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Guest Message by DevFuse


Member Since 18 Feb 2013
Offline Last Active May 26 2015 05:36 PM

#332280 The Best Performer

Posted by BMAD on 17 May 2013 - 04:32 AM



Let a, b, c, and d stand for the fraction of a project that A, B, C, and D can do within each day, respectively.
Spoiler for


I like your answer.  It is interesting how in America this problem is solved differently from my home country.



I'm intrigued. How do people from your country solve this problem?




brainden worker performance.png

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#332260 Whether to produce desks, tables, or chairs

Posted by BMAD on 17 May 2013 - 02:49 AM

Resource                 Desk                           Table                        Chair                          Availability

Lumber                    8 board ft                    6 board ft                 1 board ft                    48 board ft

Finishing                  4 hours                       2 hours                    1.5 hours                     20 hours

Carpentry                 2 hours                      1.5 hours                  0.5 hours                    8 hours

Selling Price             $60                            $30                           $20


Given the constraints listed in terms of time and wood available, how many of each object should be produced to maximize revenue?

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#332256 SteelCo

Posted by BMAD on 17 May 2013 - 02:38 AM

Steelco has received an order for 100 tons of steel.  The order must contain at least 3.5 tons of nickel, at most 3 tons of carbon, and exactly 4 tons of manganese.  Steelco receives $20/ton for the order.  To fill the order, Steelco can combine four alloys, whose chemical composition and cost is given in the table below:


                                            Alloy (%)

Content              1          2          3          4

Nickel                 6          3          2          1

Carbon               3          2          5          6

Manganese        8          3          2          1

Cost/Ton ($)      12        10        8          6


Steelco wants to optimize profit (revenue-costs) obtained from filling the order.  How much of each Alloy content type must they produce to achieve optimal profit?

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#332253 Solve the cryptogram II

Posted by BMAD on 17 May 2013 - 02:21 AM

18,8,21,24      22,24       2,1,1,25,   4,17,25    8     3,8,13,13    13,8,21,24;    18,8,21,24   22,24   3,4,9,24,10,    4,17,25,     8     3,8,13,13   25,8,24.     3,12,4,9      4,22      8?



The large punctuation is meant to be maintained when you resolve this cryptogram.  The small commas is only meant to separate the numbers they go together as a single word.



Like last time, i don't care if you can translate this cryptogram.  I want the correct answer in code.

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#332252 Number Logic Puzzles Part 2

Posted by BMAD on 17 May 2013 - 02:09 AM

logic numbers.png

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#332164 Walking man's delight

Posted by BMAD on 15 May 2013 - 01:29 AM

Enough with traveling salesman who hate long road trips.

Mario Andretti has joined the team, and he loves to drive!


His route today comprises eight towns, placed at the corners of an octagon.

Here are their coordinates:



City x y


 1   0 2

 2   0 4

 3   2 6

 4   4 6

 5   6 4

 6   6 2

 7   4 0

 8   2 0


The inter-city distances, to save some calculations, are N-S and E-W distances of 6, along with four different diagonal distances of 2.828, 4.472, 5.657 and 6.083


If Mario begins driving at city 1 (coordinates 0 2) and drives until he has visited them all, how far will he be able to drive, and what city will he visit last?


If his objective is to return to his hotel in City 1 after visiting the other cities, how long of a trip could he accomplish?


Are you saying what is the greatest path?

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#332155 The Best Performer

Posted by BMAD on 15 May 2013 - 12:43 AM

Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.


Who is the best performer?  Prove your answer.

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#332154 The Average Wage

Posted by BMAD on 15 May 2013 - 12:40 AM

The average hourly wages of men and women in company A are $21 and $16, respectively.  The average hourly wages of men and women in company B are $20 and $15, respectively.


If twenty percent of company A employees are men, and forty percent of company B employees are men, which company pays a higher average wage to their employees?

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#332149 Falsely accused correctly

Posted by BMAD on 15 May 2013 - 12:08 AM

                              Verdict Is Guilty                     Verdict is not Guilty

Committed Crime             80%                             20% False Negative

Innocent of Crime    10% False Positive                          90%


The above chart shows the rate that individuals are correctly found guilty or innocent of crimes in a particular jurisdiction.


If 1% of the population of residents in this county were tried in court, what are the chances that someone was correctly charged with crime?

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#332147 The Mathematical Milkman

Posted by BMAD on 14 May 2013 - 11:53 PM

The school children were returning to their homes when they met the mathematical milkman, who propounds the following problem:
In one of the two cans there is milk which is so rich with cream that it becomes absolutely necessary to dilute it with a little water to make it wholesome. 
Therefore, in the other can there is some pure spring water, now I proceed to pour spring water from can No. 1 into can No. 2 sufficient to double its contents, and then repour from No. 2 into No.1 enough of the mixture to double the contents. 
Then to equalize matters, I again pour from No. 1 into No. 2 to double the contents of No. 2 and find the same number of gallons of milk in each can, although there is one more gallon of water in can No. 2 than there is milk, so I want you to tell me how much more water than milk is there in can No. 1?

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#332129 Solve the cryptogram

Posted by BMAD on 14 May 2013 - 07:38 PM




I don't care if you can translate the cryptogram.  I want to know if you can solve the question.

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#332124 What is 50 factorial?

Posted by BMAD on 14 May 2013 - 07:19 PM

Reason why 30414093201713378043612608166064768844377641568960512078291027000 cannot possibly be the value of 50 factorial, without actually performing the calculation.


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#332116 Making Ice

Posted by BMAD on 14 May 2013 - 04:58 PM

You have an old-fashioned refrigerator with a small freezer compartment capable of holding seven ice cube trays stacked vertically. But there are no shelves to separate the trays, and if you stack one tray on top of another before the ice cubes in the bottom tray are fully frozen, the top tray will nestle into it, and you won't get full cubes in the bottom tray. You have an unlimited supply of trays, each of which can make a dozen cubes. What's the fastest way to make full-sized ice cubes?

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#332115 Death Penalty

Posted by BMAD on 14 May 2013 - 04:56 PM

You've been sentenced to death in an obscure foreign country which has a strange law. Before the sentence is carried out, two papers -- one with "LIFE" written on it and one with "DEATH" written on it -- are folded up and placed in a hat. You are permitted to pick out one of the papers (without looking), and if you choose the one with "LIFE" written on it, you are set free. Otherwise, the death sentence is carried out. On this occasion, a mean-spirited acquaintance of yours, bent on your demise, has substituted the paper with "LIFE" written on it with another one with "DEATH" written on it. This person gleefully informs you of what he has done and that you are doomed to die. You are not permitted to speak to anyone about this misdeed, nor will you have a chance to switch the papers or the hat yourself in time. How will you avoid certain death?


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#332114 Tricky Age

Posted by BMAD on 14 May 2013 - 04:53 PM

Two days ago, Suzy was 8. Next year, she'll be 11. How is this possible?

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