## Complete the sequences

I) 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, …

II) 1, 2, 4, 8, 16, 31, … (not 32)

III) 1, 25, 23, 13, 3, 14, 15, 16, 8, …

I) 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, …

II) 1, 2, 4, 8, 16, 31, … (not 32)

III) 1, 25, 23, 13, 3, 14, 15, 16, 8, …

Posted by Karys under Tom (5 Responds)

In a 6×6 grid of crosses :

**x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x**

1) Remove 6 xs, so that in each column and each row has an even number of xs. Try removing 8 xs instead of 6.

2) How many such possible combinations are there ?

Posted by TheWyvern under SharedPuzzle (11 Responds)

how could we measure the speed of light from holy book (Any holy book .i.e. the holy qur’an – the bible …etc)..but the proof from within it’s verses ..?! of course the Proof will mainly depend on scientific explanation to get the speed of light .

Posted by Karl Sharman under Tom (14 Responds)

What is the 5-digit number in which the sum of the first two digits is one smaller than the third, the third is double the fourth, the fourth is double the last, the third is the product of the fourth and fifth, the second is five more than the first, and the first is one-eighth the third and also one-fourth of the fourth?

Tags: Mathemagic
Posted by Karl Sharman under Tom (4 Responds)

Can you decode the following well known saying. Each encoded letter represents more than one real letter:

B DBBCC, DBADABCDA B AC

Posted by Karl Sharman under Tom (23 Responds)

During his career as a Formula 1 racing car, Roary managed to complete a lap at Silver Hatch Race-track with an average speed of 150 mph. He managed to complete the first two fifths of the lap length at a speed of 123 mph and the second two fifths of the lap length at a speed of 164 mph. At what speed was the final one fifth of the lap length covered?

Tags: Maths Challenge
Posted by Karl Sharman under Tom (15 Responds)

Two x Two = Three

Can you make this work?

Posted by Karl Sharman under Tom (8 Responds)

Heres a simple bit of binary code…. translate back into english, and answer the question…

Unsurprisingly, I’m giving no hints at this stage, and I’ve removed spaces and punctuation, except the question mark.

110011101001000100110011100110011110110

101100101100110010011101101001111010111

001010010000101011101011010110010110011

010010001111101011111000101001001101001

011111111010111001001000101110010000100

111010011100111011101100110011100111011

000011001011000110101101100111010010011

111111010111100011010010011001111111110

101100001100101011001111111110101?

Oh, alright, z=11010… is that enough help?

Tags: LogicThe name of the game is

Petals Around the Rose, and that name is significant. Newcomers to the game can be told that much. They can also be told that every answer is zero or an even number. They can also be told the answer for every throw of the dice that are used in the game. And that’s all the information they get.The person who has the dice and knows the game, rolls five dice and remarks almost instantly on the answer. For example: in Roll #1 the answer is two.

Roll #1.

“The answer is what?” says the new player.

“Two.”

“On that roll?”

“Yes.”

“Would it still be two if I moved the dice without turning any of them over, just rearranging the pattern?”

“I can tell you only three things: the name of the game, the fact that the answer is always even, and the answer for any particular throw. In this case the answer is two.”

“So that’s how it is. What am I supposed to do?”

“You’re supposed to tell me the answer before I tell you. I’ll give you all the time you want, but don’t tell me your theory, just the answer. If you figure it out, you don’t want to give the idea away to these other jokers around you. Make them work for the answers, too. If you get the answer right on six successive rolls, I’ll take that as prima facie evidence that you understand the game.”

“OK, roll again.”

Roll #2.

“I give up. What’s the answer?”

“The answer is eight.”

“Roll again.”

Roll #3.

The answer is fourteen.

Roll #4.

The answer is zero.

Roll #5.

The answer is four.

Roll #6.

What is the answer for roll #6?

Posted by Karys under Tom (27 Responds)

There is a chinese short story telling about a minister (or whatever) who weighs the Emperor’s elephant.

**How could he have done that, without having to make any giant weighing machine ?**

You are not specifically asked to find the story where this came from. Here, originality and practicability are the key.

Tags: Tom