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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
68% (02:07) correct
32%
(01:58)
wrong
based on 279
sessions
History
Date
Time
Result
Not Attempted Yet
Seventy percent of the 30,000 trees in an orchard are apple trees, and the rest are pear trees. What percent of the trees in the orchard were planted this year?
(1) The number of apple trees that were planted prior to this year is 14 times the number of pear trees that were planted this year.
(2) The number of pear trees planted prior to this year is 8 times the number of pear trees that were planted this year.
(1) The number of apple trees that were planted prior to this year is 14 times the number of pear trees that were planted this year.
(2) The number of pear trees planted prior to this year is 8 times the number of pear trees that were planted this year.
28 Aug 2024, 02:26
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Let Apple trees planted this year = \(At\)
Let Apple trees planted before = \(Ab\)
Let Pear trees planted this year = \(Pt\)
Let Pear trees planted before = \(Pb\)
\(At + Ab = 30 000*0.7 = 21 000\)
\(Pt + Pb = 30 000*0.3 = 9000\)
\(At + Ab + Pt + Pb = 30 000\)
Solving for: \(At + Pt\)
(1) The number of apple trees that were planted prior to this year is 14 times the number of pear trees that were planted this year.
\(Ab = 14Pt\)
The statement does not provide enough information with which one can solve for the answer.
INSUFFICIENT
(2) The number of pear trees planted prior to this year is 8 times the number of pear trees that were planted this year.
\(Pb = 8Pt\)
Which means that the \(Pb:Pt\) are in a ratio of \(8:1\) and that there are \(8000\) pear trees which were planted prior to this year and \(1000\) which were planted this year.
Without more information one cannot solve for the answer.
INSUFFICIENT
(1+2)
As one knows from statement 2 that there \(Pb = 8000\) and \(Pt = 1000\), plugging in the value for \(Pt\) into statement 1's \(Ab = 14Pt\) gives that \(Ab = 14 000\) which means that \(At = 7000\).
From this one knows that \(At + Pt = 1000 + 7000 = 8000\)
SUFFICIENT
ANSWER C
Let Apple trees planted before = \(Ab\)
Let Pear trees planted this year = \(Pt\)
Let Pear trees planted before = \(Pb\)
\(At + Ab = 30 000*0.7 = 21 000\)
\(Pt + Pb = 30 000*0.3 = 9000\)
\(At + Ab + Pt + Pb = 30 000\)
Solving for: \(At + Pt\)
(1) The number of apple trees that were planted prior to this year is 14 times the number of pear trees that were planted this year.
\(Ab = 14Pt\)
The statement does not provide enough information with which one can solve for the answer.
INSUFFICIENT
(2) The number of pear trees planted prior to this year is 8 times the number of pear trees that were planted this year.
\(Pb = 8Pt\)
Which means that the \(Pb:Pt\) are in a ratio of \(8:1\) and that there are \(8000\) pear trees which were planted prior to this year and \(1000\) which were planted this year.
Without more information one cannot solve for the answer.
INSUFFICIENT
(1+2)
As one knows from statement 2 that there \(Pb = 8000\) and \(Pt = 1000\), plugging in the value for \(Pt\) into statement 1's \(Ab = 14Pt\) gives that \(Ab = 14 000\) which means that \(At = 7000\).
From this one knows that \(At + Pt = 1000 + 7000 = 8000\)
SUFFICIENT
ANSWER C
04 Nov 2025, 08:34
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This question needs the assumption that all the trees currently in the orchard are either planted this year or prior to this year and very unlikely of GMAT question pattern.
