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siddreal
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Supervisor’s memo: At the present rate of manufacture we will not have the 1,200 circuit boards assembled in time to ship them to the customer. We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they’ve assembled 400. In order to finish the customer’s order in time, I’ll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.

One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor’s memo by dividing ___1___ circuit boards by the product of ___2___ worker-hours and the number of days since the workers began assembling the circuit boards.

Select "Circuit boards" for the option that fills the blank labeled 1 in the given statement, and select "Worker-hours" for the option that fills the blank labeled 2 in the given statement to create the most accurate statement on the basis of the information provided. Make only two selections, one in each column.

A) 80
B) 400
C) 500
D) 800
E) 1,000
F) 1,200

The OA is posted below. Kindly provide solutions first and then check for OA.
OA is:

400 Circuits Boards and 80 Worker Hours.
Wouldn't you also need the number of days worked until the memo?

Posted from my mobile device
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Supervisor’s memo: At the present rate of manufacture we will not have the 1,200 circuit boards assembled in time to ship them to the customer. We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they’ve assembled 400. In order to finish the customer’s order in time, I’ll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.

One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor’s memo by dividing ___1___ circuit boards by the product of ___2___ worker-hours and the number of days since the workers began assembling the circuit boards.

Select "Circuit boards" for the option that fills the blank labeled 1 in the given statement, and select "Worker-hours" for the option that fills the blank labeled 2 in the given statement to create the most accurate statement on the basis of the information provided. Make only two selections, one in each column.

A) 80
B) 400
C) 500
D) 800
E) 1,000
F) 1,200
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siddreal
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Supervisor’s memo: At the present rate of manufacture we will not have the 1,200 circuit boards assembled in time to ship them to the customer. We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they’ve assembled 400. In order to finish the customer’s order in time, I’ll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.

One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor’s memo by dividing ___1___ circuit boards by the product of ___2___ worker-hours and the number of days since the workers began assembling the circuit boards.
Select "Circuit boards" for the option that fills the blank labeled 1 in the given statement, and select "Worker-hours" for the option that fills the blank labeled 2 in the given statement to create the most accurate statement on the basis of the information provided. Make only two selections, one in each column.

A) 80
B) 400
C) 500
D) 800
E) 1,000
F) 1,200

The OA is posted below. Kindly provide solutions first and then check for OA.
OA is:

400 Circuits Boards and 80 Worker Hours.
Wouldn't you also need the number of days worked until the memo?

Posted from my mobile device

Hey! I was stumped on the same thing. I answered this wrong in my practice test and could not understand how the hourly rate is being calculated without the number of days!
Then.... I went back and re-read the question. And it says 'dividing the number of circuit boards by the PRODUCT of ---------worker-hours and NO OF DAYS...'
Its amazing how important attention to detail is in the GMAT! :-o
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siddreal
Supervisor’s memo: At the present rate of manufacture we will not have the 1,200 circuit boards assembled in time to ship them to the customer. We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they’ve assembled 400. In order to finish the customer’s order in time, I’ll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.

One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor’s memo by dividing ___1___ circuit boards by the product of ___2___ worker-hours and the number of days since the workers began assembling the circuit boards.

Select "Circuit boards" for the option that fills the blank labeled 1 in the given statement, and select "Worker-hours" for the option that fills the blank labeled 2 in the given statement to create the most accurate statement on the basis of the information provided. Make only two selections, one in each column.

A) 80
B) 400
C) 500
D) 800
E) 1,000
F) 1,200

The OA is posted below. Kindly provide solutions first and then check for OA.
Till now 400 circuit boards have been made. These boards have been made by 80 working hours each day. Hence, if you want to determine the rate of assembling then you have to divide 400 by the product of employee and employees working hour each day i.e; 80.
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The question is simple, even though I got it correct the 2nd time.


Before the Memo:

400 boards were manufactured.

10 workers --> 8 hrs/ day for 'n' days --> 400 boards ; (We don't know ho many days the workers took to manufacture 400 boards)
1 worker --> 80 hrs/ day for n days--> 400 boards
1 worker --> 80 hours * n days --> 400 boards

rate = Board/hour = (400 boards) / (80 hours * n days)

1. 400
2. 80
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Hi VeritasKarishma Bunuel - just wondering, how would you solve this IR question

It is testing quant specifically but just not sure where to begin
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­Start with our basic formula Work = Rate x Time.
  • To find the rate, rearrange the formula to Rate = Work/Time.
    • Work = boards
    • Time = days
    • Rate = boards/day

  • Since question specifies "hourly rate at which each worker assembled circuit boards", we have to divide this rate by the 10 workers to get rate per worker (i.e. rate/worker):
    • Rate / worker = (boards/day) / (10 workers)

  • Time spent is in t days (it doesn't tell us how many days it took so noting it as "t"). Since we want hourly rate, make sure to convert the t days to hours with the given 8 hrs/day.
    • Rate / worker = [ [(400 boards) / (t days)] * (1 day/ 8 hrs) ] / ( 10 workers )
      • "days" unit crosses out with the above conversion; so you then get: (400 boards) / (8t hrs * 10 workers)
        • Multiply the 8*10 in the denominator:
        • Final Answer: (400 boards / 80t worker-hrs)
­
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The simplicity of the question coupled with the estimated difficulty level can throw people off. This is an exercise in attention to detail and recognizing the phrase "Up to the date of the Supervisor's memo..."
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KarishmaB
targetbusiness
Supervisor’s memo: At the present rate of manufacture we will not have the 1,200 circuit boards assembled in time to ship them to the customer. We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they’ve assembled 400. In order to finish the customer’s order in time, I’ll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.

One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor’s memo by dividing ___1___ circuit boards by the product of ___2___ worker-hours and the number of days since the workers began assembling the circuit boards.

Select "Circuit boards" for the option that fills the blank labeled 1 in the given statement, and select "Worker-hours" for the option that fills the blank labeled 2 in the given statement to create the most accurate statement on the basis of the information provided. Make only two selections, one in each column.

Circuit boards----Worker-hours

A) 80-----------------------80
B) 400---------------------400
C) 500---------------------500
D) 800---------------------800
E) 1,000-------------------1000
F) 1,200-------------------1200

400 Circuits Boards and 80 Worker Hours.

Till Memo Data:
We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they’ve assembled 400.

So hourly rate of work done (how much work is done each hour) till now = Work/Time
Work done = 400 boards
Time taken in hrs = 10 * 8 * N (N is the number of days for which they worked) = 80N hrs
10 workers worked for 8 hrs every day so every day 80 worker hrs were being put in and this was done for N days giving us 80N total worker hrs put in.

Hourly rate of work done = 400/80N

To finish:
In order to finish the customer’s order in time, I’ll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.

One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor’s memo by dividing _______________ circuit boards by the product of ______________ worker-hours and the number of days since the workers began assembling the circuit boards.

How did we get hourly rate till memo date? Work done till memo date/Total worker hrs taken till memo date = 400/80N

So we divide 400 boards by product of 80 worker hrs and N, the number of days.

Hence the two blanks will have 400 and 80 respectively.


How do we know it is 80 hours? Are we assuming only one day of work here?
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I looked at the difficulty of this question being 65%, and I immediately thought that I was going to be wrong after solving for it. This question is much easier than it looks. Literally all you have to do is take the given number of workers how much they’re working per day and then divide it by how many they’ve already created right so it’s literally just 80 and 400.

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imo its a simple question. or is it? i got the correct answer, but please tell me if my approach was right or not:


\(Rate * Time\) = Work done by 1 worker
\( \\
Rate * (8 \frac{hrs}{day} * n days) = \frac{400}{10}\\
Rate = \frac{400}{10} * \frac{1}{8n} = \frac{400}{10 * 8n}\\
\)
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I agree. For some reason I am seeing people struggle with the easiest of the DI questions 🤷‍♂️
Dbrunik
I looked at the difficulty of this question being 65%, and I immediately thought that I was going to be wrong after solving for it. This question is much easier than it looks. Literally all you have to do is take the given number of workers how much they’re working per day and then divide it by how many they’ve already created right so it’s literally just 80 and 400.

Posted from my mobile device
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Exactly! Probably a speculation or bias in the form of "how can a question be so easy/straight, there must be some kind of hidden layer that i might be missing"
bb
I agree. For some reason I am seeing people struggle with the easiest of the DI questions 🤷‍♂️
Dbrunik
I looked at the difficulty of this question being 65%, and I immediately thought that I was going to be wrong after solving for it. This question is much easier than it looks. Literally all you have to do is take the given number of workers how much they’re working per day and then divide it by how many they’ve already created right so it’s literally just 80 and 400.

Posted from my mobile device
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I can tell you that it’s really weird when you get an easy question on the GMAT. I have previously spent more time on an easy question than a hard one just because I couldn’t figure out if I was just not seeing a trap or it was that easy. 😂

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I agree. For some reason I am seeing people struggle with the easiest of the DI questions 🤷‍♂️
Dbrunik
I looked at the difficulty of this question being 65%, and I immediately thought that I was going to be wrong after solving for it. This question is much easier than it looks. Literally all you have to do is take the given number of workers how much they’re working per day and then divide it by how many they’ve already created right so it’s literally just 80 and 400.

Posted from my mobile device

Fine by me since this is an official guide question. Which is great, the OG questions like this are not out to trick you or “catch you out” on tedious or maniacal things (unlike many of these junk prep provider questions). It’s about reasoning through complexity in an efficient manner.

Posted from my mobile device
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As per reasoning, we are asked to find the rate of work till SUPERVISOR'S MEMO i.e. the time before they would add worker and working hours for the workers. Thats why we are taking 400/80N .
we just need to pay attention to the wordings of the question. Question is super easy I guess ( if my reasoning correct then)

is my understanding right ?
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I understood the question and then found the answer to be too easy to be 655 level and then I spent few seconds checking if my understanding is correct or not. But it is indeed an easy question. GMAC playing with us psychologically :D
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