## Easy puzzles

You are given two cords that both burn exactly one hour, not necessarily with constant speed. How should you light the cords in order to determine a time interval of exactly 15 minutes? Extra question: how to light just one cord and measure 15 minutes?

Hint
Solution
Source: Quant Interview
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There are 10 black socks and 10 white socks (no left-right distinction) in the wardrobe. Your task is to draw the minimum number of socks at random to be sure you have a pair of a single color. How many socks should you draw?

Hint
Solution
Source: Common
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Assuming that temperature varies continuously, prove that there are always two opposite points on the Earth's surface that have the same temperature.

Solution
Source: Top Quant Interview
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Probability of accidents on a road in one hour is 3/4. What is the probability of accidents in half hour?

Hint
Solution
Source: Placement tests
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Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?". What is the probability to win car if you switch?

Solution

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