Solve this puzzle

Guddi (employee) (774 Points)

01 October 2010

There is a bus with 7 girls inside,

Each girl has 7 bags

Inside each bag, there are 7 Big cats,

Each Big cat has 7 small cats,

All cats have 4 Legs each!

Question: How many Legs are there inside the bus?

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6 Replies

NUKUL GARG (Senior Associate Consultant) (1231 Points)
Replied 01 October 2010

that's easy-

I'll send the answer in PM

check it out.

(Guest)

4*7*7*7

4*7*7

7*2

Sandya (Article) (217 Points)
Replied 02 October 2010

Nice one thanks

CMA KNVV Sri Vidya - Sri Kanth (C.A.Final (New) ICWAI FINAL (New)) (11269 Points)
Replied 02 October 2010

well here is the answer my dear friend Guddi,

Answer : 10990 legs altogether

1. Focus on the first girl first:

A B C D E F G

Girl A has 7 backpacks

2. Now focus on first backpack A1 :

A1 A2 A3 A4 A5 A6 A7

Backpack A1 has 7 big cats

3. Now focus on first big cat :

1 2 3 4 5 6 7

Each big cats have 7 small cats (that's the end of the focus)

Systematically, 7 small cats has 28 legs (7 * 4) combined with the big cat that owns this 7 small cats.

Let's call this the "cat chain", so cat chain 1 has 32 legs altogether.

So since there are 7 big cats

7 * 32 = 224 legs

Therefore each backpack has 224 legs

Finally, each girl has 7 * 224 = 1568 legs.

Lastly, since there are 7 girls, A to G, there are 7 * 1568 legs (per girl) = 10976 legs.

Now, since each girl also has 2 legs each;

SO, (7 * 2) + 10976 = 10990 legs altogether

Note: Disregarding bus driver, buses and etc…Only focus on the girl and their backpacks!

Regards,

Sri Vidya - Sri Kanth

CA Madhukiran Reddy (CHARTERED ACCOUNTANT) (12714 Points)
Replied 02 October 2010

Originally posted by : Sri Vidya - Sri Kanth
	well here is the answer my dear friend Guddi, Answer : 10990 legs altogether 1. Focus on the first girl first: A B C D E F G Girl A has 7 backpacks 2. Now focus on first backpack A1 : A1 A2 A3 A4 A5 A6 A7 Backpack A1 has 7 big cats 3. Now focus on first big cat : 1 2 3 4 5 6 7 Each big cats have 7 small cats (that's the end of the focus) Systematically, 7 small cats has 28 legs (7 * 4) combined with the big cat that owns this 7 small cats. Let's call this the "cat chain", so cat chain 1 has 32 legs altogether. So since there are 7 big cats 7 * 32 = 224 legs Therefore each backpack has 224 legs Finally, each girl has 7 * 224 = 1568 legs. Lastly, since there are 7 girls, A to G, there are 7 * 1568 legs (per girl) = 10976 legs. Now, since each girl also has 2 legs each; SO, (7 * 2) + 10976 = 10990 legs altogether Note: Disregarding bus driver, buses and etc…Only focus on the girl and their backpacks! Regards, Sri Vidya - Sri Kanth