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The total number of plums that grow during each year on a certain plum

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The total number of plums that grow during each year on a certain plum  [#permalink]

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New post 01 Nov 2019, 06:22
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Question Stats:

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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


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Re: The total number of plums that grow during each year on a certain plum  [#permalink]

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New post 01 Nov 2019, 06:52
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


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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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New post 02 Nov 2019, 03:06
total plums in 3rd year = 50
4th year = 50-3 ; 47
5th year = 47-4 ; 43
6th year = 43-5 ; 38
IMO C ; 38



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
GMAT Club Bot
Re: The total number of plums that grow during each year on a certain plum   [#permalink] 02 Nov 2019, 03:06
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