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Sunday Times Teaser 3114 – Colourful Characters

by BRG on May 27, 2022

by Danny Roth

Published Sunday May 29 2022 (link)

George and Martha have recently taken a great-grandchild to a toddler’s birthday party. The youngsters like to traipse around over a pen with a large number of brightly coloured plastic balls. Actually there were 200 in total, some of red, yellow, blue and green. There were at least 30 but fewer than 70 of each colour, with the following properties:

Red – perfect square

Yellow – prime number

Blue – palindromic number

Green – divisible by three single-digit prime numbers

George told Martha the above information and the number of red balls. Martha was then able to work out the numbers of each of the others.

How many of each colour were there?

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4 Comments Leave one →
  1. Brian Gladman permalink

  2. GeoffR permalink

  3. John permalink

  4. John Z permalink

    Something old, something new, something borrowed, something blue!

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