Riddles, one at a time
I am a 4-digit number. My first digit is twice my last. My second digit is my first and last added together. All my digits add up to 20, and I am odd. What number am I?
The Four Clues
Write every digit in terms of the last one.
6923
Call the last digit x: the digits are 2x, 3x, 20 - 6x and x. x can only be 1, 2 or 3; 1 breaks the third digit and 2 makes it even, so x = 3: 6923.
Flatbread Pan
A pan holds 2 flatbreads. Each side needs 1 minute. How few minutes can it take to cook 3 flatbreads on both sides?
Do not wait for one flatbread to finish before starting the third.
3 minutes
Minute 1: A and B. Minute 2: A's other side and C. Minute 3: the other sides of B and C.
Old Phone Keys: Biggest Number
Which of the four words types the BIGGEST number?
All four start with 9, so compare the second digit.
WORD
WORD types 9673, ahead of WEST 9378, YEAR 9327 and WAVE 9283.
I am a three-digit number. My three digits are all different, and they multiply to 6. I am even, and I am less than 200. What number am I?
The Even Number
Which three different digits multiply to 6?
132
Different digits that multiply to 6 can only be 1, 2 and 3. Below 200 means starting with 1: 123 or 132. Only 132 is even.
Fewest Tokens: Pay 11
Which tokens pay 11 with the fewest tokens?
Biggest first is not always fewest. Try every pair.
5 + 6
Just 2 tokens. Biggest first, 9 + 1 + 1, needs 3.
Fewest Tokens: Pay 14
Which tokens pay 14 with the fewest tokens?
Biggest first is not always fewest. Try every pair.
7 + 7
Just 2 tokens. Biggest first, 10 + 1 + 1 + 1 + 1, needs 5.
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