Puzzle 285
Which is larger …
… the tenth root of 10, or the cube root of 2?
Puzzle Copyright © Kevin Stone
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Hint
You don't need to use a calculator.
Answer
Cube root of 2.
Reasoning
We could use a calculator to see that the tenth root of 10 = 1.2589 and the cube root of 2 = 1.2599.
But, if you've not got your calculator handy…
We have:
101⁄10 or 21⁄3
Raise each to the power of 30 (since 10 x 3 = 30) to give:
(101⁄10)30 or (21⁄3)30
101⁄10 x 30 or 21⁄3 x 30
103 or 210
1000 or 1024
Therefore, the cube root of 2 is larger.
Puzzle 286
What number comes next in this sequence:
3 · 3 · 5 · 4 · 4 · 3 · 5 · ?
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Hint
This is a very common sequence.
Answer
5.
The numbers represent the number of letters of the words ONE, TWO, THREE, etc. Therefore, the answer is the number of letters in the word EIGHT.
Puzzle 288
Tha Brainaasaera elactaonac ward aroaesaor aas aeea playiag ua.
It as raplaciag eaera thard aetaer aita an a. What saouad tais aaragraph aeaa?
Puzzle Copyright © Kevin Stone
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Hint
Look at every third letter.
Answer
The BrainBashers electronic word processor has been playing up.
It is replacing every third letter with an a. What should this paragraph read?
