Puzzle 601
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 602
Which three letters come next in this sequence:
pes · gua · luj · nuj · yam · rpa · ?
Puzzle Copyright © Kevin Stone
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Hint
Do the words make any sense when read another way?
Answer
Ram.
These are the first three letters of the months in reverse order.
Therefore, RAM are the first three letters of March.
Puzzle 603
Which is greater?
The number of seconds in a year.
Miles that light can travel in 3 minutes.
Puzzle Copyright © Kevin Stone
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Hint
Light travels around 186,000 miles each second.
Answer
Miles that light can travel in 3 minutes.
There are 31,536,000 seconds in a typical year, and light can travel about 33,530,831 miles in 3 minutes.
Puzzle 604
If a bottle weighs eight ounces plus half a bottle …
… what is the weight of a bottle and a half?
Puzzle Copyright © Kevin Stone
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Hint
Find the weight of the bottle first.
Answer
24 ounces.
The bottle weighs 16 ounces.
Reasoning
As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:
B = 8 + 1/2 x B
1/2 x B = 8
B = 16
As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.