Can you find the country hidden in the following sentence:
If a Dalmatian dog can catch five balls in five minutes, four balls in four minutes, and three balls in three minutes, can a Dalmatian dog catch two balls in two minutes?
If a Dalmatian dog can catch five balls in five minutes, four balls in four minutes, and three balls in three minutes, CAN A DAlmatian dog catch two balls in two minutes?
Answer
If the sum of the digits is divisible by nine, so is the number.
Add up all of the digits in the number and see if the sum is divisible by 9. If you still can't tell, you can add those digits again to see if the new sum is divisible by 9. You can keep going until you the sum is obviously divisible by 9 or not.
For example, is 486451464 divisible by 9?
Do 4 + 8 + 6 + 4 + 5 + 1 + 4 + 6 + 4 = 42.
Is 42 divisible by 9? Not sure, you can then do:
4 + 2 = 6. Which clearly isn't divisible by 9. So our original number, 486451464, isn't either.
??
Puzzle 199
At a local village gala, the entire population turned up, 500 people.
The event raised £3,000.
Tickets were priced as follows:
£7.48 men
£7.12 women
£0.45 children
Hint
Try fixing the number of children to see what happens.
Answer
92.
With 149 men and 259 women. The best way is to fix the number of children and play around with the numbers of the men and women to see what happens as these are changed. It soon becomes apparent how changing the children changes the answer and 92 is soon found.
