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
$\begin{array}{ccccccc}State\to & A& B& C& D& E& F\\ Year\downarrow & & & & & & \\ & N\mid P& N\mid P& N\mid P& N\mid P& N\mid P& N\mid P\\ 2004& 1.23\mid 42& 1.04\mid 51& 1.11\mid 32& 1.32\mid 24& 1.23\mid 36& 1.33\mid 31\\ 2005& 1.05\mid 43& 1.12\mid 62& 1.07\mid 47& 1.15\mid 49& 1.18\mid 55& 1.24\mid 24\\ 2006& 2.04\mid 38& 1.48\mid 32& 1.08\mid 28& 1.96\mid 35& 1.42\mid 49& 1.58\mid 26\\ 2007& 1.98\mid 41& 2.07\mid 43& 1.19\mid 30& 1.88\mid 46& 1.36\mid 47& 1.79\mid 29\\ 2008& 1.66\mid 53& 1.81\mid 50& 1.56\mid 42& 1.82\mid 60& 1.73\mid 57& 1.86\mid 34\\ 2009& 1.57\mid 39& 1.73\mid 36& 1.64\mid 52& 2.01\mid 56& 1.69\mid 55& 1.95\mid 37\end{array}$
What is the total number of candidates clearing the entrance exam from States E and F together in the year 2006?

• A. 16160
• B. 110660
• C. 101066
• D. 1106600
• E. None of these

Answer 1

The correct option is B 110660

$(1.42\times \frac{49}{100}+1.58\times \frac{26}{100})\times {10}^5=(0.6958+0.4108){10}^5=\left(1.1066\right)\times {10}^5=110660$