You can imagine an arrow in flight, toward a target. For the arrow to reach the target, the arrow must first travel half of the overall distance from the starting point to the target. Next, the arrow must travel half of the remaining distance.
For example, if the starting distance was 10m, the arrow first travels 5m, then 2.5m.
If you extend this concept further, you can imagine the resulting distances getting smaller and smaller. Will the arrow ever reach the target?
Hint
Try to find out where Mrs Umbrella lives first.
Answer
From, left to right:
#1 Mrs Scott - glass
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw - wood
Reasoning
If we separate and label the clues, and label the bungalows #1, #2, #3, #4 from left to right we can see that: Mrs Scott's bungalow is somewhere to the left of the wooden one.The third one along is brick.Mrs Umbrella owns a straw bungalowMr Tidsley does not live at either end.Mr Tidsley lives somewhere to the right of the glass bungalow.Mr Wilshaw lives in the fourth bungalow.The first bungalow is not made from straw.
By (6) Mr Wilshaw lives in the fourth bungalow.
#1
#2
#3
#4 Mr Wilshaw
By (3), Mrs Umbrella owns the straw bungalow. By (7) it isn't #1, by (2) it isn't #3, so it must be #2.
#1
#2 Mrs Umbrella - straw
#3
#4 Mr Wilshaw
By (4), Mr Tidsley must therefore live in #3, which, by (2) is the brick bungalow.
#1
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw
By (1), Mrs Scott's bungalow must be #1, and #4 must be the wooden one.
#1 Mrs Scott
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw - wood
This leaves #1 as the glass bungalow.
#1 Mrs Scott - glass
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw - wood