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| For The Mathematically Inclined |
Anil Saigal
05/18/2016
Problem 1 A 12 by 25 by 36 cm cereal box is lying on the floor on one of its 25 by 36 cm faces. An ant, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path? Problem 2 Find all 8-digit natural numbers n such that n2 ends in the same 8 digits as n. Numbers are written in standard decimal notation, with no leading zeroes. Solutions Problem 1 The mean of following numbers is 68. What is the median? Problem 2 The minute hand of a clock is twice as long as the hour hand. At what time, between 00:00 and when the hands are next aligned (just after 01:05), is the distance between the tips of the hands increasing at its greatest rate? ---------------------------------------------------------------------------------------------------------- Please send your solutions anil@lokvani.com. Use Problem Solutions M-051916 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. --------------------------------------------------------------------------------------------------------
42,52,60,x,69,70,26,81 and 94.
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