The Cognitive Reflection Test and a William Buckey Quote
William F. Buckley once said that he would rather be governed by the first few thousand names in the Boston telephone directory than by Harvard University. Today we can quantify that using the Cognitive Reflection Test (seen via Derek Lowe.
The Cognitive Reflection Test is a test of someone's ability to think for a second or two before jumping to a conclusion. It consists of the following three questions:
A bat and a ball cost $1.10 in total. The bat costs a dollar more than the ball. How much does the ball cost?
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
What is supposed to be the "obvious" answer to the first question?
Milhouse, the answer to the first question is $0.05 and $1.05.
Let's make it really easy:
1. The ball costs $0.05.
2. Five minutes. There are at least two possible routes to the same answer: Each machine takes 5 minutes to produce its widget, or five machines combine to produce one widget per minute. One hundred machines each making one widget in five minutes results from the first alternative, twenty teams of five machines with each team making one widget per minute results from the second alternative.
3. 47. If at 48 the colony covers the whole lake, and the colony doubled every time period, then the colony would cover half the lake at time period 47. This was the easiest of the three questions.
Yes, I know that, my question was what is the "obvious" answer supposed to be? Now that I read it again, I suppose the "obvious" answer is 10 cents. For some reason that didn't occur to me the first time I read it.
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