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A farmer who grows strawberries defines a "workday yield" as the number of liters of strawberries that a worker is required to pick in one day. Based on this definition, how many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?

To answer this question we need to know the workday yield of a worker and also the total crop expected.

(1) A workday yield is 45 liters
Not Sufficient. Since no information on expected crop is given.

(2) The expected crop is 13,500 liters
Not Sufficient. Since no information on workday yield is given.

Statement 1 and 2 together
Sufficient.
Answer C
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OFFICIAL EXPLANATION

Let E be number of liters for the expected crop, W be the workday yield, and x be the number of workers. Then it is given that E = 15 Wx. Determine the value of the positive integer x.

(1) Given that W = 45, it is not possible to determine the value of x. For example, if E = 6,750, then 6,750 = (15)(45)x, and hence x = 10. On the other hand, if E = 67,500, then 67,500 = (15)(45)x, and hence x = 100; NOT sufficient.

(2) Given that E = 13,500, it is not possible to determine the value of x. For example, if W = 10, then 13,500 = (15)(10)x, and hence x = 90. On the other hand, if W = 20, then 13,500 = (15)(20)x, and hence x = 45; NOT sufficient.

Given (1) and (2) together, W = 45 and E = 13,500, so E = 15Wx becomes 13,500 = (15)(45)x, which can be solved for x.

The correct answer is C; both statements together are sufficient.
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Bunuel
A farmer who grows strawberries defines a “workday yield” as the number of liters of strawberries that a worker is required to pick in one day. Based on this definition, how many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?

(1) A workday yield is 45 liters.

(2) The expected crop is 13,500 liters.


ID 05762

Bunuel karishma chetan2u MartyMurray

I answered C for this question, which is the correct OA as well.
But, post answering I got a pretty weird query.

The answer we get here is 20 workers...
13500 / (45 x 15) = 20 workers per day.
20 workers for 15 days at a yield of 45 liters will give me 13,500 liters of crop.

The question doesn't specifically mention that the number of workers is constant for 15 days...
There can be a scenario that for 14 days farmer hired 1 worker per day only... but on the 15th day the farmer hired more than 20 workers like around 100 to kind of compensate for the lost yield... (just took a rough example :) )

Shouldn't the question mention - "number of workers such that all days have the same number of workers" or something on the similar lines ?
Since something like this isn't mentioned here... we see that the answer "20 workers" requires an assumption that the farmer will hire same number of workers everyday... (And in DS we shouldn't assume anything)

I know this is an OG question, and the OA must be right, please let me know if I am missing something here.
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rushimehta
I answered C for this question, which is the correct OA as well.
But, post answering I got a pretty weird query.

The answer we get here is 20 workers...
13500 / (45 x 15) = 20 workers per day.
20 workers for 15 days at a yield of 45 liters will give me 13,500 liters of crop.

The question doesn't specifically mention that the number of workers is constant for 15 days...
There can be a scenario that for 14 days farmer hired 1 worker per day only... but on the 15th day the farmer hired more than 20 workers like around 100 to kind of compensate for the lost yield... (just took a rough example :) )

Shouldn't the question mention - "number of workers such that all days have the same number of workers" or something on the similar lines ?
Since something like this isn't mentioned here... we see that the answer "20 workers" requires an assumption that the farmer will hire same number of workers everyday... (And in DS we shouldn't assume anything)

I know this is an OG question, and the OA must be right, please let me know if I am missing something here.
Not all official questions are perfectly constructed, and, in this case, it's true that the question could more clearly indicate that the workers will all be working for the entire 15 days.

At the same time, it doesn't really make sense to read the question in any other way, especially given how it's worded.

Notice how the question is worded:

how many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?

We can see that the wording of the question serves to suggest that all "the workers" hired will "pick the entire expected crop of strawberries in 15 calendar days."

So, I think we can safely presume that all of the workers will work on all of the 15 days.
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rushimehta
Bunuel
A farmer who grows strawberries defines a “workday yield” as the number of liters of strawberries that a worker is required to pick in one day. Based on this definition, how many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?

(1) A workday yield is 45 liters.

(2) The expected crop is 13,500 liters.


ID 05762

Bunuel karishma chetan2u MartyMurray

I answered C for this question, which is the correct OA as well.
But, post answering I got a pretty weird query.

The answer we get here is 20 workers...
13500 / (45 x 15) = 20 workers per day.
20 workers for 15 days at a yield of 45 liters will give me 13,500 liters of crop.

The question doesn't specifically mention that the number of workers is constant for 15 days...
There can be a scenario that for 14 days farmer hired 1 worker per day only... but on the 15th day the farmer hired more than 20 workers like around 100 to kind of compensate for the lost yield... (just took a rough example :) )

Shouldn't the question mention - "number of workers such that all days have the same number of workers" or something on the similar lines ?
Since something like this isn't mentioned here... we see that the answer "20 workers" requires an assumption that the farmer will hire same number of workers everyday... (And in DS we shouldn't assume anything)

I know this is an OG question, and the OA must be right, please let me know if I am missing something here.


The question does not ask how many workers per day are required and as you said he could employ different number every day although logically it should be same number every day.

When we know the total requirement is 13500/45 or 300 workdays or 300 workers in total.
I may just not look per day as that is not specified.

Whatever be the required answered, be it all different workers everyday, or same set of workers every day, the answer can be found when we know total 300 workers/workerdays are required. So the statements should be sufficient.
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Got it!

Thanks MartyMurray. chetan2u
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rushimehta
I answered C for this question, which is the correct OA as well.
But, post answering I got a pretty weird query.

The answer we get here is 20 workers...
13500 / (45 x 15) = 20 workers per day.
20 workers for 15 days at a yield of 45 liters will give me 13,500 liters of crop.

The question doesn't specifically mention that the number of workers is constant for 15 days...
There can be a scenario that for 14 days farmer hired 1 worker per day only... but on the 15th day the farmer hired more than 20 workers like around 100 to kind of compensate for the lost yield... (just took a rough example :) )

Shouldn't the question mention - "number of workers such that all days have the same number of workers" or something on the similar lines ?
Since something like this isn't mentioned here... we see that the answer "20 workers" requires an assumption that the farmer will hire same number of workers everyday... (And in DS we shouldn't assume anything)

I know this is an OG question, and the OA must be right, please let me know if I am missing something here.
Not all official questions are perfectly constructed, and, in this case, it's true that the question could more clearly indicate that the workers will all be working for the entire 15 days.

At the same time, it doesn't really make sense to read the question in any other way, especially given how it's worded.

Notice how the question is worded:

how many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?

We can see that the wording of the question serves to suggest that all "the workers" hired will "pick the entire expected crop of strawberries in 15 calendar days."

So, I think we can safely presume that all of the workers will work on all of the 15 days.
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