feet is called stable if there are at least one foot on each side of the dragon. Find the number of stable arrangements.
What is 225?
Next Chinese zodiac sign.
What is the snake?
Find the sum of all real numbers that satisfy (8^x - 19*4^x)/(16-25*2^x) = 2
What is 5?
p and q are primes so that p+q and p+7q are perfect squares. Find p
What is 2?
A fortune teller receives an input of 0, 1, or 2 and outputs 0, 1 or 2. Let this function be called f. Find the number of fortune tellers such that f(2) + f(f(0)) + f(f(f(1))) = 5
What is 2?
First recorded celebration of Chinese New Year. (Within 200 years is okay)
What is ~300 BC?
Find the sum, from 1 to infinity of (n+1)/(n^2+2n)^2. I can't import math equations unfortunately.
What is 5/16?
Brett, Eddy and Nathan are buy dumplings on two days, one with a discount and one without. They buy at least one dumpling on each day. At the end, Brett has 12, Eddy has 40 and Nathan has 52, but all spend 42$. Find the number of dumplings Brett purchased on the day without the discount.
What is 11 dumplings?
Steven has 3 children, ages 5, 12, and 13. Steven needs to distribute 15$ to the children for their red envelopes. Find the number of ways to do this if each child must receive at least 1$ and the middle child receives (strictly) more than the others (since they are 12).
What is 24?
Name 5 foods usually eaten in Lunar New Year.
Spring rolls, dumplings, niangao (glutinous rice cake), garlic, fish, tangerines, noodles, sweets, etc.
Brett and Eddy are playing with a calculator. On their turn, they can either double and add 1, or quadruple and add 3. The first person to get over 2^100 wins and Brett goes first. How many turns will the game last if both players play optimally?
What is 67?
Uncle Roger and Steven He are flicking switches on a 20x20 board. All switches are initially off. Uncle Roger turns an entire row on on his turn, and Steven He turns on an entire column. If the number of on switches is odd for every column and row, find the maximum number of switches that are on at the end.
What is 362?
Uncle Roger is arranging 10 red envelopes. Each envelope has 1-10$ in them. What is the probability that 3 chosen envelopes have more than 15$?
What is 11/24?