快猫短视频

#127 Brahms and Liszt

At the International Pianist Competition, the judge has made a list of the top five contestants together with the composers they played. However, still recovering from a heavy night on the town, he has made a howling error.

Although each item is in the correct column, he has only managed to get one item correctly positioned in each column. The following facts are true about the correct order:

1) Edgar is one place after Iddyhat.

2) Jabber is one place before Prokofiev.

3) Khachaturian is one place before Hobble who is two places after Claudio.

4) Agnes is two places before Schubert.

Can you find the correct first name, surname and composer for each position?

Solution next week

#126 More chocs-a-weigh

Solution

6.5 kilograms will weigh up to 32 chocolate bars. If we label the machines A, B, C, D and E, Hazel can put one bar from A on the scales, two from B, and 4, 8 and 16 from C, D and E, totalling 31.

If perfect, the bars would weigh 31脳200 grams = 6.2 kilograms in total, so the shortfall below 6200g divided by 5(grams) gives the number of defective bars.

There is only one way to make this number using 1, 2 , 4, 8 and 16. For example if the shortfall is 70g, divide by 5 to yield 14, and that can only be made up as 2 + 4 + 8. This corresponds to machines B, C and D at fault. This allows Hazel to determine the machines at fault with a single weighing.