Diwali, also referred to as Deepavali and Divali, is an important festival in India known as the festival of light. Diwali is a national holiday in countries such as India, Trinidad & Tobago, Myanmar, Nepal, Mauritius, Guyana, Singapore, Surinam, Malaysia, Sri Lanka and Fiji. This year the festival begins on the 30th of October and ends on the 3rd of November.

More than 800 million people celebrate this festival in various ways. We at Expii were inspired by this widely celebrated holiday and wanted to incorporate it into Solve to help reach and cross borders around the world.

From surface area of a sphere to parabolas and optimization on different intervals, Solve set 47: Diwali makes you think creatively using math to solve these puzzles.

Ease yourself into Solve Set 47 with Question 1: Only Time Can-dle:

Diwali is the festival of lights. Celebrations are filled with fireworks, diyas, and candles, creating stunning designs. You are designing a rangoli and want to use three candles of different sizes. You know that each size of candle has a different burning time, the small ones will burn for exactly 1 hour, medium for exactly 3 hours, and the large for exactly 4 hours, but they do not burn at constant rates. You could measure 5 hours exactly by first burning the 1 hour candle, and then burning the 4 hour candle as soon as the 1 hour candle finishes. However, you could not burn the 4 hour candle halfway to measure 2 hours, because you would not know where halfway is, since the candle doesn’t burn at a constant rate. Of the options below, which is the longest length of time from now that you cannot measure exactly?

Answer here. Good luck! Have a safe and fun Diwali!

Solve Set 47: Diwali