I use this blog as a soap box to preach (ahem... to talk :-) about subjects that interest me.

Thursday, August 18, 2011

Daily CalcuDoku

On July 10th, I missed the first anniversary of this blog, but I have just discovered that with the previous article I passed the 100-article mark.  Not too bad, even if the visitors are thousands instead of millions.

Anyhow, I invite you to solve my daily CalcuDoku by clicking on the following picture of a partially solved puzzle


A word of warning: these puzzles are very hard!

Then, you can tell me whether you like my implementation better than the Flash application you find in the original KenKen website kenken.com.

Tuesday, August 16, 2011

Checks on Senior Law-Enforcement Agents

Yesterday, I watched Four Corners (http://www.abc.net.au/4corners/stories/2011/08/15/3291474.htm), one of Australia’s leading current affairs programs (without advertising), and feel compelled to reflect on it.

Friday, August 12, 2011

Giza-IQ Test - Questions 15 to 20

Here are the last six numeric questions.  As usual, I will post the answers one by one in the near future.

2.05    ? W R O F ? V I N E ?

2.06    John has two girlfriends, Linda and Iris. Just in front of John’s place, there is a bus stop for the lines 23 and 37. Line 23 takes him to Linda, while line 37 takes him to Iris. The buses come equally often. Every day, John visits one of his girlfriends. Without looking at his watch, he takes the first bus that comes. After a few weeks though, Linda calls him crying and tells him that she doesn’t want to see him anymore. If he cared about her, she says between sobs, he would visit her more often than once a week. How can it be?

2.07    1011, 1001, 1011, 1010, ?, ?, ?, ?

2.08    Minesweeper is a computer game included in all versions of Microsoft Windows. If 10 mines are placed at random within a field of 5 x 4 positions and you start a round of the game by clicking on a position at random, what is the probability that all the positions adjacent to the one you have clicked on are occupied by mines? Provide the answer as a percentage with three digits after the decimal period.

2.09    628318530717??

2.10    In a game of Bingo with 90 numbers, what is the probability that the first five numbers drawn are in increasing order? (e.g., 2 6 25 72 83 or 50 53 77 82 89)

Friday, August 5, 2011

Giza-IQ Test - Questions 13 and 14

2.03    In a contest, three problems, A, B, and C are posed.  25 of the participants solve at least one problem each. Of all those who don’t solve problem A, the number of those who solve B is twice the number of those who solve C.  The number of participants who only solve problem A is one more than the number of those who solve A and at least one other problem.  Of all participants who solve just one problem, half do not solve problem A.  How many participants solve only problem B?

2.04    How many four-digit integers (i.e., between 1000 and 9999) cannot be changed to multiples of 1892 by replacing up to three of their digits?

Monday, August 1, 2011

Giza-IQ Test - Questions 11 and 12

New month, new questions.  I have already posted all my geometrical questions.  This month, I have numerical and combinatorial questions for you.

2.01    In a sport contest lasting n days (with n > 1), m medals are awarded.  On the first day, one medal and 1/5 of the remaining m-1 medals are awarded; on the second day, two medals and 1/5 of the then remaining medals are awarded; and so on.  On the last day, the remaining n medals are awarded.  How many days does the contest last and how many medals are awarded altogether?

2.02    Five students, A,B,C,D, and E take part in a contest.  One prediction was that the contestants would finish in the order ABCDE.  In fact no contestant finishes in the position predicted, and no two contestants predicted to finish consecutively actually do so.  A second prediction had the contestants finishing in the order DAECB.  This prediction was better:  Exactly two of the contestants finish in the places predicted, and two disjoint pairs of students predicted to finish consecutively actually do so.  Determine the order in which the contestants finish.