The average production of 2006 and 2007 was exactly equal to the average production of which of the following… · ABC26GN5661
Subject: General Aptitude · Chapter: Bar Graphs
Study the following bargraph and answer the questions given below:
Production of Fertilizers by a Company (in 10000 tonnes) Over the Years
Years
Production
2005
25
2006
40
2007
60
2008
45
2009
65
2010
50
2011
75
2012
80
Chart drawn from the data printed in the source figure.
The average production of 2006 and 2007 was exactly equal to the average production of which of the following pairs of years?
(a)2010 and 2011
(b)2009 and 2010
(c)2008 and 2010
(d)2005 and 2009
(e)2005 and 2011
Answer
Answer (as printed): E
Explanation
Average production (in 10000 tonnes) during 2006 and 2007 $$=\frac{(40+60)}{2}=\frac{100}{2}=50 .$$ Average production (in 10000 tonnes) during: $$\begin{aligned} & (2010 \text { and } 2011) \rightarrow \frac{(50+75)}{2}=\frac{125}{2}=62.5 ; \\ & (2009 \text { and } 2010) \rightarrow \frac{(65+50)}{2}=\frac{115}{2}=57.5 ; \\ & (2008 \text { and } 2010) \rightarrow \frac{(45+50)}{2}=\frac{95}{2}=47.5 ; \\ & (2005 \text { and } 2009) \rightarrow \frac{(25+65)}{2}=\frac{90}{2}=45 ; \\ & (2005 \text { and } 2011) \rightarrow \frac{(25+75)}{2}=\frac{100}{2}=50 . \end{aligned}$$ ∴ Average production of 2006 and $2007=$ Average production of 2005 and 2011.
Explanation as extracted from the printed page; notation may be imperfect.