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Eighty20 Print E-mail
eighty20_logo.png  Providing Market Research Insights 


About Us

eighty20.png  We are a niche consulting company that has created new and innovative ways to access South African and International Consumer data. Our main product is the Consumer Information Portal that enables clients to easily access relevant market research data. We have modified our original product to include an entirely web based product called the Eighty20 FP. In addition we do bespoke consulting work, create pre-packaged reports on many topics. 


Bursary programmes


Eighty20 has launched a bursary scheme for students on the extended curriculum programme run by the Faculty of Economics and Management Sciences at the University of the Western Cape. The programme aims to provide students from educationally disadvantaged backgrounds with the fundamental skills needed to cope with graduate studies. Eighty20 awards partial bursaries to four of the most promising students on this programme who have performed exceptionally well during their first year.


Internship Programmes

eighty20_interns.png  In addition to receiving a partial bursary two students are offered an internship during university holidays. The internship provides students with practical work experience in an office environment. At the same time it offers Eighty20 the opportunity to learn from the insights and life experience of the interns. 

Careers

We encourage our employees to take UNISA courses, on any subject, for a degree or just for fun (which are funded by us). We do this, because we are committed to a culture of learning and career development.

We employ economists, MBAs, actuaries, and statisticians. So if you want to work for us you need strong numeracy skills, be logical and analytical. If that is you then you will love our Eighty20 Challenge. If you want to be hired then you have to complete the challenge. Please see the job board for current vacancies at Eighty20. Select four puzzles (not just the easy ones please), and send your answers and CV to This e-mail address is being protected from spam bots, you need JavaScript enabled to view it   Don’t forget to reference the JOB TITLE in the subject line.


The Eighty20 Challenge

The first challenge

eighty20_logo.png  Have a good look at our logo. It fits in with the analytical and quantitative emphasis of our approach. What do the blocks in the logo represent?
Difficulty rating: pretty easy
 
The prisoner and the guards

You are a prisoner with two guards, each guarding one door to your cell. One guard always lies and one is always truthful, but you do not know which is which. You may leave your cell by one of the two doors. One leads to the execution block and death. The other to freedom. You may ask only one question, which you may address to either of the guards but not to both. What do you do?
Difficulty rating: simple


Buying cherries

Cherries are very popular in South Africa. In one warehouse 1,000kg of fresh cherries are stored. The cherries contain 99% water when fresh, but a few days later, a test showed that there was now only 98% water, due to the drying out of the cherries. What do the cherries weigh now?
Difficulty rating: basic


Crazy dog

John and Paul are on their bicycles, distance L apart. They begin at the same time to move towards each other, each pedaling as fast as they can intending to collide. At the instant they begin, their dog who loves them both leaves John and runs as fast as he can to Paul, who pats him on the head, at which point he turns and runs back to John. All this is repeated until the cyclists collide. How much distance is covered by the dog? Assume that John and Paul move with constant velocity v1 and v2, and the dog moves with speed u and is able to turn around instantly.
Difficulty rating: challenging


A bicycle problem

eighty20_bike_problem.png  A bicycle as shown in the picture is a perfectly good bicycle except that it has a piece of string caught up in the rear wheel. If we pull the string in the direction P, will the bicycle move forward, move backward or 'stay put'? Assume that the wheel does not slip on the ground. 
Difficulty rating: just try it
Happy birthday

The year is 2007.Two days ago I was ten years old; Next year I shall be thirteen. What is the date today and when is my birthday?
Difficulty rating: trivial


Road map

eighty20_road_map.png  This is a map of the Roads from A to B. Every line is a road. If I start to walk from A to B and you start to walk from B to A at the Same speed, what is the probability that we shall meet? You can take any route you like except that it mustn't go back along a path or away from your destination. For instance, if you come from B to A you must always move from East to West or North to South. What is the probability of us meeting if I cycle and hence travel three times as fast as you?
Difficulty rating: really difficult
 

Death circle

N prisoners are to be put to death, except for one, who will be set free. The method to determine who will be set free is as follows: All prisoners stand in a circle. A gun is given to a prisoner 1, and he has to shoot dead the prisoner to his left. He then passes the gun to the next (alive) prisoner on his left, who, in turn will shoot the prisoner on his left, and pass the gun to the next person on his left, and so on. For example if N=5 prisoners are standing in a circle (call them prisoner 1, 2, 3, etc).

- 1 shoots 2, and passes the gun to 3.
- 3 shoots 4, and passes the gun to 5.
- 5 shoots 1, and passes the gun to 3 (2 is already dead)
- 3 shoots 5, and 3 is the last one left. He is set free.

Who is set free for N=100. Any arbitrary N?
Difficulty rating: hard


Throwing dice

In a pub the owner is throwing a number of dice simultaneously. "I am trying to get one of each of the six faces", he says, "But it hasn't happened yet". "No", I said "You need at least four more dice to make the odds in favour of such a thing" How many dice does the owner have?
Difficulty rating: tricky

Square field


eighty20_square_field.png  Consider a square field with a man standing at each of its four corners. If each man walks directly towards the man on his right they will all eventually reach the middle of the field together. Assuming they walk at the same speed, how far will each man have to walk?
Difficulty rating: a challenge to explain  
Self-referring numbers

Certain numbers can be expressed as a function of their own digits, while maintaining the order of the digits. For example 36=3! x 6. Can you find the formulation for 71, 119, 720, 733 and 936? (If you're feeling adventurous, try 24,739.)
Difficulty rating: easy to hard

Bottle of wine

Three men order a bottle of wine at R30 to drink with their meal. They each pay R10 for it. The waitress asks the manager who only has a bottle at R25, so he gives the waitress the wine and R5 change. She returns to the table but gives only R3 back keeping R2 for herself. Since each man paid R10 and received R1 change he has paid R9. But 3 X 9 = R27 which with the R2 kept by the waitress makes R29. Where did the R1 go?
Difficulty rating: really easy


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For more information, please visit our website.

To view see if there are any vacancies for Eighty20, please visit the job board.

Coming soon: A Day in the life of ... Eighty20 EMPLOYEES!