Puzzle 5
Student Accommodationall logic puzzles
Alex, Bret, Chris, Derek, Eddie, Fred, Greg, Harold, and John are nine students who live in a three-storey building, with three rooms on each floor. A room in the West wing, one in the centre, and one in the East wing. If you look directly at the building, the left side is West and the right side is East. Each student is assigned exactly one room. Can you find where each of their rooms is:
Harold does not live on the bottom floor.
Fred lives directly above John and directly next to Bret (who lives in the West wing).
Eddie lives in the East wing and one floor higher than Fred.
Derek lives directly above Fred.
Greg lives directly above Chris.
Puzzle Copyright © Chris Joh
Puzzle 6
Tommy: "How old are you, mamma?"
Mamma: "Let me think, Tommy. Well, our three ages add up to exactly seventy years."
Tommy: "That's a lot, isn't it? And how old are you, papa?"
Papa: "Just six times as old as you, my son."
Tommy: "Shall I ever be half as old as you, papa?"
Papa: "Yes, Tommy; and when that happens our three ages will add up to exactly twice as much as to-day."
Tommy: "And supposing I was born before you, papa; and supposing mamma had forgot all about it, and hadn't been at home when I came; and supposing--"
Mamma: "Supposing, Tommy, we talk about bed. Come along, darling. You'll have a headache."
Now, if Tommy had been some years older he might have calculated the exact ages of his parents from the information they had given him. Can you find out the exact age of mamma?
Mamma's Age, Amusements In Mathematics, Henry Ernest Dudeney.
Puzzle 7
Start in the bottom left corner and move either up or right, one square at a time, using the numbers and the mathematical signs along the way. What is the largest total you can make?
| + | 2 | − | 4 | + | 2 |
| 2 | + | 2 | − | 2 | + |
| − | 1 | + | 3 | − | 3 |
| 2 | − | 3 | + | 1 | − |
| + | 1 | − | 3 | + | 2 |
| 3 | + | 3 | − | 2 | + |
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle 8
Our local scrap merchant had to travel to the county recycling plant, 60 miles away.
On the way there, the wagon was fully laden, so could only manage a steady 12mph.
On the way back, the wagon was much lighter and could manage a steady 16mph.
The wagon started with 24 gallons of fuel in the tank ready for the round trip, which was easily enough fuel as the wagon managed to travel 8 miles for each gallon.
Unfortunately, a piece of metal had pierced the fuel pipe at the very start of the trip, and the wagon began to lose 1 gallon of fuel every hour.
Luckily, it only lost fuel when moving and lost no fuel while unloading the scrap metal.
Were the 24 gallons enough for the entire round trip?