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Re: The total number of plums that grow during each year on a certain plum [#permalink]
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Bunuel wrote:
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 3rd year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?

A. 43
B. 41
C. 38
D. 35
E. 32


Are You Up For the Challenge: 700 Level Questions


Let the number of plums during 1st year = n,
during 2nd year = n - 1
during 3rd year = n - 1) - 2 = n - (1 + 2)
during 4th year = (n - (1 + 2)) - 3 = n - (1 + 2 + 3) and so on ...
--> during xth year = n - (1 + 2 + 3 + . . . . . . + (x-1))

Given, n - (1 + 2) = 50
--> n = 53

During 6th year = n - (1 + 2 + 3 + 4 + 5) = n - 15 = 53 - 15 = 38

IMO Option C
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Re: The total number of plums that grow during each year on a certain plum [#permalink]
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The number of plums that the tree bore during the third year is given to be 50
So during the fourth year the number of plums will be
50- 3 (because during the fourth year, the completed number of years in whole will be 3 ignoring the fractional part)= 47
During the 5th year it would be
47-4=43
During the 6th year it would be
43-5=38
Hence C

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Re: The total number of plums that grow during each year on a certain plum [#permalink]
Bunuel wrote:
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 3rd year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?

A. 43
B. 41
C. 38
D. 35
E. 32


Are You Up For the Challenge: 700 Level Questions



Let the Plums grown in 1st year = x
Plums grown in 2nd year = x - (1)
Plums grown in 3rd year = x - (1+2) = 50 ; x = 53
Plums grown in 4th year = x - (1+2+3) = 47
Plums grown in 5th year = x - (1+2+3+4) = 43
Plums grown in 6th year = x - (1+2+3+4+5) = 38

IMO C
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Re: The total number of plums that grow during each year on a certain plum [#permalink]
hmm why are we supposed to assume that that year 1 is really year 0, and that we don't start counting the age until the 2nd year?
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Re: The total number of plums that grow during each year on a certain plum [#permalink]
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Re: The total number of plums that grow during each year on a certain plum [#permalink]
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