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| For The Mathematically Inclined |
Anil Saigal
03/27/2014
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?
Triangle ABC is isosceles with AB = AC. Point D on AB is such that 
BCD = 15° and BC = 
AD. What is CAB?
BCD = 15° and BC = AD. What is CAB?Please send your solutions to mr.asaigal@gmail.com.
Use Problem Solutions M-032714 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 03/13/14
PROBLEM #1
What is the area of the largest semicircle that can be inscribed in the unit square?
Solution
0.539012
0.539012
A perfect square has length n if its last n (decimal) digits are the same and non-zero. What is the maximum possible length?
±38 (mod 500.)
Congratulations to Abhimanyu Bhargava, who was the winner of the last set of puzzles. Here are two puzzles for one and all!
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