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Balance puzzle. A balance puzzle or weighing puzzle is a logic puzzle about balancing items—often coins—to determine which holds a different value, by using balance scales a limited number of times. These differ from puzzles that assign weights to items, in that only the relative mass of these items is relevant.
11 is a prime number, and a super-prime. 11 forms a twin prime with 13, [6] and sexy pair with 5 and 17. The first prime exponent that does not yield a Mersenne prime is 11. 11 is part of a pair of Brown numbers. Only three such pairs of numbers are known. Rows in Pascal's triangle can be seen as representation of powers of 11.
Correct answers can be filtered from false positives because the system can rely on versions of the correct answer appearing more times in the corpus than incorrect ones. Some question answering systems rely heavily on automated reasoning. [11] [12]
The shape of the islands in the background spells out 42, and there are 42 coloured balls. The 42 Puzzle is a game devised by Douglas Adams in 1994 for the United States series of The Hitchhiker's Guide to the Galaxy books. The puzzle is an illustration consisting of 42 multi-coloured balls, in 7 columns and 6 rows.
Product (mathematics) In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors. For example, 21 is the product of 3 and 7 (the result of multiplication), and is the product of and (indicating that the two factors should be multiplied together).
If the hundreds digit is odd, the number obtained by the last two digits must be 4 times an odd number. 352: 52 = 4 x 13. Add the last digit to twice the rest. The result must be divisible by 8. 56: (5 × 2) + 6 = 16. The last three digits are divisible by 8. [2][3] 34,152: Examine divisibility of just 152: 19 × 8.
In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, 31131211131221, ... (sequence A005150 in the OEIS). To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups ...
Four fours. Four fours is a mathematical puzzle, the goal of which is to find the simplest mathematical expression for every whole number from 0 to some maximum, using only common mathematical symbols and the digit four. No other digit is allowed. Most versions of the puzzle require that each expression have exactly four fours, but some ...