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### Simple Aptitude Question ( which i cannot solve)

Posted: **Wed 23 Jul, 2014 12:38 pm**

by **piglet**

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.

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

Posted: **Wed 23 Jul, 2014 4:41 pm**

by **david mcneill**

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

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

Posted: **Thu 24 Jul, 2014 10:55 am**

by **piglet**

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.

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

Posted: **Thu 24 Jul, 2014 11:31 am**

by **david mcneill**

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.

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

Posted: **Thu 24 Jul, 2014 2:56 pm**

by **PuzzleScot**

Solution:

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.

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

Posted: **Thu 24 Jul, 2014 3:15 pm**

by **Ekaterin**

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.

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

Posted: **Fri 25 Jul, 2014 8:34 pm**

by **PuzzleScot**

Well done Eva - Very true!

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

Posted: **Wed 14 Jan, 2015 5:27 am**

by **rameen**

Well doneĀ ,,,,

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

Posted: **Wed 14 Jan, 2015 6:26 am**

by **Avina**

There is a point of aberration in this logo-gram!

Because meaning puppy is the small dog.

Result : All of puppies are small.

Avina

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

Posted: **Wed 14 Jan, 2015 9:52 am**

by **PuzzleScot**

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.

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

Posted: **Wed 14 Jan, 2015 2:44 pm**

by **Avina**

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

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

Posted: **Thu 15 Jan, 2015 12:49 pm**

by **PuzzleScot**

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.