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. Can you determine which button you must start with?

Answer:
There are 65 pages and the number 9 appears 6 times.

Puzzle 403

What is represented by this BrainBat?

T
E
K
R
A
M

[Ref: ZMKT]

Hint: Say what you see.

Answer: Up-market.

Puzzle 404

My local bus company has recently expanded and no longer has enough room for all of its buses. Twelve of their buses have to be stored outside. If they decide to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future. How many buses does the company currently own?

Hint: A tricky puzzle that will need a little algebra (or clever thinking).

Answer: 72 buses.

They have enough room for 60 of these, expanding the 60 capacity by 40% will give them enough room for 84, which we know is 12 more spaces than they currently need.

If they have B buses and S spaces before the expansion, they have enough room for:

S = B - 12 [1]

After the expansion they have more spaces, and enough room for:

S + 0.4 x S = B + 12 [2]

Rewriting [2] as:

1.4S = B + 12

and again as

B = 1.4S - 12 [3]

We can rewrite [1] as:

B = S + 12 [4]

Making [3] = [4] we have:

1.4S - 12 = S + 12

Subtracting S from both sides gives:

0.4S - 12 = 12

Adding 12 to both sides gives:

0.4S = 24

Multiplying by 10 and dividing by 4 on both sides gives:

S = 60

Using S = 60 in [4] gives B = 72. QED.

Puzzle 405

Using the BrainTracker grid below, how many words can you find? Each word must contain the central H and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?