Beaver Lucilla is learning to use a fork. Her mother says that outside pizza pieces, which have crust, may be eaten by hand; inside pieces, which have no crust, must be eaten with a fork. How many inside pieces are shown?
Juno is approaching Jupiter. Its autopilot can move in eight directions. In the original Vietnamese compass, B=N, Đ=E, N=S and T=W; ĐB=NE, TB=NW, ĐN=SE and TN=SW. For example, 1 B means one step north and 2 ĐB means two steps northeast.
Which command sequence gets Juno to Jupiter fastest without hitting an asteroid? The original direction abbreviations are retained in the choices.
Beaver-language words follow these printed rules:
- Use only the three symbols shown.
- Start with one symbol or two identical symbols.
- Add to the left and right of a word to form a new word.
Some example words are shown below.
Which of the following words does not occur in the language?
Editorial note: the last printed rule does not say which symbols or how many symbols must be added at each end. The conditional analysis below uses the same symbol at both ends, as suggested by the examples; the original wording alone is incomplete.
A beaver makes these statements:
1. Bob and Moe are smiling.
2. Bob, Moe and Lea have two legs.
3. Moe has a round head and Lea has two legs.
4. All the robots have five fingers.
5. Lea has two arms.
Which statements are true?
At the Bebras festival, each beaver brings a pillow as a pretend-battle weapon. Pillow patterns determine teams. Each team has exactly three members. If more than three beavers have the same pattern, only three lucky beavers play and the rest cannot. If fewer than three have a pattern, none of them play. The pillows are shown below.
Beavers A, B and C must each inspect one of the town’s three dams. Each metre from a beaver’s home to the assigned dam earns one coin. The distance table is shown.
In English, the three columns are Dam 1, Dam 2, Dam 3. A: 125, 125, 130 m; B: 125, 110, 110 m; C: 150, 175, 175 m. What is the smallest total payment to the three beavers?
A beaver has the shape-making machine shown below. Each conversion gate changes only its indicated input shape. For example, the illustrated gate changes a triangle to a circle; a circle or square passes unchanged.
The Penrose Parlor ice-cream machine follows these rules:
0. Start with a cone.
1. Choose a flavour and add two scoops of that flavour.
2. Add one scoop of a different flavour on top.
3. Stop if the customer wants no more; otherwise repeat step 1.
Which pictured cone could not be made by the machine?
Editorial note: white shapes obscure the upper part of every original cone. The conditional comparison treats the visible scoops as bottom-up prefixes that may be completed above the obscured area; it cannot verify the complete hidden cones.
Mr Bobby’s class may play football next week only if all three conditions hold: it is sunny; humidity is low or normal; and no other class has booked the field.
The original tables give Monday: sunny, low, Ms Garcia; Tuesday: rainy, high, Mr Smith; Wednesday: rainy, normal, free; Thursday: sunny, low, free; Friday: sunny, very high, Ms Parker. On which day can the class play?
Beaver Bob, an amateur electrician, uses six switches to control six lamps. Each switch controls exactly one lamp, but the matching is unknown. Four observed configurations are shown below.
Beaver Roni has forgotten the password to his treasure cave. His notes say:
- The password has three digits.
- 1 7 2 contains exactly one correct digit, in the wrong position.
- 8 5 4 contains two correct digits, both in the wrong positions.
- 9 8 6 contains one correct digit, in the wrong position.
- 7 5 1 contains one correct digit, in the correct position.
What is the sum of the password’s digits?
Editorial convention: each clue gives the exact number of present digits; the remaining digits in that clue are absent.
Anete is packing for a two-day trip. Her backpack holds at most 16 Beb. Pyjamas and a toothbrush must be included. The items and sizes are shown.
In English: trousers 3, pencil case 2, volleyball 6, pyjamas 4, swimsuit 1, book 8, hat 3, toothbrush 2, towel 7, shoes 6 Beb. Which items should she take to carry the greatest number of items?
Editorial note: the literal maximum is missing from the four choices. The conditional selection below compares only the listed choices; the original global-maximum question remains defective.
The numbers give downstream travel times in minutes between adjacent towns. Upstream travel takes 50% longer on every segment; for example, town 2 to town 1 takes 24 minutes rather than 16. Hospitals can be built in only two towns. Beavers in other towns go to whichever hospital takes the least travel time. Where should the two hospitals be built to make the largest travel time as small as possible?
