Simple Aptitude Question ( which i cannot solve)

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piglet
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Simple Aptitude Question ( which i cannot solve)

Post by piglet » Wed 23 Jul, 2014 12:38 pm

Can someone please suggest a solution format for this question
A pet store has
24 puppies
6 are small
12 are brown
15 have long hair
there is one small brown puppy with long hair
there are two small brown puppies NOT with long hair
there are two small puppies with long hair but are not brown

how many puppies are brown, have long hair but are not small

ANS 3.

david mcneill
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Re: Simple Aptitude Question ( which i cannot solve)

Post by david mcneill » Wed 23 Jul, 2014 4:41 pm

Draw a Venn diagram and you will see that the solution is not unique.

piglet
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Re: Simple Aptitude Question ( which i cannot solve)

Post by piglet » Thu 24 Jul, 2014 10:55 am

thanks for the reply David. I have tried a Venn Diagram (obviously) without success; hence ths post. It's been a while since I've worked such magic but given the lead i'll give it another shot.

david mcneill
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Re: Simple Aptitude Question ( which i cannot solve)

Post by david mcneill » Thu 24 Jul, 2014 11:31 am

Apologies. I re-read the question and the solution is unique. A Venn diagram will help a lot. You can use a little bit of algebra to get you over the line.

PuzzleScot
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Re: Simple Aptitude Question ( which i cannot solve)

Post by PuzzleScot » Thu 24 Jul, 2014 2:56 pm

Solution:
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
Draw simple 3 circle venn diagram, labelled Sm/Br/Lo.
This has 7 areas:
A = Sm
B = Sm & Br
C = Br
D = Sm & Lo
E = Sm & Br & Lo
F = Br & Lo
G = Lo

Translating the rules, in the order given
a) A+B+C+D+E+F+G = 24
b) A+B+D+E = 6
c) B+C+E+F = 12
d) D+E+F+G = 15
e) E = 1
f) B = 2
g) D = 2

From (b), we can see A=1.
From (c), we have C+F = 9
From (d), we have F+G = 12
From (a), we now have C+F+G = 18
(C+F)+(F+G) = 21, therefore, F=3.
From (c), C=6 and from (d) G=9.

"how many puppies are brown, have long hair but are not small?". That's F in our workings, which is 3.
Hope that helps.

Ekaterin
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Re: Simple Aptitude Question ( which i cannot solve)

Post by Ekaterin » Thu 24 Jul, 2014 3:15 pm

The solution is only unique if you assume that there are no puppies which are not small, are not brown and do not have long hair.

PuzzleScot
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Re: Simple Aptitude Question ( which i cannot solve)

Post by PuzzleScot » Fri 25 Jul, 2014 8:34 pm

Well done Eva - Very true!

rameen
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Re: Simple Aptitude Question ( which i cannot solve)

Post by rameen » Wed 14 Jan, 2015 5:27 am

Well done ,,,, :D
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Avina
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Re: Simple Aptitude Question ( which i cannot solve)

Post by Avina » Wed 14 Jan, 2015 6:26 am

There is a point of aberration in this logo-gram!
Because meaning puppy is the small dog.
Result : All of puppies are small.
Avina

PuzzleScot
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Re: Simple Aptitude Question ( which i cannot solve)

Post by PuzzleScot » Wed 14 Jan, 2015 9:52 am

Avina wrote: Because meaning puppy is the small dog.
Result : All of puppies are small.
All mice a are small, but there are big mice and small mice. The same goes for puppies.

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Avina
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Re: Simple Aptitude Question ( which i cannot solve)

Post by Avina » Wed 14 Jan, 2015 2:44 pm

I quickly looked. I have seen like this ago, but there were the points of diversion.
I solved and it's answer "3" , and so I think it's answer must be check by the law of probability.
Avina

PuzzleScot
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Re: Simple Aptitude Question ( which i cannot solve)

Post by PuzzleScot » Thu 15 Jan, 2015 12:49 pm

Avina wrote:I think it's answer must be check by the law of probability.
No. Check the spoilered text in the 5th post. There is no "probability"!
The only caveat is Ekaterin's comment:
"The solution is only unique if you assume that there are no puppies which are not small, are not brown and do not have long hair."
This problem is solved, and closed.

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