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The Sargon Corporation offers an optional stock-option buy i
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19 Nov 2020, 11:40

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Question Stats:

The Sargon Corporation offers an optional stock-option buy in program to its employees. Of the employees with salaries greater than or equal to $100K, 85% choose to participate in this plan. Of the employees with salaries less than $100K, 77% choose to participate in this plan. Which of the following could be the total number of employees? Answer choices below:

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

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Official Answer

B,D,F,H

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Re: The Sargon Corporation offers an optional stock-option buy i
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19 Nov 2020, 12:01

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GreenlightTestPrep wrote:

The Sargon Corporation offers an optional stock-option buy in program to its employees. Of the employees with salaries greater than or equal to $100K, 85% choose to participate in this plan. Of the employees with salaries less than $100K, 77% choose to participate in this plan. Which of the following could be the total number of employees? Answer choices below:

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

We can solve this using the Double Matrix method

Keep the word count down to a minimum, let's refer to the employees earning more than or equal to $100,000 a year as RICH employees, and refer to the other employees as POOR employees.

Let x = the total number of RICH employees

Let y = the total number of POOR employees

So, x+y = the TOTAL number of employees

This also means 0.85x = the number of RICH employees participating in the program

And 0.77y = the number of POOR employees participating in the program

We get the following:

Key concept: 0.85x and 0.77y must be POSITIVE INTEGERS

0.85x = (85/100)x = (17/20)x = 17x/20

If 17x/20 is a POSIIVE INTEGER, then x must be a multiple of 20

0.77y = (77/100)y = 77y/100

If 77y/100 is a POSIIVE INTEGER, then y must be a multiple of 100

Since x+y = the TOTAL number of employees, we're looking for answers choices such that the total number of employees can be expressed as (some positive multiple of 20) + (some positive multiple of 100)

A) 100 --> we can't rewrite 100 in the form (some positive multiple of 20) + (some positive multiple of 100)

B) 200 = (5)(20) + (1)(100) GREAT!

C) 350 --> we can't rewrite 350 in the form (some positive multiple of 20) + (some positive multiple of 100)

D) 460 = (3)(20) + (4)(100) GREAT!

E) 525 --> we can't rewrite 525 in the form (some positive multiple of 20) + (some positive multiple of 100)

F) 640 = (2)(20) + (6)(100) GREAT!

G) 750 --> we can't rewrite 750 in the form (some positive multiple of 20) + (some positive multiple of 100)

H) 880 = (4)(20) + (8)(100) GREAT!

Answer: B, D, F, H

Cheers,

Brent

Re: The Sargon Corporation offers an optional stock-option buy i
[#permalink]
19 Nov 2020, 12:15

Expert Reply

Wowwwwwwwwwwwwww

The Sargon Corporation offers an optional stock-option buy-in program
[#permalink]
08 May 2021, 08:51

The Sargon Corporation offers an optional stock-option buy-in program to its employees. Of the employees with salaries greater than or equal to $100,000, 85% choose to participate in this plan. Of the employees with salaries less than $100,000, 77% choose to participate in this plan. Which of the following could be the total number of employees?

Indicate all possible values for the number of employees.

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

Indicate all possible values for the number of employees.

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

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Re: The Sargon Corporation offers an optional stock-option buy-in program
[#permalink]
08 May 2021, 12:17

1

tapas3016 wrote:

The Sargon Corporation offers an optional stock-option buy-in program to its employees. Of the employees with salaries greater than or equal to $100,000, 85% choose to participate in this plan. Of the employees with salaries less than $100,000, 77% choose to participate in this plan. Which of the following could be the total number of employees?

Indicate all possible values for the number of employees.

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

Indicate all possible values for the number of employees.

A) 100

B) 200

C) 350

D) 460

E) 525

F) 640

G) 750

H) 880

https://gre.myprepclub.com/forum/the-sargo ... tml#p60302

Re: The Sargon Corporation offers an optional stock-option buy i
[#permalink]
08 May 2021, 12:41

Expert Reply

Merged a similar topic.

Always search BEFORE posting a new question. Probably it has already been discussed

Thank you

Always search BEFORE posting a new question. Probably it has already been discussed

Thank you

Re: The Sargon Corporation offers an optional stock-option buy i
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06 Jun 2024, 18:03

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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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Thanks to another GRE Prep 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.

gmatclubot

Re: The Sargon Corporation offers an optional stock-option buy i [#permalink]

06 Jun 2024, 18:03
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