Puzzle 13
Can you find a number …
… whose double exceeds its quarter by 7.
Puzzle Copyright © Kevin Stone
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Hint
The number is less than 100.
Answer
4.
4's double is 8, and 4's quarter is 1.
Reasoning
If the missing number is N, then:
2N = N + 7
—
4
Multiply throughout by 4:
8N = N + 28
Subtract N from both sides:
7N = 28
Divide throughout by 7:
N = 4
Puzzle 14
You can replace the dashes with the same four-letter word, and create two new words, one that starts with ARM, and one that ends in ING.
Can you find all possible four-letter words that work?
arm----
----ing
Puzzle Copyright © Kevin Stone
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Hint
There are 4 possible answers.
Answer
Band, load, lock, and rest, all create new words:
armband and banding
armload and loading
armlock and locking
armrest and resting
Note
Some dictionaries also allow ARMRACK, but others don't. So RACK is a unofficial possible answer.
Puzzle 15
What number comes next in this sequence:
31 · 30 · 31 · 31 · ?
Clue: the answer is NOT 30!
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Hint
Does it start with January?
Answer
28.
The number of days in each month starting from October. The answer could also be 29 for a leap year.
The answer can't be 30, as the question specifically says that the answer is not 30, so it can't be the sequence starting with May.
Puzzle 16
How many squares are in the drawing below?
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
There are fewer than 20 squares.
Answer
18 squares.
In the solution below, you can see 6 squares in the middle, with another 12 squares around the outside.
