Brain Teasers
Lots of Flight!
Logic-Grid
Logic Grid puzzles come with a handy interactive grid that will help you solve the puzzle based on the given clues.Logic-Grid
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?
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
1. 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.
2. Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle.
3. 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.
4. It wasn't on the trip to San Diego where Matthew sat next to the doctor.
5. 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.
6. Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer.
7. The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.
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?
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
1. 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.
2. Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle.
3. 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.
4. It wasn't on the trip to San Diego where Matthew sat next to the doctor.
5. 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.
6. Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer.
7. The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.
Answer
Date Airline Destination Seat MateApril 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)], thus, 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), thus, 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), thus, he flew Skyways to Boston on the 23rd and his last flight that month was on MidUSA Air (intro).
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Comments
Very good. One had to use a degree of dedutive reasoning to get the first poistive placement. After that things fell into place.
Terrific teaser. I found it quite challenging. I did get the correct answers...but I have no idea how I did it! Thanks!!
Can someone explain how you got the 1st positive placement? I went through it 3 times, and other than guessing, couldn't find the breakout chain of logic.
Awesome teaser. It took me awhile to get it, but I finally did. I was disappointed that the grid had a standard pattern. Once I realized this, it gave away the answer. But the overall teaser was great!
Andytree:
Using the Logic Grid, fill in all the simple information from each sentence, without comparing sentences. For example, Sentence 1 states that the order must be WTA, Teacher, then Atlanta. Hence, you know that WTA cannot be the 23rd or 30th, the Teacher cannot be the 2nd or 30th, and Atlanta cannot be the 2nd or 9th. This is deduced simply from this sentence, with no comparison. Continue this for all other sentences.
You now know that WTA, FlyAm and AirEx cannot have been the 23rd or 30th. This leaves only Skyways and MidUSA, so X out the 2nd, 9th and 16th for Skyways and MidUSA. You should also know by now that the Ballet Dancer cannot be either the 2nd or the 9th.
Now, compare sentences 1, 3 and 7.
FlyAm cannot be the 2nd because it forces the Attorney to be the 16th.
- if WTA is the 9th it will cause the Teacher to clash with the Attorney.
- if WTA is the 16th it will put the Teacher on the 23rd and force the Ballet Dancer and Atlanta to clash.
AirEx cannot be the 2nd because:
- if WTA is the 9th it puts the Teacher on the 16th and Atlanta on the 23rd, and since FlyAm is pushed to the 16th it puts the Attorney on the 30th forcing the Ballet Dancer and Atlanta to clash.
- if WTA is on the 16th, FlyAm is pushed to the 9th and the Teacher and Attorney clash.
Thus, your first clear positive is WTA on the 2nd, which gives you two more positives of the Teacher on the 9th, and Atlanta on the 16th.
Using the Logic Grid, fill in all the simple information from each sentence, without comparing sentences. For example, Sentence 1 states that the order must be WTA, Teacher, then Atlanta. Hence, you know that WTA cannot be the 23rd or 30th, the Teacher cannot be the 2nd or 30th, and Atlanta cannot be the 2nd or 9th. This is deduced simply from this sentence, with no comparison. Continue this for all other sentences.
You now know that WTA, FlyAm and AirEx cannot have been the 23rd or 30th. This leaves only Skyways and MidUSA, so X out the 2nd, 9th and 16th for Skyways and MidUSA. You should also know by now that the Ballet Dancer cannot be either the 2nd or the 9th.
Now, compare sentences 1, 3 and 7.
FlyAm cannot be the 2nd because it forces the Attorney to be the 16th.
- if WTA is the 9th it will cause the Teacher to clash with the Attorney.
- if WTA is the 16th it will put the Teacher on the 23rd and force the Ballet Dancer and Atlanta to clash.
AirEx cannot be the 2nd because:
- if WTA is the 9th it puts the Teacher on the 16th and Atlanta on the 23rd, and since FlyAm is pushed to the 16th it puts the Attorney on the 30th forcing the Ballet Dancer and Atlanta to clash.
- if WTA is on the 16th, FlyAm is pushed to the 9th and the Teacher and Attorney clash.
Thus, your first clear positive is WTA on the 2nd, which gives you two more positives of the Teacher on the 9th, and Atlanta on the 16th.
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It was fun! It took me a while, but eventually I got it! No idea how I did....but I did it!!
it was too long i didnt even try but good job making up something that long!!!!
this was really good and complicated until the pattern showed up... takes all the fun out of it when they line up so nicely
It took me a while and I needed some help from awwwwSweet's message (Thanks BTW!!!) but I finally got there!
Difficult, but doable. Well done!
man i didn't even get that one i'll try again though GOOD JOB
Very difficult! I had to read the explanation in the answer to even get through it. that just got me more confused. Somehow, I managed. Nice job!
This one took forever! Really made my brain work. Excellent teaser!!
Fun puzzle! But, while personally I never pay attention to patterns in the grid, I think it would be nicer if the x's didn't just go down all the diagonals. I'd suggest you mix up the rows and columns a bit once you've designed the puzzle.
I love our clues--they're well written and make you think outside the box but it still didn't take me long to finish. But I really don't like the pattern with the answers--if you do another teaser I'd like to see the answers mixed up a little.
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