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For The Mathematically Inclined

Anil Saigal
04/08/2014

PROBLEM #1

What comes next in this letter sequence: ZOTTFFSSE

PROBLEM #2
Find the number x that satisfies these two properties:
  • The digits of  add up to a number x where x equals times the number you get when you reverse the digits of y.
  • Reverse the digits of and find the prime factors of the number you get. Then take the sum of the squares of these prime factors and halve it. Removing the digit 0 from the new number yields back x.
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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-041014 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.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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Problems from 03/27/14

PROBLEM #1
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?

Solution
 

PROBLEM #2
Triangle ABC is isosceles with AB = AC.  Point D on AB is such that angleBCD = 15° and BC = root 6AD.  What is  angleCAB?

Solution
 

Congratulations to Kishore Balsara and Saba Lateef, who were the winners of the last set of puzzles. Here are two puzzles for one and all!



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