VeritasPrepKarishma wrote:
aeglorre wrote:
Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 6250 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year period.
A. 1250
B. 1563
C. 2250
D. 2560
E. 2752
Isn't the question quite ambiguous, though? I mean the first scentence could be interpreted as "for the first year we have (4/4)x and for the second year (5/4)x and for the third..." etc.. With that reasoning one would have (5/4)^3 * x + x and then your approach doesnt work.
Obviously, I understand that this was a flaw in my reasoning but I cannot understand how they - with that wording - will assume that we totally understand that at the end of year one he has (5/4)x..
Is there a straightforward "word translation" way in knowing how to interpret wordings like this?
Actually, it is not ambiguous. Read the statement:
Each year a farmer increased the number of trees by 1/4. He did this for 4 years. (In GMAT Verbal and Quant are integrated. You need Verbal skills (slash and burn) in Quant and Quant skills (Data Interpretation) in Verbal.
So in the first year, he increased it by 1/4The next year, he again increased it by 1/4 (of preceding year)
Next year, again the same.
Next year, again the same.
So he did it for a total of 4 years.
So if initially the number of trees was x, in the first year he made them (5/4)x
Correct me if I am wrong, but it seems to me that there is a flaw in this GMAT problem. If you read the statement:
"by 1/4 of the number of trees in the orchard of
the preceding year"
So you cannot increase the number of trees the first year as you do not know the number of tree of the year preceding that first year.
And the only way to increase the number of trees of the preceding year is to be in the second year, and then you know what is the number of trees of the preceding year.
So either you are assuming that the number of trees before that first year is = n, but this is not provided by the statement, or you are taking into account the fourth increase that happened actually at
the beginning of the fifth year, and this is wrong as the number 6250 is the number of trees at the end of the 4-year period.
(And you cannot be between the first and the second year, either you are in the first year or in the second year)
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