Brain Teasers
1. Can you complete the grid such that every row and column contains the digits 1 to 6? The additional constraint is that all squares that are connected must contain the same digit.
Hint: Start with the three connected squares that contain the third column on the bottom row.
2. During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.
During the night, Alan woke up and decided to hide his share of the apples and hid a third, then promptly fell asleep again.
Brian woke up shortly after and also decided to hide a third of the remaining apples and he also dozed back to sleep.
Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.
Of course none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?
3. Three people check into a hotel. They pay Rs. 30 to the manager and go to their room. The manager suddenly remembers that the room rate is Rs. 25 and gives Rs. 5 to the bellboy to return to the people. On the way to the room the bellboy reasons that Rs. 5 would be difficult to share among three people so he pockets Rs. 2 and gives Rs. 1 to each person. Now each person paid Rs. 10 and got back Rs. 1. So they paid Rs. 9 each, totalling Rs. 27. The bellboy has Rs. 2, totalling Rs. 29. Where is the missing Rs. 1?
From brainbashers.com