## June 2016 Logic & Maths Puzzles

1. In this weird multiple choice quiz, the answer to each question is either A, B, C or D.
The clues for ascertaining the correct answers are contained within the questions!

Use your logical skills to find the correct answer to each question (A, B, C or D).

2. I have some pencils and some jars.

If I put thirteen pencils into each jar I will have two jars left over.

If I put nine pencils into each jar I will have ten pencils left over.

How many pencils and how many jars?

3.
What is the total number of triangles in this figure?

4. The diagram shows a square and a circle.

The circle has the same diameter as the side of the square.
One circle does not quite cover the square. You can still see some of it.

You would obviously need two or more overlapping circles to cover the square. What is the minimum number of overlapping
circles required to COMPLETELY cover the square?

5.
What is the total number of triangles in this figure?

6. You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don’t know which is which.
There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.
You can, however, ask one robot one question. The problem is one robot always tells the truth, the other always lies and you don’t know which is which.
a. What question should you ask?
b. What should you do then?

7. I have a 5 scoop ice cream cone. Each of my 5 scoops is a different flavour of ice cream. The five flavours are blueberry, chocolate, strawberry, vanilla and bubble gum. You don’t know what order my ice cream flavours are from top to bottom. However, here are some clues to see if you can work out, then write down out what the flavours are from top to bottom:

a. The bottom flavour has 10 letters.
b. The vanilla scoop touches both the chocolate and blueberry scoop.
c. Vanilla is below the chocolate scoop but above the bubblegum scoop.

8.
12 black mice and 1 white mouse are in a ring. If the white mouse is in position 1, where should a cat start so that if he eats every 13th mouse the white mouse will be last?

9. A street in a new housing estate has a house built on each block. The houses are numbered in the usual way. Each house has its street number prominently displayed on its letter box using one brass number for each digit. If 252 brass numbers were required to do this, how many houses are in the street?

10. In a family with 4 siblings, John is older than Mary, Peter is younger than John, Mary is older than Peter, and Sarah is older than John.
a. Who is the second oldest in the family?
b. Who is the youngest?

SOLUTIONS