September 2013 Logic & Maths Puzzles
1. In a certain fruit shop on a certain day, Shopper A purchased 3 apples, 6 bananas and a cantaloupe, while Shopper B purchased 4 apples, 3 bananas and 2 cantaloupes. Shoppers A and B both paid $5.10 each.
Shopper C bought an apple, while Shopper D bought a banana. Shopper D paid 20 cents more than Shopper C.
What was the price for each apple, each banana and each canteloupe?
2. This is a physics question.
Imagine a stationary red rubber ball in space. A green rubber ball of the same size and mass travelling at high speed from left to right collides with it “dead centre”.
Assuming there is no energy loss, which of the following best describes
the expected result? Write “A”, “B” or “C” on your answer sheet.
A. The green ball will stop dead. The red ball will fly off to the right at high speed.
B. The red ball will fly off to the right. The green ball will follow, but more slowly.
C. The red ball will fly off to the right at half the green ball’s original speed; the green ball will rebound to the left at half its original speed.
The above picture represents two cubes, each seen from three different angles. For each cube, state how many black rubber bands have been stretched around it.
The answer in each case may be one or more.
4. Find three different whole numbers a, b and c for which
a + b + c = a X b X c
6. What is the smallest whole number that is equal to seven times the sum of its digits?
7. What is the smallest whole number that is equal to twice the sum of its digits?
8. If I had 1½ apples more, I’d have 1½ times as many apples as I have now.
How many apples do I have now?