Puzzle 249
Which is larger?
3 raised to the 5th power
5 raised to the 3rd power
Puzzle Copyright © Kevin Stone
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Hint
3 raised to the 5th power is 3 x 3 x 3 x 3 x 3.
Answer
3 raised to 5th power.
Reasoning
3 raised to the 5th power = 3 ^ 5 = 3 x 3 x 3 x 3 x 3 = 243
and
5 raised to the 3rd power = 5 ^ 3 = 5 x 5 x 5 = 125.
Puzzle 250
What is the next number in this sequence:
100 365 24 60 ?
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Hint
The answers are related to time.
Answer
60.
The numbers represent 100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour and 60 seconds in an minute.
Puzzle 251
My BrainBashers calculator is low on batteries again, and the following multiplication is wrong. Can you correct it?
Each of the numbers has the correct digits, but they have been mixed up.
Luckily, the solution is correct, which makes the task a little easier.
2471
3725 x
————————
22084429
Puzzle Copyright © Kevin Stone
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Hint
How can the answer end in 9?
Answer
4,217 x 5,237 = 22,084,429.
Reasoning
The only way the answer can end in 9 is if the two numbers both end in 7 (7 x 7 = 49).
The only way we can reach 22 million is if the two numbers begin with 4 and 5 respectively.
This leaves each number with just 2 options, and the answer is quickly found.
Puzzle 252
These five words are connected somehow, which word is missing?
origami
reptilian
?
nuclei
gliding
echo
Choose from:
albatross, approved, bingo, furtive, pedalled, zebra
Puzzle Copyright © Kevin Stone
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Hint
The words are linked by their letters.
Answer
Approved.
The initial letters spell ORANGE and the last letters spell INDIGO.
