During a math exam, Willy asks Ms. Matilda, the teacher, how much time is left. Ms. Matilda is known for being obtuse and answers that the amount of time left is 1/5 of the time already completed and that is also how much time is left, in a manner of speaking.
15 minutes. The total exam time is 90 minutes. If 15 minutes are left, 75 minutes have already passed, and one fifth of 75 is 15. However, if you follow Ms. Matilda’s hint and pay attention to only the numbers in 1/5, you get the answer of 15 minutes as well.
Before any changes I’m a garlic or spice. My first is altered and I’m a hand-warming device. My second is changed and I’m trees in full bloom. The next letter change makes a deathly old tomb. Change the fourth to make a fruit of the vine. Change the last for a chart plotted with lines. What was I? What did I become? What did I turn out to be?
Twenty one points divide and dance, Twirling and leaping about, Ladies, Romans and knights of France, Craving a victor’s rout, Wrought of wood, ivory or bone, An exciting yet vicious pursuit, Ancient, forbidden and crooked, All in search of the loot.
A die. The standard die has 21 pips (or points), divided up on the six sides of the die which dance around when rolled. Ladies, knights and Romans all played dice as a pastime (though not together). Dice can be made of wood, ivory and bone, among other materials. Dice have been used in Asia since before recorded history and many governments tried unsuccessfully to outlaw the game. Professional gamblers were common and often used loaded dice. Desperate German chaps even bet their own liberty on a single roll of the dice.
They are the origins of the names of each day of the week.
Sunday – Sun day. Monday – Moon day. Tuesday – Tiw’s or Týr’s day, the god of single combat, son of Odin. Wednesday – Woden’s or Odin’s day, god of poetry and of the dead. Thursday – Thor’s day, god of thunder, son of Odin. Friday – Frigg’s day, goddess of the clouds, wife of Odin. Saturday – Saturn’s day, god of fertility and agriculture.
I hesitated to add this because it’s poorly worded, ambiguous and the answer could be almost anything. I prefer teasers with a single answer, but there you go.
If you came up with a different answer and can explain how you did it, don’t think you’re wrong. It’s probably just as valid. Feel free to share yours in the comments.
My answer for the first number is 2.
Here’s how I got it.
The generic rule for a number in the sequence is: 2^(n – 1) + 1, where n is the position in the sequence.
Note: The teaser doesn’t specify the position of 17. In this case, it’s fifth.
Position 1: (so n = 1) is 2^(1 – 1) + 1 = 2
Position 2: 2^(2 – 1) + 1 = 3
Position 3: 2^(3 – 1) + 1 = 5
Position 4: 2^(4 – 1) + 1 = 9
Position 5: 2^(5 – 1) + 1 = 17
For the curious, the next 5 numbers of the sequence would be:
It can’t be touched, but can be felt. It can’t be opened, but can be gone into. Those who seek it always find it under something, yet it moves from place to place.
Shade. You can’t touch shade, but you can feel its coolness. You can’t open shade but you can go into it. If you’re looking for shade it always has to be underneath something to block the light and shade moves as the light does.