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For The Mathematically Inclined

Anil Saigal
05/24/2017

Problem 1:

In American football the standard field dimensions are 120 yards long and 53 1/3 yards wide. What are the measures of angles  angles at the point where the diagonals intersect.


Problem 2:
Two gears are interconnected. The smaller gear has a radius of 4 inches, and the larger gear has a radius of 6 inches. The smaller gear rotates 90 degrees in 4 seconds. What is the angular speed, in degrees per seconds, of the larger gear?

 
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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-052517 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 05/11/17

Problem 1:
A class average score in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60? 

Problem 2:
Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?

Congratulations to Ramachandran Balakrishna and Kishore Balsara, who were the winners of the last set of puzzles.



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