Question

Study the following table carefully to answer the questions that follow:

Number (N) of candidates (in lakhs) appearing for an entrance examination from six different states and the percentage (P) of candidates clearing the same over the years
$\begin{array}{ccccccc}State\to & A& B& C& D& E& F\\ Year\downarrow & & & & & & \\ & N\mid P& N\mid P& N\mid P& N\mid P& N\mid P& N\mid P\\ 2004& 1.23\mid 42& 1.04\mid 51& 1.11\mid 32& 1.32\mid 24& 1.23\mid 36& 1.33\mid 31\\ 2005& 1.05\mid 43& 1.12\mid 62& 1.07\mid 47& 1.15\mid 49& 1.18\mid 55& 1.24\mid 24\\ 2006& 2.04\mid 38& 1.48\mid 32& 1.08\mid 28& 1.96\mid 35& 1.42\mid 49& 1.58\mid 26\\ 2007& 1.98\mid 41& 2.07\mid 43& 1.19\mid 30& 1.88\mid 46& 1.36\mid 47& 1.79\mid 29\\ 2008& 1.66\mid 53& 1.81\mid 50& 1.56\mid 42& 1.82\mid 60& 1.73\mid 57& 1.86\mid 34\\ 2009& 1.57\mid 39& 1.73\mid 36& 1.64\mid 52& 2.01\mid 56& 1.69\mid 55& 1.95\mid 37\end{array}$
In which year did the highest number of candidates clear the entrance exam from state D?

• A. 2008
• B. 2006
• C. 2009
• D. 2007
• E. None of these

Answer 1

The correct option is C

2009

It seems that 2009 has the highest value. Compare it with the year 2008 as the percentage of candidate clearing the entrance exam is highest in it. It comes as 1.098 lakh.
For the rest of the years, appearing candidate as well as the percentage of those clearing the exams both are less with comparison to that in 2009 for 'D'.
Hence, it is not required to calculate the percentage (%) of clearing candidates separately for each year.
$\therefore$ For the year 2009, $2.01\times 56\%=1.1256lakh$, 'D' has the required highest value.