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# A LOGICAL PUZZLE

Tue 11 Dec, 2012 01:32 am
OK, here we go.
The question is "How Many Lions Were There?"
The numbers run from 2, 3, 4, 5,6
And the locations are:
Bushes, grassland, trees, boulders, waterhole
Here is the information and I'd love to know how you worked it out:
1. The band of chimpanzees was bigger than the pride of lions but smaller than the group of giraffes.
2. The photo with two animals was set near a clump of bushes.
3. The zebras were grazing in open grassland.
4. Neither the chimps nor antelopes were photogaphed near trees of boulders.
5. The group of giraffes was not the largest set of animals.
6. There were more than four animals in the group snapped close to a grove of trees.

This question is in the Take Five Pocket Puzzler no. 100 selling in stores now.
And it's driving me nuts. Would love to know how you worked it out if you can. Go on, make me feel like a dummy (which I'm not). LOL WendyLou
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boomerang

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Tue 11 Dec, 2012 07:06 am
@WendyLou,
There were 3 lions.

Because of formatting it is hard to show how I came up with the answer.

I made a grid showing location and put in the known information:

bushes - 2, ?
grass - ? zebra
trees - +4, (not chimps/antelopes)
boulder - (not chimps/antelopes)
waterhole - ?, ?

Then I wrote this sequence based on the clues:

(antelope/zebra) < lion < chimp < giraffe < (antelope/zebra)

Then we know that the group of two in the bushes can only be antelopes.

Then we know that the group in the trees can only be giraffes.

That leaves the lions at the boulder and the chimps at the waterhole.

Then I just plugged in the numbers according to the sequence.

This is what the finished grid said:

bushes, 2, antelope
grassland, 6, zebra
trees, 5, giraffe
boulder, 3, lions
water, 4, chimp

Let me know if I'm right!
WendyLou

1
Tue 11 Dec, 2012 07:28 am
@boomerang,
You were exactly correct. According to a friend of mine who was doing the puzzle, he came up with your answer tonight. Thanks for showing how you worked it out. Greatly appreciated.

WendyLou
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