June 2015 Logic & Maths Problems – Solutions

1. 10%

Remember, we are looking for the smallest possible number of blonde, blue-eyed females given the available data.
60% of the population is female. 40% are therefore male.
It’s POSSIBLE that all the males are blonde.
In that case, 40% of the population would be blonde females, and 20% would be females who are not blonde.
70% of the population has blue eyes. It’s POSSIBLE that all the males have blue eyes (40% of the population), and that all non-blonde females have blue eyes (another 20 % of the population)
That leaves only 10% of the population who MUST be female, blonde and blue-eyed.

2. a. YES b. YES c. NO d. NO

3. 29179

4. 33

5. 32

6. 96, 97, 98, 99, 100

7. 24, 25, 26, 27, 28

8. Seven

9. 96

10. B

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