Weekend Open Forum

If you are of a mind to overshare with the Confidential Community, this is the place to do it!

Weekend Open Forum

A little reminder in case you feel things aren't going your way.

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And here's something to test the mind.

QUESTION:
Of the 100 people at a recent party, 90 spoke Spanish, 80 spoke Italian, and 75 spoke Mandarin. At least how many spoke all three languages?

Click here for the answer


45

EXPLANATION:
10 could not speak Spanish, 20 could not speak Italian, and 25 could not speak Mandarin. So there could have been 10 people who spoke none of those languages.

However, that would maximise the number of people who could speak all three, and the problem asks at least how many speak all three. Therefore, we must assume that these 10, 20, and 25 people are all separate people. Having identified 55 each of whom is missing one language, the remaining 45 speak all three.

Now it's time to join the conversation. Have a great weekend.

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