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In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.
_________________

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

Max piranhas satisfied :-

for a fish to be satisfied it need to eat 3. So a max of 27 fish can be eaten. So a maximum of 9 fishes can be satisfied.

Min piranhas satisfied :-

A fish needs 3 fish to be satisfied. 1 or 2 is still unstatisfied.

let 15 fish eat the other 15.

So we get 15 fish with 1 fish eaten

Let 7 eat 7.

So we get 1 with 1 and 7 with 2 eaten. Total 8.

Let the one fish with 1 eaten eat one more.

So we get 7 fish with 2 eaten each.

Now let 3 can eat 1 each.

So we get 4 with 3 satisfied.

The last one can eat 1. Which gives us 4 satisfied.

Difficulty :- moderate . Any prob is simpler with options. (except SC !!)

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

Max piranhas satisfied :-

for a fish to be satisfied it need to eat 3. So a max of 27 fish can be eaten. So a maximum of 9 fishes can be satisfied.

Min piranhas satisfied :-

A fish needs 3 fish to be satisfied. 1 or 2 is still unstatisfied.

let 15 fish eat the other 15.

So we get 15 fish with 1 fish eaten

Let 7 eat 7.

So we get 1 with 1 and 7 with 2 eaten. Total 8.

Let the one fish with 1 eaten eat one more.

So we get 7 fish with 2 eaten each.

Now let 3 can eat 1 each.

So we get 4 with 3 satisfied.

The last one can eat 1. Which gives us 4 satisfied.

Difficulty :- moderate . Any prob is simpler with options. (except SC !!)

The max satisfied nine is agreed to. The min as per me should be zero because first can be eaten by the second and second by third and third by fourth and so on... And we'll be left with one very fat yet unsatisfied piranah.. Lemme know if it is correct though..

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

In terms of quality it's pretty good, but two comments: 1) You need to define what the minimum number of satisfied piranhas means, because otherwise the answer is 0. 2) If you wish to simulate gmat conditions provide options (although that makes it easier, esp with min, max problems)

For Min: Assuming the answer is not 0, I took the approach of 1 piranha eats the next 3. So the min would be 30/4 = 7 and 2 uneaten piranha. ANS = 7

For Max: I took the approach that P4 ate P1-3 P7 ate P6-P4 P10 ate P9-P7 Following this pattern I arrive at 9. Although I suspect this might be incorrect

The max satisfied nine is agreed to. The min as per me should be zero because first can be eaten by the second and second by third and third by fourth and so on... And we'll be left with one very fat yet unsatisfied piranah.. Lemme know if it is correct though..

totally missed that one. Great thinkin!
_________________

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

In terms of quality it's pretty good, but two comments: 1) You need to define what the minimum number of satisfied piranhas means, because otherwise the answer is 0. 2) If you wish to simulate gmat conditions provide options (although that makes it easier, esp with min, max problems)

For Min: Assuming the answer is not 0, I took the approach of 1 piranha eats the next 3. So the min would be 30/4 = 7 and 2 uneaten piranha. ANS = 7

For Max: I took the approach that P4 ate P1-3 P7 ate P6-P4 P10 ate P9-P7 Following this pattern I arrive at 9. Although I suspect this might be incorrect

Thank you for your response. I'll try to take into account points you brought up. As for min: I thought it was obvious, when asking about min number of satisfied fishes, that min can take 0 as well.

Answer: MIN=0 (one fish eats second, second eats third and so on, no satisfied fish at the end) MAX=9 (7 fishes eat 3 -->7*3+7=28, 2 left eat 6(3+3) from this seven --> 2+7=9)
_________________

Same here. In question like this one, min. is always 0.

Max = 9 => 4+3+3+3+3+3+3+3+3

Bunuel wrote:

yangsta8 wrote:

Bunuel wrote:

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

In terms of quality it's pretty good, but two comments: 1) You need to define what the minimum number of satisfied piranhas means, because otherwise the answer is 0. 2) If you wish to simulate gmat conditions provide options (although that makes it easier, esp with min, max problems)

For Min: Assuming the answer is not 0, I took the approach of 1 piranha eats the next 3. So the min would be 30/4 = 7 and 2 uneaten piranha. ANS = 7

For Max: I took the approach that P4 ate P1-3 P7 ate P6-P4 P10 ate P9-P7 Following this pattern I arrive at 9. Although I suspect this might be incorrect

Thank you for your response. I'll try to take into account points you brought up. As for min: I thought it was obvious, when asking about min number of satisfied fishes, that min can take 0 as well.

Answer: MIN=0 (one fish eats second, second eats third and so on, no satisfied fish at the end) MAX=9 (7 fishes eat 3 -->7*3+7=28, 2 left eat 6(3+3) from this seven --> 2+7=9)

hurray! i solved it and got the right answer! I hope my logic is ok I will write it down in a lengthy way to explain what I mean-

among 5 fishes 1 can eat among 8 fishes 2 can eat among 11 fishes 3 can eat among 14 fishes 4 can eat among 17 fishes 5 can eat among 20 fishes 6 can eat among 23 fishes 7 can eat among 26 fishes 8 can eat among 29 fishes 9 can eat

so, max 9 piranhas will be happy
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

I am still on all gmat forums. msg me if you want to ask me smth

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

In terms of quality it's pretty good, but two comments: 1) You need to define what the minimum number of satisfied piranhas means, because otherwise the answer is 0. 2) If you wish to simulate gmat conditions provide options (although that makes it easier, esp with min, max problems)

For Min: Assuming the answer is not 0, I took the approach of 1 piranha eats the next 3. So the min would be 30/4 = 7 and 2 uneaten piranha. ANS = 7

For Max: I took the approach that P4 ate P1-3 P7 ate P6-P4 P10 ate P9-P7 Following this pattern I arrive at 9. Although I suspect this might be incorrect

Thank you for your response. I'll try to take into account points you brought up. As for min: I thought it was obvious, when asking about min number of satisfied fishes, that min can take 0 as well.

Answer: MIN=0 (one fish eats second, second eats third and so on, no satisfied fish at the end) MAX=9 (7 fishes eat 3 -->7*3+7=28, 2 left eat 6(3+3) from this seven --> 2+7=9)

I fell for the trap and got min as 7, but i agree totally that there could be 0 satisfied fish, while max was 9.

Here as we see, satisfied phiranas are 22, 23, 24, 25, 26, 27, 28, 29 and 30 = 9

Bunuel wrote:

In certain pool there are 30 piranhas, which eat each other. Once a piranha eaten 3 others it's satisfied and stops eating, what are the maximum and minimum numbers of satisfied piranhas possible?

NOTE: When piranha A eats a piranha B which ate a number of piranhas previously, it's counted that A piranha still ate only one. NOTE: Dead satisfied piranha still counts as satisfied.

This is my Q, so please comment about the quality and difficulty level.

gmatclubot

Re: In certain pool there are 30 piranhas, which eat each other.
[#permalink]
18 Jun 2014, 04:54

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