Answer
Here are the contents of the containers after each stage:
A = 9 litres, B = 4 litres
A B
9 0 fill A
5 4 fill B from A (leaving 5 litres in A)
5 0 empty B
1 4 fill B from A (leaving 1 litre in A)
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A (only 3 more litres fit in B)
6 0 empty B
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?
Reasoning
At each stage, a new dot starts at the top. The first dot moves clockwise, the second dot moves counter-clockwise, the third dot moves clockwise, etc.
Hint
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.
Answer
Inches in a mile.
Reasoning
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.
So:
1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 63,360 inches in a mile.
And:
There are approximately 1,000 x 52 = 52,000 Sundays in a thousand years. Depending on the day of the week the first day of the year falls, there are actually either 52,177 or 52,178 Sundays in a thousand years.
