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Archive of posts filed under the Thinking category.

Thinking: Averages

Another great puzzle at BrainBrashers today: A cricketer’s average in his first 20 innings was 15 runs per innings. After a further 10 innings, his average had increased to 17 runs per innings. What was his average for the last 10 innings? How in the world is cricket played? That score sounds like it will [...]

Thinking: Integer puzzle

Brainbashers had a straightforward puzzle today: What is the smallest integer, which, when multiplied by 3 gives a number consisting of only 4′s?. Go ahead, think about it. It’s not as hard as it sounds. Yes, now. Wait, wait, wait. Ok, here’s how I worked it out. Is the final answer 4? No, 4 is [...]

Thinking: Solving a Substitution Puzzle

Recently BrainBashers offered this puzzle: If Poland is 44 miles away, Canada is 42 miles away and Mongolia is 56 miles away, how far away is Peru? Try it yourself before reading on, I’ll wait. No, I’m serious, try it. It’s not that difficult. Basic algebra. Eighth grade? Ninth grade? When is algebra taught anyway? [...]