At the end of the last volleyball season, the main results table had been destroyed. Luckily, a number of people could remember the following snippets:
Arlington Wonderers finished above The Mad Hatters and Derby Surefires.
Eagle Cherrys finished above Arlington Wonderers, The Mad Hatters and Derby Surefires.
Happy Hours finished above Brookside Magic and Eagle Cherrys.
Eagle Cherrys finished above Foxtrot Kilos and Chippy Flippers.
The Mad Hatters finished below Chippy Flippers and Eagle Cherrys.
Foxtrot Kilos finished before Brookside Magic, Derby Surefires and The Mad Hatters.
Derby Surefires finished below Foxtrot Kilos, Chippy Flippers and Brookside Magic.
Arlington Wonderers finished below Chippy Flippers and Eagle Cherrys.
Brookside Magic finished below Eagle Cherrys, Foxtrot Kilos and The Mad Hatters.
Derby Surefires finished below The Mad Hatters and Eagle Cherrys.
Foxtrot Kilos finished below Arlington Wonderers and Eagle Cherrys.
Can you restore the correct league positions?
[Ref: ZSAO] © Kevin Stone
Direct Link: www.brainbashers.com?ZSAO
The Mad Hatters
Someone drove from Aardvark to Beeville.
On the first day they travelled 1/3 of the distance.
On day two they travelled 1/2 of the remaining distance.
On day three they travelled 2/3 of the remaining distance.
On day four, after covering 3/4 of the remaining distance, they were still 5 miles away from Beeville.
How many miles had they covered so far?
[Ref: ZNKP] © Kevin Stone
Direct Link: www.brainbashers.com?ZNKP
Hint: Try working backwards.
The total trip was 180 miles. Working backwards:
Day 4: travelled 3/4 leaving 5 miles, which means that 5 miles is 1/4, so 20 miles were left at the start of Day 4.
Day 3: travelled 2/3 leaving 20 miles, which means that 20 miles is 1/3, so 60 miles were left at the start of Day 3.
Day 2: travelled 1/2 leaving 60 miles, which means that 60 miles is 1/2, so 120 miles were left at the start of Day 2.
Day 1: travelled 1/3 leaving 120 miles, which means that 120 miles is 2/3, so 180 miles were left at the start of Day 1.
Of the 180 miles overall, 175 were covered in the 4 days.
Imagine a grid comprising 20 X 20 squares.
How many squares, of any size, in total?
Direct Link: www.brainbashers.com?ZOIV
Hint: How many 1x1 squares are there, how many 2x2?
There is one 20x20, four 19x19, nine 18x18, sixteen 17x17, etc. The sum of the counts is 1 + 4 + 9 + 16 + 25 + 36 + ... + 400 = 2870.
DJ Music Festival
During a recent music festival, four DJs entered the mixing contest.
Each wore a number, either 1, 2, 3 or 4 and their decks were different colours.
DJ Skinf Lint came first, and only one DJ wore the same number as the position he finished in.
DJ Slam Dunk wore number 1.
The DJ who wore number 2 had a red deck and DJ Jam Jar didn't have a yellow deck.
The DJ who came last had a blue deck.
DJ Park'n Ride beat DJ Slam Dunk.
The DJ who wore number 1 had a green deck and the DJ who came second wore number 3.
Can you determine who came where, which number they wore and the colour of their deck?
[Ref: ZNQL] © Kevin Stone
Direct Link: www.brainbashers.com?ZNQL
Hint: A little logic is required.
Answer: # Name Wore Deck Colour
1 DJ Skinf Lint 2 red
2 DJ Park'n Ride 3 yellow
3 DJ Slam Dunk 1 green
4 DJ Jam Jar 4 blue