BrainBashers - Random Puzzles

Puzzle 109

Questionnaire – Logic Puzzles

Here is the latest BrainBashers questionnaire, how well can you do?
Q1. The first question with A as the correct answer is:

    A. Q2
    B. Q3
    C. Q4

Q2. The answer that appears most often is:

    A. C
    B. B
    C. A

Q3. The answer to Q1 is:

    A. B
    B. A
    C. C

Q4. The answer that appears least often is:

    A. A
    B. C
    C. B

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Puzzle 110

Triathlon - Round 2 – Logic Puzzles

The final of the BrainBashers triathlon was a close run thing.

The whole tournament was decided on the last two sections, cycling and the road race.

Alex didn't win either section.
The person who won the cycling came third in the road race.
Alex beat Charlie in cycling, but was beaten by Charlie in the road race.
Charlie was last in neither section.
Drew won the road race, but was beaten by Billie in the cycling.
Can you work out who came where in each section?

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Puzzle 111

A woman had three old coins: a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.

What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?

For this puzzle it can be assumed that ¹/₂ a coin is worth ¹/₂ of its value.

Based on a puzzle by Henry Ernest Dudeney.

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Puzzle 112

Our local scrap merchant had to travel to the county recycling plant, 60 miles away.

On the way there, the wagon was fully laden, so could only manage a steady 12mph.

On the way back, the wagon was much lighter and could manage a steady 16mph.

The wagon started with 24 gallons of fuel in the tank ready for the round trip, which was easily enough fuel as the wagon managed to travel 8 miles for each gallon.

Unfortunately, a piece of metal had pierced the fuel pipe at the very start of the trip, and the wagon began to lose 1 gallon of fuel every hour.

Luckily, it only lost fuel when moving and lost no fuel while unloading the scrap metal.

Were the 24 gallons enough for the entire round trip?

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