Given these equations, what is the answer to the last one?
5 3 2 = 151012
9 2 4 = 183662
8 6 3 = 482466
5 4 5 = 202504
7 2 5 = ?
Answer:
f(x,y,z) = 10000*(x*y) + 100*(x*z) + transpose_digits(x*y + y*z)
transpose_digits() just swaps the digits
143542
Two men are standing on one side of a bridge and two women are approaching them. One of the men says, “Here comes my wife and daughter” to which the second man replies, “Here comes my wife and daughter”. If they have not married the same woman and the women aren’t pregnant, how is this true?
Answer:
The men are widowers and married each others’ daughter.
You’re riding a horse. To the right of you is a cliff and in front of you is an elephant moving at the same pace and you can’t overtake it. To the left of you is a hippo running at the same speed and a lion is chasing you. How do you get to safety?
Answer:
Get off the merry-go-round.
You are given eight coins and told that one of them is counterfeit. The counterfeit one is slightly heavier than the other seven. Otherwise, the coins look identical. Using a simple balance scale, how can you determine which coin is counterfeit using the scale only twice?
Answer:
First weigh three coins against three others. If the weights are equal, weigh the remaining two against each other. The heavier one is the counterfeit. If one of the groups of three is heavier, weigh two of those coins against each other. If one is heavier, it’s the counterfeit. If they’re equal weight, the third coin is the counterfeit.
What is the next number in this series?
1, 2, 6, 42, 1806?
Answer:
To get the next number, multiply the previous number in the series by itself plus one: n * (n+1). For example, to get 6, multiply 2 * 2+1. To get 42 multiply 6 * 6+1.
Thus, 1806 * 1807 = 3263442.
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