n people are standing in a queue. On average, how many of them can (truthfully) say that they are taller than everyone ahead of them?

NB The person at the front of the queue, can say that he is taller than everyone ahead of him. Assume that they are able to accurately determine their heights.

Five schoolchildren were weighed in pairs. Their (combined) weights were:

129, 125, 124, 123, 122,121, 120, 118, 116 and 114 lbs. What were their individual weights?

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, …

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 ?

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 .

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?

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

B DBBCC, DBADABCDA B AC

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Tom
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?

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Maths Challenge
Two x Two = Three

Can you make this work?

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Mathemagic
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?

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Logic