Puzzle 33
By changing the third letter of each of the words below, can you make another valid word?
You have to change each word such that the third letters will reveal a ten-letter word when read downwards.
Therefore, what now reads 'krzsaprokg' will be a real word.
bake
cure
maze
pest
neat
rope
port
food
poke
bugs
Puzzle Copyright © Kevin Stone
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Hint
The first word is base.
Answer
Strawberry.
bake = base
cure = cute
maze = mare
pest = peat
neat = newt
rope = robe
port = poet
food = ford
poke = pore
bugs = buys
Puzzle 34
Can you find three consecutive even numbers that …
… total 85,008 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try starting with the cube root of the number.
Answer
42, 44, and 46.
Reasoning
As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 ≈ 43.97.
We can now check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.
And as we know that we need consecutive even numbers, we soon find 42 and 46 as the remaining numbers.
Double-Checking
42 x 44 x 46 = 85,008.
Puzzle 35
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 a minute.
Puzzle 36
If cat and a half can catch a mouse and a half in a day and a half how many mice can 3 cats catch in 3 days?
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Hint
How many mice does one cat catch?
Answer
Six mice.
1.5 cats catch 1.5 mice in 1.5 days.
so
1 cat catches 1 mouse in 1.5 days.
1 cat catches 2 mice in 3 days.
Therefore
3 cats catch 6 mice in 3 days.
