2014-10-22

189. Knights of the round table



Five people, Α, B, C, D and E, are seated at a round table.  Α is seated as shown in the diagram.  The following conditions describe the seating arrangement:

⒜  From C’s position, B is seated to C’s left.
⒝  E and D are seated next to each other.
⒞  E and Α are seated next to each other.
⒟  B and D are not seated next to each other.

Determine the complete seating arrangement.

2014-10-14

188. Flag of Ireland, desecrated


In the diagram, a rectangle that has area 288 cm² and a length to width (breadth) ratio of 2:1 is divided equally into three smaller rectangles, tastefully coloured green, white and orange.  Then, shockingly, diagonal lines are drawn, and letters are strewn about, as shown below.

2014-10-13

187. Gone shopping


There are three types of items for sale, Α, B and C, with the cost of one of each item 20 cent, 30 cent and 50 cent, respectively.  Some items Α, B and C were purchased for a total cost of €19.80 (1980 cent).  If the quantities of purchased items Α and B were reversed, the total cost would be €20.20 (2020 cent).  If the quantities of purchased items Α and C were reversed, the total cost would be €21.60 (2160 cent).  Determine the quantity of item Α that was purchased.