For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
07/15/2014

Problem #1

What is the missing number in Figure 1 on the right.

Problem #2

What is the coefficient of a⁸b⁸ when you expand (a+b)¹⁶?

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Solutions from 7/3/2014

PROBLEM #1

Bodo weighs 120 pounds more than his sister Pamela. Their combined weight is 160 pounds. How many pounds does Bodo weigh?

SOLUTION #1

140 lbs.

PROBLEM #2
Divide $188 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $188, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?

SOLUTION #2

8 bags.

Congratulations to Kishore Balsara, Abhimanyu Bhargava, Aseem Chandawarkar, Saroj Gandhi and Riya Misra, who were the winners of the last set of puzzles.

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Figure 1