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For The Mathematically Inclined

Anil Saigal
08/23/2016

Problem 1
A parent rewards a child with 50 cents for each correctly solved mathematics problem and fines the child 30 cents for each incorrectly solved problem. If the child nets $22.00 after 100 problems. How many problems were solved correctly?

 

Problem 2
In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology but not Spanish?


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-082516 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 08/11/16

Problem 1
If,
1 = 49
2 = 51
3 = 52
then
4 = ?

Problem 2
What is the missing number in the series:
3, 5, 13, 43, 177, ??, 5353

Solution
891.

Congratulations to Amit Lele, who was the winner of the last set of puzzles.



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