Logic Daily

This blog will challenge the minds of the readers with new logic and mathematics puzzles coming out multiple times per week. Check back often to exercise your brain. Answers will usually be available shortly after posting. Sometimes an open-ended question will be left open for debate.

Wednesday, May 6, 2009

1 Integer

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Find a positive integer whose first digit is 1 (1abcde...) and when the 1 is moved to the opposite side (abcde...1) the number has tripled.

Cubes - Math Puzzle

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Consider any 3 consecutive integers. Prove that the sum of the largest can not equal the sum of the cubes of the other 2.

Polynomial - Math Puzzzle

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Suppose that f(x) is a polynomial with non-negative integer coefficients. How would you be able to determine the polynomial in under 10 ques...

2=1 Math Puzzle

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Proof that 2=1: a = b a^2 = ab a^2 - b^2 = ab-b^2 (a-b)(a+b) = b(a-b) a+b = b b+b = b 2b = b 2 = 1 Why is this argument false? Solution (Hig...

Where's the father? - Math Puzzle

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The mother is 21 years older than the child. In 6 years from now, the mother will be 5 times as old as the child. Question: Where's the ...
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Unusual Paragraph

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How quickly can you find out what is so unusual about this paragraph? It looks so ordinary that you would think that nothing is wrong with i...

Half Full or Half Empty? - Logic Puzzle

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You are in an empty room and you have a transparent glass of water. The glass is a right cylinder, and it looks like it's half full, but...
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