FOR CHILDREN

PROBLEM # 1
Start with a square piece of paper. Draw the largest circle possible inside the square, cut it out and discard the trimmings. Draw the largest square possible inside the circle, cut the square out and discard the trimmings. What fraction of the original square piece of paper has been cut off and thrown away?

FOR GROWNUPS

PROBLEM # 2
Observe the cube (Figure 1). Find the measure of angle ABC that is formed by the dashed segments.

-------------------------------------------------------------------------------------------------------------

Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-011305 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.

-------------------------------------------------------------------------------------------------------------

SOLUTIONS TO PROBLEMS ON 12/30/04

FOR CHILDREN

PROBLEM # 1
After a census was taken in 2000 it was found that compared to 1995 the population of Newtonville increased by 20 percent while the population of Kepler City decreased by 10 percent. Also, it was discovered that in 2000 that the two populations were equal. What percent of the 1995 population of Kepler City was the 1995 population of Newtonville?

SOLUTION
75%.

Congratulations to Sarthak Pani and others, who submitted correct solutions to  the last set of puzzles.

|