BrainBashers - Random Puzzles

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Puzzle 1

In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
       ....
    ———————
75 | 796767
     791
      ——
       57
       30
       ——
        86
        82
        ——
         47
         47
         ——
          9

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Puzzle 2

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 2^nd), 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 2^nd, April 9^th, April 16^th, April 23^rd, April 30^th
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

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Answer
Date        Airline      Destination  Seat Mate
April 2^nd   WTA Airways  Chicago      Doctor
April 9^th   Fly America  San Diego    Teacher
April 16^th  Air Express  Atlanta      Sports Coach
April 23^rd  Skyways      Boston       Attorney
April 30^th  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 16^th, 23^rd, and 30^th (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 2^nd and April 9^th (intro)], but it wasn't first [after WTA Airways](1), therefore, April 2^nd flight was the WTA Airways flight, the one where he sat by the teacher was the April 9^th flight, and the one to Atlanta was the April 16^th flight, and he sat by the ballet dancer and attorney on the April 23^rd and April 30^th flight, in some order.

He didn't sit beside the sports coach on the WTA Airways flight (5) so that wasn't April 2^nd, he sat beside the sports coach on the Atlanta flight [April 16^th] and it was the April 2^nd flight where he sat next to the doctor.

April 2^nd [first flight, WTA Airways, doctor] wasn't to Seattle (2), Boston (3), or San Diego (4), that flight was to Chicago.

The April 9^th flight wasn't to Seattle [after sports coach which was April 16^th] or to Boston [after Air Express, which would have to be April 2^nd, but WTA Airways was April 2^nd (1)](3), so, on April 9^th he flew to San Diego.

Boston wasn't the last destination (3), so it was his destination on April 23^rd and Seattle was his destination on April 30^th.

Boston [April 23^rd] was before the one where he sat by the ballet dancer (3), so he sat by the ballet dancer on April 30^th flight to Seattle, and it was on the April 23^rd flight to Boston that he sat by the attorney.

Since he sat by the attorney on the April 23^rd flight, then he flew Fly America on the 9^th [exactly two weeks before](7).

He flew Air Express before the flight when he flew to Boston [April 23^rd](3) so he flew Air Express on the 16^th.

He didn't fly Skyways to Seattle [April 30^th](5), so, he flew Skyways to Boston on the 23^rd and his last flight that month was on MidUSA Air (intro).

Puzzle 3

During the recent BrainBashers cipher convention, a Morse code contest took place.

The contest consisted of a Morse code transmission where the spaces between the letters and words were missing.

Can you decipher the sequence and find the well known proverb?

Luckily, BrainBashers has provided you with a list of the Morse code characters:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

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Puzzle 4

GreenJack Round #2all logic puzzles

You find yourself playing a game of GreenJack with your friend.

It is played with a deck of only 16 cards, divided into 4 suits:

Red, Blue, Orange, and Green.

There are four cards in each suit:

Ace, King, Queen, and Jack.

All Aces outrank all Kings, which outrank all Queens, which outrank all Jacks, except for the Green Jack, which outranks every other card.

If two cards have the same face value, then Red outranks Blue, which outranks Orange, which outranks Green, again except for the Green Jack, which outranks everything.

Here's how the game is played: you are dealt one card face up, and your friend is dealt one card face down. Your friend then makes some true statements, and you have to work out who has the higher card, you or your friend. It's that simple!

Round 2:
You are dealt the Blue King and your friend makes three statements:

My card would beat a Green King.
Knowing this, if my card is more likely to be a Jack than a Queen, then my card is actually a King. Otherwise, it isn't.
Given all of the information you now know, if my card is more likely to beat yours than not, then my card is Red card. Otherwise, it isn't.
Who has the higher card, you or your friend?

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