At a quirky fruit stand, an orange costs 18 cents, a pineapple costs 27 cents and a grape costs 15 cents. Using the same logic, how much does a mango cost?
Chuck and Ruby were going to meet at a hotel for their anniversary dinner, but Ruby didn’t show. Chuck was angry and left her a passive aggressive message on their kitchen table in the form of fifteen matchsticks spelling “hotel” and went to bed. When Ruby got home and saw the matchsticks, she removed one and went to bed. When Chuck woke up the next morning and saw Ruby’s new message, he realized his mistake. Which stick did Ruby remove and what was the new message?
Ruby had removed the top of the T and the new message could be seen upside down from where Chuck sat at his breakfast of sadness and anger. What he saw was 7 3 1 0 4, or 7/31/04, the date of their anniversary. In his excitement, Chuck had gone to the restaurant a day early, on July 30th. All was forgiven by both parties and Chuck and Ruby had a wonderful dinner together. They also promised to buy a whiteboard for the kitchen so they wouldn’t have to use matchstick messages ever again.
1 lb = A 2 lbs + A = B 3 lbs = B 4 lbs = A + B 5 lbs + A + B = C 6 lbs + B = C 7 lbs + B = A + C 8 lbs + A = C 9 lbs = C 10 lbs = A + C 11 lbs + A = B + C 12 lbs = B + C 13 lbs = A + B + C 14 lbs + B = D 15 lbs + B = A + D 16 lbs + A = D 17 lbs = D 18 lbs = A + D 19 lbs + A = B + D 20 lbs = B + D 21 lbs = A + B + D 22 lbs + A + B = C + D 23 lbs + B = C + D 24 lbs + B = A + C + D 25 lbs + A = C + D 26 lbs = C + D 27 lbs = A + C + D 28 lbs + A = B + C + D 29 lbs = B + C + D 30 lbs = A + B + C + D
I have many feathers to help me fly. I have a body and head but I’m not alive. Your strength determines how far I go. You can hold me in your hand, but I’m never thrown.
You have 12 black socks and 12 white socks mixed up in a drawer. You’re up very early and it’s too dark to tell them apart. What’s the smallest number of socks you need to take out (blindly) to be sure of having a matching pair?
Three socks. If the first sock is black, the second one could be black, in which case you have a matching pair. If the second sock is white, the third sock will be either black and match the first sock, or white and match the second sock.
