This is a multi-part question. I made it up, so it may not be perfect. I looked through it pretty good before posting it here. If you think something is wrong or have a question, the message me about it. Thanks. This one is for all you smarty-pants out there. There is one spot where you have to make an intuitive jump, the rest can be reasoned out, or be found by using simple math. If it's Ok, please message me the answer before posting in white in case you get part of it correct; but not all of it.(adsbygoogle = window.adsbygoogle || []).push({});

Three scientists claim to be the most intelligent. The head of the most highly coveted scientist position will give up his place to the one deemed to be most intelligent of the three.

To do this, he has setup a test where they will compete against the other two.

Each scientist was blind folded and then a symbol was painted on their foreheads. The color of the symbol can be red or blue and can be either a stone, a leaf or a bird.

When the blindfolds were removed, the head scientist told each of them that they had either a red or a blue symbol on their forehead.

The head scientist then asked them to raise one hand if they saw a red symbol on the head of at least one person. Each of them raised one hand.

After that, the head scientist told them to figure out what color of symbol was on their own foreheads. Time passed and none of the scientists said anything.

Then one scientist stepped forward to give his answer. His answer was correct. What did he say?

If his answer was a color, then x = number of symbols represented by that color.

If his answer was something else, then x = 5.

3x + 2£ - 1æ = 9

5x + 3£ + 2æ = 36

What are £ and æ?

£, æ, 9, 10, a, b

With the sequence above, what are a and b? (Use Base 12 number system to determine your answer.)

Place a "O" in the corresponding number for a and b along with the first grid provided, the rest will be dashes.

This creates a pattern. What number are the slots for the fourth grid using the number grid below?

01 02 03 04

05 06 07 08

09 10 11 12

13 14 15 16

For example... if a = 4 and b = 2, and the initial two positions in 7 and 11 are given, then the first grid will look like this:

- O - O

- - O -

- - O -

- - - -

Grid# 1:

? ? ? ?

? ? O ?

? ? O ?

? ? ? ?

Grid# 2:

O - - O

- O - -

- O - -

- - - -

Grid# 3:

O - - O

- O - -

- O - -

- - - -

Grid# 4:

? ? ? ?

? ? ? ?

? ? ? ?

? ? ? ?

Lowest number "O" is #a, the next lowest number "O" is #b, and so on to #c and finally #d.

Clue me in.

Decipher:

15 10 01 02 04 09 09,

T 01 03 09

W 10 09

#d 10 09 #c

03

10 02

#a 03 N #b

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# A small problem

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