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The table given here shows production of five types of cars by a company in the year $2010$ to $2015$. Study the table and answer the question.

$\textbf{Production of Cars by a Company}$

$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline &\text{Year/Type} & \text{2010} & \text{2011} & \text{2012} & \text{2013} & \text{2014} & \text{2015} & \text{Total} \\ \hline &\text{P} & \text{8} & \text{20} & \text{16} & \text{17} & \text{21} & \text{6} & \text{88} \\ \hline &\text{Q} & \text{16} & \text{10} & \text{14} & \text{12} & \text{12} & \text{14} & \text{78}\\ \hline &\text{R} & \text{21} & \text{17} & \text{16} & \text{15} & \text{13} & \text{8} & \text{90} \\ \hline &\text{S} & \text{4} & \text{6} & \text{10} & \text{16} & \text{20} & \text{31} & \text{87} \\ \hline &\text{T} & \text{25} & \text{18} & \text{19} & \text{30} & \text{14} & \text{27} & \text{133} \\ \hline &\text{Total} & \text{74} & \text{71} & \text{75} & \text{90} & \text{80} & \text{86} & \text{476} \\ \hline \end{array}$

In which year the total production of car of types $P$ and $Q$ together was equal to the total production of cars of types $R$ and $S$ together ?

1. $2011$
2. $2012$
3. $2015$
4. None of the above

1 comment

Its same only for 2014. So none of the above.

1. None of these (None of the given years P+Q sum year is equal to R+S).
470 points
In $2011:P+Q = 20 + 10 = 30,R+S = 17 + 6 = 21$

In $2012:P+Q = 16 + 14 = 30,R+S = 16 + 10 = 26$

In $2015:P+Q = 6 + 14 = 20,R+S = 8 + 31 = 39$

So, the correct answer is $(D).$
13.7k points

1 vote
1