Consonants are worth 2 and vowels (AEIOU) are worth − 1.
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Puzzle 6
Can you find a 5-digit number that has no zeros, and no repeated digits, where:
The first digit is a prime number. The second digit is the fifth digit minus the first digit. The third digit is twice the first digit. The fourth digit is the third digit plus three. The fifth digit is the difference (larger − smaller) between the first digit and the fourth digit.
Don't forget that 1 isn't prime, as the prime numbers start with 2, 3, 5, …
Hint
Start with the possible answers where the first digit is a prime number, and then look at the third digit.
Answer
23,475.
Reasoning
By (1), the first digit is prime:
2----
3----
5----
7----
By (3), the third digit is twice the first digit, so we can eliminate 5---- and 7----:
2-4--
3-6--
By (4), the fourth digit is the third digit plus three:
2-47-
3-69-
By (5) the fifth digit is the difference between the first digit and the fourth digit:
2-475
3-696
We know from the introduction that no digit is repeated, so we can eliminate 3-696. And, by (2) the second digit is the fifth digit minus the first digit:
23475
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Puzzle 7
Can you find common anagrams of each of the words below?
Each of the words has more than one anagram, but the initial letters of the correct anagrams form another anagram related to the word QUESTION.
Hint
Find anagrams of the words in this order: PLEASE, TRANCE, LISTEN, WARNED, VEINED, BRUISE.
Answers
ANSWER.
Reasoning
The initial letters are RWASEN, which is an anagram of ANSWER. bruise becomes rubieswarned becomes wander (or warden)please becomes asleeplisten becomes silentveined becomes envied (or endive)trance becomes nectar
The word DEBATE can also be made, but this requires an obscure anagram.
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Puzzle 8
Can you find the number that best completes this puzzle?
