Puzzle 45

The BrainBashers safe has a rather unusual control panel.

In order to open the safe you have to press every single button once only, in the correct sequence, ending on the button marked E.

Each button clearly states which button to press next, for example, 2U means move up 2 buttons and 3R means move right 3 buttons.

 4R 4D 1R 1D 2D 4L 1D 1R 4D 5D 2R 2D 1L 4L 2R 1D 1L 2R 2R 2D 2U 2R 2R 3U 3D 1R 3U 6L 3U 3R 1D 2U 4L 2D 3L 3U 1L 1R 1R 1R 1R 2U 6U E 2U 2L 4L 1L 2U

Puzzle 46

Below you will find ten 6 letter words, however, every other letter is missing.

Can you determine the words?

-S-E-D
-P-A-G
-R-F-R
-Y-R-D
-R-F-E
-A-B-N
-A-E-A
-O-D-G
-S-F-L
-I-S-E

Puzzle 47

Tommy: "How old are you, Mamma?"

Mamma: "Let me think, Tommy. Well, our three ages add up to exactly seventy years."

Tommy: "That's a lot, isn't it? And how old are you, Papa?"

Papa: "Just six times as old as you, my son."

Tommy: "Shall I ever be half as old as you, Papa?"

Papa: "Yes, Tommy; and when that happens our three ages will add up to exactly twice as much as to-day."

Tommy: "And supposing I was born before you, Papa; and supposing Mamma had forgot all about it, and hadn't been at home when I came; and supposing..."

Mamma: "Supposing, Tommy, we talk about bed. Come along, darling. You'll have a headache."

Now, if Tommy had been some years older he might have calculated the exact ages of his parents from the information they had given him. Can you find out the exact age of Mamma?

[Puzzle Code = ZPYU] Mamma's Age. Amusements In Mathematics by Henry Ernest Dudeney (1917).

Puzzle 48

Imagine a bottle recycling skip, empty other than one lonely bottle.

Every hour, on the hour, people come and put bottles into the skip.

The first hour, at Noon, one person came and put a bottle in.

One hour later, two people placed a bottle each into the skip.

An hour later four people placed a bottle each into the skip.

This doubling of people continued until 11pm, when the skip was finally full.

When was the skip exactly half full?

[Puzzle Code = ZFKX]