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Lake A has a duck population of 30 females and 36 males. [#permalink]

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25 May 2013, 15:27

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Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

A. 144 B. 105 C. 78 D. 51 E. 36

The ratio of females to males in Lake B is 30:36 = 5:6 --> the total number of ducks in Lake B must be a multiple of (5+6)=11.

When 6 new female ducks are added to Lake B, the total number of ducks in Lake B becomes a multiple of 11 plus 6.

Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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31 May 2013, 13:40

I wrote a table down as following and checked which values could be plugged in

F. M. F+m+6 15 18 38 30 36 71 45 54 105 <--- stopped here 60 72
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Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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17 Aug 2013, 20:20

manavkhurana wrote:

Why not a multiple of 17? 5 F to 6 M. If you add 6 F then 11 F to 6 M for a total of 17 ducks. So Lake B must have a multiple of 17 ducks?

How can it be a multiple of 11 if you add only female ducks? Once you add 6 female ducks, the ratio of F and M ducks changes!

Hi,

The female to male population is in the ratio 5:6. So the total duck population is 11x . It could be 11, 22 ,33 and so on. Now 6 female ducks are added to this population . In other words you are adding 6 to a multiple of 11. So the new duck population should be multiple of 11 + 6.

So the only choice that satisfies this requirement is 105 which is 99+6.

It is not a multiple of 17 because we do not have 11 female ducks for every 6 male ducks.
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Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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17 Aug 2013, 20:37

Got it, thanks a lot!

Basically, as you stated, we are just adding 6 ducks to the original amount of ducks in lake B. If it was a multiple of 17, there would be a lot more than 6 ducks added. We do not have 11 F per 5 M, we just have 6 more ducks overall.

Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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18 Aug 2013, 19:36

Bunuel wrote:

yogirb8801 wrote:

Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

A. 144 B. 105 C. 78 D. 51 E. 36

The ratio of females to males in Lake B is 30:36 = 5:6 --> the total number of ducks in Lake B must be a multiple of (5+6)=11.

When 6 new female ducks are added to Lake B, the total number of ducks in Lake B becomes a multiple of 11 plus 6.

Only 105 is a multiple of 11 plus 6: 9*11+6=105.

Answer: B.

Hope it's clear.

Hi,

I am not able to understand the question properly.

Q says the Lake population is 30 females and 36 males. and for Lake B population the Ratio of male to female is is same. i.e. 3:3.

its nowhere mentioned as Lake B population is of same ratio as Lake A.

Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

A. 144 B. 105 C. 78 D. 51 E. 36

The ratio of females to males in Lake B is 30:36 = 5:6 --> the total number of ducks in Lake B must be a multiple of (5+6)=11.

When 6 new female ducks are added to Lake B, the total number of ducks in Lake B becomes a multiple of 11 plus 6.

Only 105 is a multiple of 11 plus 6: 9*11+6=105.

Answer: B.

Hope it's clear.

Hi,

I am not able to understand the question properly.

Q says the Lake population is 30 females and 36 males. and for Lake B population the Ratio of male to female is is same. i.e. 3:3.

its nowhere mentioned as Lake B population is of same ratio as Lake A.

please clarify mine plz.

Regards, Rrsnathan.

Please read the questions carefully:

Lake A has a duck population of 30 females and 36 males --> the ratio is F:M = 30:36 = 5:6. Lake B’s duck population consists of the same ratio of females to males --> F:M = 5:6.
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Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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26 Sep 2014, 14:19

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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29 Sep 2014, 00:56

yogirb8801 wrote:

Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

A. 144 B. 105 C. 78 D. 51 E. 36

As mentioned in earlier posts, we have to find answer by subtracting 6 from all 5 options & check if the resultant is divisible by 11?

What I did is, instead of subtracting 6, added 5 to all the 5 options

(Addition goes more easy with me; only result remains the same)

Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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14 Apr 2016, 02:14

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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14 Apr 2016, 12:13

The best way I can go is drawing a table as below -

Attachment:

Capture.PNG [ 3.91 KiB | Viewed 970 times ]

Further we are given -

Quote:

If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

So prior to adding female ducks the total number of ducks must be multiple of 11

check the options except (B) none of the option is divisible by 11.

105 - 6 = 99 ( Which is divisible by 11 )

Hence the correct answer is (B)

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Re: Lake A has a duck population of 30 females and 36 males. [#permalink]

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21 May 2017, 20:11

yogirb8801 wrote:

Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?

A. 144 B. 105 C. 78 D. 51 E. 36

It's a problem that tests organization and the hidden multiplier.

Lake A is irrelevant, except that it provides the ratio of females:males (30/36 = 5/6).

With that ratio, we can determine that the ratio in lake B is also 5x/6x. The "x" variable here is the hidden multiplier, so it's important to insert it because we want to find the total of the population. The hidden multiplier is the path.

The total population is 11x because it's the sum of the two components: male and female ducks (5x+11x). So we can arrive at the following formula 11x+6 = total duck population.

We must now backsolve using the answer choices. (B) is the only one that provides a multiple of 11 (=99).

gmatclubot

Re: Lake A has a duck population of 30 females and 36 males.
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21 May 2017, 20:11

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