Puzzle 109
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 110
Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: S O N A T A
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Alan Stillson and Frank Longo
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Hint
Row 3's missing letter is T.
Answer
N
A
R
E
B
S
O
W
K
R
E
T
A
P
Z
S
Across: NEAR, BOWS, TREK, ZAPS
Down : BANK, SPAR, ZERO, STEW
Boxes : BANS, WORE, PARK, ZEST
Other anagrams of these words are OK as long as they don't change the answer grid.
Puzzle 111
If you turn a right handed glove inside out …
… which hand will it now fit?
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Hint
Perhaps think about the thumb?
Answer
It will now fit the left hand.
Puzzle 112
I have a jar of sweets that contains 114 red, 35 blue, 67 green, and 9 yellow.
What chance do I have of picking a yellow sweet with my eyes shut?
Puzzle Copyright © Kevin Stone
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Hint
How many yellow sweets are there, how many sweets in total?
Answer
1 in 25 = 4 percent.
Reasoning
In total, there are 114 + 35 + 67 + 9 = 225 sweets.
There are 9 yellow sweets, so the probability is 9 ÷ 225 = 0.04 = 4% = 1 in 25.
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