Puzzle 313
Starting in the bottom left corner and moving either up or right, how many different ways are there to get to the top right corner and make a total of 10?
Puzzle Copyright © Kevin Stone
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Hint
You can only go up or right.
Answer
6.
With U = Up, and R = Right, you can move in the following ways:
UURR
URUR
URRU
RUUR
RURU
RRUU
Puzzle 314
- Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word.
- Each letter is only used once, and no letter is repeated in the rows/cols/blocks.
- Letters allowed: S O N A T A.
Puzzle Copyright © Alan Stillson and Frank Longo
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Hint
Row 3's missing letter is T.
Answer
N |
A |
R |
E |
B |
S |
O |
W |
K |
R |
E |
T |
A |
P |
Z |
S |
Across: NEAR, BOWS, TREK, ZAPS
Down : BANK, SPAR, ZERO, STEW
Boxes : BANS, WORE, PARK, ZEST
Note : Other anagrams of these words are OK as long as they don't change the answer grid.
Puzzle 315
Matthew Shelborn frequently has to travel for his company, which gives him a chance to meet many people from all parts of the USA. In April, Matthew flew to five different US cities on business and he flew a different airline each time. During each trip he chatted with the person next to him, and no two people he talked to were in the same profession.
From the information, can you determine the date Matthew made each flight (each was on a Monday exactly one week apart starting on April 2nd), the airline he flew, his destination, and the profession of the person who sat next to him on each flight?
Three consecutive flights were, in order from first to last, the flight Matthew took with WTA Airways, the flight where he sat next to the teacher, and the flight he took to Atlanta.
Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle.
The week he flew Air Express was some time earlier in the month than the trip to Boston, which was some time earlier in the month than the trip where he sat next to the ballet dancer.
It wasn't on the trip to San Diego where Matthew sat next to the doctor.
Matthew didn't fly Skyways on his trip to Seattle, and he didn't fly WTA Airways on the trip where he sat next to the sports coach.
Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer.
The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.
Dates : April 2nd, April 9th, April 16th, April 23rd, April 30th
Airline : Air Express, Fly America, MidUSA Air, Skyways, WTA Airways
Destination : Atlanta, Boston, Chicago, San Diego, Seattle
Seat Mate : Attorney, Ballet Dancer, Doctor, Sports Coach, Teacher
Puzzle Copyright © Rodins Ltd
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Hint
A grid of possible options might help.
Answer
Date Airline Destination Seat Mate
April 2nd WTA Airways Chicago Doctor
April 9th Fly America San Diego Teacher
April 16th Air Express Atlanta Sports Coach
April 23rd Skyways Boston Attorney
April 30th MidUSA Air Seattle Ballet Dancer
The trip to Atlanta (1), the trip where Matthew sat next to the ballet dancer (3), and the trip where Matthew sat next to the attorney (7) were among the last three trips [April 16th, 23rd, and 30th (intro)], and the trip to Atlanta wasn't the one where he met the ballet dancer (6) or the attorney [he flew WTA Airways exactly two weeks before the one to Atlanta, and he flew Fly America exactly two weeks before he sat by the attorney (7), so, these three are separate flights, in some order.
He didn't sit by the teacher on the trip to Atlanta (1), so the flight were he sat by the teacher was on one of the first two flights [April 2nd and April 9th (intro)], but it wasn't first [after WTA Airways](1), therefore, April 2nd flight was the WTA Airways flight, the one where he sat by the teacher was the April 9th flight, and the one to Atlanta was the April 16th flight, and he sat by the ballet dancer and attorney on the April 23rd and April 30th flight, in some order.
He didn't sit beside the sports coach on the WTA Airways flight (5) so that wasn't April 2nd, he sat beside the sports coach on the Atlanta flight [April 16th] and it was the April 2nd flight where he sat next to the doctor.
April 2nd [first flight, WTA Airways, doctor] wasn't to Seattle (2), Boston (3), or San Diego (4), that flight was to Chicago.
The April 9th flight wasn't to Seattle [after sports coach which was April 16th] or to Boston [after Air Express, which would have to be April 2nd, but WTA Airways was April 2nd (1)](3), so, on April 9th he flew to San Diego.
Boston wasn't the last destination (3), so it was his destination on April 23rd and Seattle was his destination on April 30th.
Boston [April 23rd] was before the one where he sat by the ballet dancer (3), so he sat by the ballet dancer on April 30th flight to Seattle, and it was on the April 23rd flight to Boston that he sat by the attorney.
Since he sat by the attorney on the April 23rd flight, then he flew Fly America on the 9th [exactly two weeks before](7).
He flew Air Express before the flight when he flew to Boston [April 23rd](3) so he flew Air Express on the 16th.
He didn't fly Skyways to Seattle [April 30th](5), so, he flew Skyways to Boston on the 23rd and his last flight that month was on MidUSA Air (intro).
Puzzle 316
Championships 2022 - Logic Puzzles
At the recent BrainBashers Championships 2022, the 100 metres heats were closely observed.
Each contestant had to run in two races so that the average place could be determined.
Only one runner finished in the same place in both races.
Alex was never last. Chris always beat Dale. Billie had at least one first place. Alex finished third in at least one of the races. Both Dale and Chris had a second place.
What were the two results?
Puzzle Copyright © Kevin Stone
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Hint
Since Dale had a second place, what does this tell us about Chris?
Answer
Race 1: Billie, Chris, Alex, Dale.
Race 2: Chris, Dale, Alex, Billie.
Reasoning
Since Chris always beat Dale and Dale had a second place, one race must have been Chris first and Dale second.
Billie therefore won the other race, with Chris second.
Since only one runner finished in the same place in both races, this must have been Alex in third.
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