BrainBashers - Random Puzzles

Puzzle 13

Freddie was in love with three girls. He couldn't decide who he wanted to give his heart to, so he sent all three a Valentine's card. But poor Freddie was out of luck, as each girl thought the card came from someone else and Freddie was left on the sideline.

From the clues below, can you work out the name of each potential sweetheart, the colour of each card Freddie sent and the name of the boy each girl believed the card was sent by?

Unluckily for Freddie, when Miss Jetson received her card, she thought it was from Adam.
When Molly received her blue coloured card, she told Miss Hanson, and together they worked out who the card was from. It didn't occur to either of them that it was from Freddie!
The girl who received the red card was convinced it came from Ethan.
Neither Millie nor Miss Motson received a pink card. First Names: Lily, Millie, Molly
Surnames   : Hanson, Jetson, Motson
Colours    : Blue, pink, red
Boys       : Adam, Dylan, Ethan

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Puzzle 14

This is a very special sequence and is complete, but what is the missing letter?

T · I · A · V · S · S · A · I · C · ? · W · I · T · M · L

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Puzzle 15

Can you complete this grid of letters. Each line is a valid 5-letter word with its first and last letter missing.

The missing letters form a word when read downwards, and the same word appears both at the start and at the end.

What is the missing word?

Note: this puzzle is not interactive, and the squares cannot be clicked.

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Puzzle 16

At the recent BrainBashers code-breaking convention, Billie Brisk won the speed contest.

The following sentence was deciphered in a record time of 123 seconds.

What was the well-known saying, and how has it been encrypted?
MOOT CYNA SKOO IOPS EHTL TORB YCBH

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