September 2015 Logic & Maths Problems – Solutions

1. Yellow opposite orange, red opposite green, pink opposite blue

2. A. Emily B. Colin C. Fred D. Irene

3. The hole will become larger.

4. Treble 13, Double 18, single 16

5. 3

6. The water level of the pool will fall (The cannonball is much denser than the water. Let the cannonball have a volume of x litre. Assume the cannonball is ten times as dense as the water. Its mass will therefore be 10x kg. When the cannonball is placed in the boat, the boat settles by an amount which displaces 10 kg of water or 10x litres of water. However, when the cannonball is taken out of the boat and placed directly in the water, it only displaces its own VOLUME of water or x litres. This will have the same effect on the water level of the pool as taking 9x litres out.)

7. There are no “E”s

8. Treble 18, double 4, single 13

9. 2519 prisoners

10. The rule is: double the first number then take away 8. The answer is therefore 20

“Mixed Bag” Questions August 2015 – Answers

1. They all pop

2. 25th century

3. Laurence Olivier

4. Nelson Mandela

5. I, Claudius

6. The Jordonaires

7. Rome

8. Labour, Conservative, Liberal-Democrats

9. 1968

10. French, German, Italian, Romansch

HARDER:

11. Published a September 31 issue

12. W.C. Fields

13. Teflon

14. The Twelve Apostles

15. He shorted out Glasgow’s electricity supply

16. Movies

17. Uranus

18. He was a Pope and was dead. The succeeding pope had him exhumed in order to put him on trial.

19. All attempted to assassinate Queen Victoria

20. Her body was grossly swollen due to gout

August 2015 Logic & Maths Problems – Solutions

1. a = 44 , b = 19 , c = 10,

2. a. No b. Yes c. No d. Yes

3. a. fruit; b. bread; c. aisle 4

4. U, E, N

5. The pear is grown inside the bottle

6. Z – Set 1 contains letters composed entirely of straight lines

7. Option C. There is as much water in the milk/water mixture as milk in the water/milk mixture.

8. Looks like 88.

9. 9 metres [As one of two equal length diagonals of the rectangle, the dark blue line has length equal to the radius of the circle, which is (6 + 3) = 9 m]

10. 2.5 km [If Bill and Fred are 2km apart and approach each other at 10 km/hr each, their closing speed is 20 km / hr. They therefore meet in 0.1 hours (6 minutes). How far can Fido run in 0.1 hr at 25 km/hr? Answer: 2.5 km]