My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from England to particular countries and here is the result:
America 1,800 miles
New Zealand 2,400 miles
Japan 1,200 miles
Brazil 1,400 miles
How far away did it list Argentina as?
[Ref: ZEXF] © Kevin Stone
Hint: Vowels (AEIOU) and consonants are each worth a different number of miles..
Answer: 2,200 miles.
Vowels are worth 300 miles and consonants are worth 200 miles.
Can you find a five digit number which has no zeros nor ones in it and no digit is repeated, where:
The fourth digit is a quarter of the total of all of the digits.
The second digit is twice the first digit.
The third digit is the largest.
The last digit is the sum of the first two digits.
[Ref: ZPXQ] © Kevin Stone
Hint: The number contains no zeroes.
Remember the question stated that the number contained no zeros nor ones.
Alan's son Daniel, is exactly one fifth of Alan's age.
In 21 years time, Alan will be exactly twice Daniel's age.
Betty's is exactly seven times the age of her daughter, Jessica.
In 8 years time, Betty will be three times the age of Jessica.
How old are Daniel and Jessica now?
[Ref: ZQZZ] © Kevin Stone
Hint: A little bit of algebra might help.
Answer: Daniel is 7 years old and Jessica is 4 years old.
The first half of the question involves Daniel (D) and Alan (A).
Daniel is currently one fifth of Alan's age, so:
A = D x 5 (1)
In 21 years time, Alan will be twice his age, so:
A + 21 = (D + 21) x 2 (2)
Using (1) in (2) gives:
A + 21 = (D + 21) x 2
5D + 21 = (D + 21) x 2
5D + 21 = 2D + 42
3D = 21
D = 7
So Daniel is 7 (and Alan is 35).
The second half of the question involves Jessica (J) and Betty (B).
Betty's is exactly seven times the age of Jessica:
B = J x 7 (3)
In 8 years time, Betty will be three times the age of Jessica, so:
B + 8 = (J + 8) x 3 (4)
Using (3) in (4) gives:
B + 8 = (J + 8) x 3
7J + 8 = (J + 8) x 3
7J + 8 = 3J + 24
4J = 16
J = 4
So Jessica is 4 (and Betty is 28).
Complete this grid with the digits 1 to 6 to make the sum correct.
Perform each mathematical operation in the order shown, from left to right, e.g. 1 + 2 x 3 is treated as (1 + 2) x 3 = 9.
Note: there is no ÷ 1, and at no point is a decimal or fraction used.
[Ref: ZXLN] © Kevin Stone
Hint: The first number is 2.