Beaver is an expert watchmaker. The watches use the faces, straps and time displays in this table.
English translation: faces are round, square or octagonal; straps are metal, leather or plastic; displays are digital-only, hands-only or combined. Beaver does not make round watches with metal straps. Also, any digital-only watch must have a plastic strap. Which one of these watches was not made by Beaver?
Seven aircraft queue to enter the runway and take off as shown.
Their departure schedule has some blanks.
The columns are 10:45,10:52,10:55,10:59,11:00,11:10,11:11. The known flights are VN106 at 10:52, VN105 at 10:59 and VN103 at 11:10. Which aircraft departs at 11:11?
Source labels: Đường băng = Runway; Thời gian = Time; Máy bay = Aircraft.
Saro plans a party for 78 guests and writes invitations for Beaver to deliver:
- Saro writes exactly 15 invitations each day.
- At the end of each day, after writing 15, Saro gives them to Beaver.
- Early the next morning Beaver starts delivering. Because the distances are long, Beaver can deliver only 10 invitations per day.
What is the least number of days until all 78 required invitations have been delivered?
Beaver’s robot plants flowers along four garden paths. It reads its map from the left, but the middle part has been erased.
Instead of redrawing the map, Beaver supplies commands: S means straight; Dx connects to the path x rows lower, as in the D1 example; Uy connects to the path y rows higher. What commands should be filled from top to bottom?
Elinam, the guide identified by this icon, must select from eight travel photographs.
The selection must satisfy these answers:
1. Must Elinam be in the photo? YES.
2. If a car is present, should its number plate be visible? NO.
3. If other people are present, should their faces be visible? NO.
4. Must an animal be present? YES.
What is the maximum number of suitable photos?
Beavers have round and square platforms, each with a gate. A round platform opens its gate only if at least two beavers stand on it; a square platform opens with at least one. At “Start”, the beavers follow the paths to the first platform. If its gate opens, all beavers on it continue. In which arrangement does the final gate remain closed?
Joel wants directions to a nearby village. The sign’s symbols A,B,C,D each stand for one of north, south, east or west, and each symbol moves one cell in that direction.
Compass translation: Bắc=north, Nam=south, Đông=east, Tây=west. Beaver cannot cross the thick walls. Which instruction reaches the village?
The robot knows the features of five flowers in this table.
English translation, in order petals / leaves / color / scent / stem:
- Tulip:6 / long,smooth / red or yellow / mild / smooth.
- Daisy:10–20 / medium / white or yellow / mild / slender.
- Rose:10–20 / small,pointed / red or pink / strong / thorny.
- Camellia:10–20 / medium / pink / mild / slender.
- Marigold:over 20 / large,round / yellow or orange / strong / smooth.
Beaver grows one of these flowers. Each question asks about one feature and gets an accurate answer. What is the smallest number of questions that guarantees identification?
Editorial interpretation: a color answer names the actual observed color of the flower, not the whole list of possible colors printed for its species.
Alice sends Bob this grid and the hint “2L 1U 6R 2D 1L 2D 7L 1U 1R 2U 1R”.
U,D,L,R mean up,down,left,right. Starting at the central black square, Bob follows the instructions and records the letter at each destination cell, if any. For example,2L reaches R; then 1U reaches a blank cell; continue in the same way. What is Alice’s message?
To make Bibimbap, four ingredients are prepared separately and mixed at the end. Their required stages and durations are shown.
English translation: greens boil in the pot for 10 minutes, then are chopped for 5; bean sprouts soak in the bowl for 5, then boil in the pot for 10; carrots are chopped for 5, then stir-fried in the pan for 10; eggs fry in the pan for 5. The kitchen has only one pan, one pot, one knife-and-board set and one bowl, but work on different tools can overlap. For example, greens can boil for 10 minutes while eggs fry for 5. What is the shortest time to finish preparing all four ingredients?
On these eight magical islands, Beaver can move between islands through buildings with the same number. For example, from A it can reach D or E through buildings numbered 1, or H through buildings numbered 2.
No island may be visited more than once. How many different routes lead from A to B?
In Binary Sudoku, fill an 8× 8 grid with 0 and 1 so every row and every column has exactly four 0s and four 1s. No more than two identical numbers may be consecutive horizontally or vertically. After completing this grid, what is the sum of the four gray cells?
Hana’s village schedules three green days per week for gardening. Each selected day needs at least four residents; every resident must attend at least one selected day; no one attends all three. The table marks each person’s available weekdays with O.
English translation, Monday=1 through Sunday=7: Ain 1,3,5,6; Boa 1,2,3; Chae 2,5; Doyun 3,4,6; Eun 1,4,7; Felix 2,4,6; Gaon 1,3,7; Hana 2,5,6. Which set of days works?
A food factory’s machine compares its input ingredient sequence with the exact recipes shown.
Recipes must use consecutive ingredients in the listed order. No ingredient can be skipped inside a recipe or used twice. Unused ingredients pass through as unprocessed outputs. For this example input:
the machine can group the ingredients as:
and produce two dishes and one unprocessed ingredient:
For the following input, what is the smallest total number of dishes and unprocessed ingredients in the output?
