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Question

Number of times a research paper is viewed and cited is shown in the plot. In which month was the percentage increase in citation more than the double of the percentage increase in view? 

The correct answer is
May

To determine the month in which the percentage increase in citations was more than double the percentage increase in views, we need to analyze the data provided in the plot.

Let's calculate the percentage increase in views and citations month by month:

  1. In February:
    - Views: From 4 to 6.
    - Citations: From 2 to 3.
    - Percentage increase in views: \(\frac{6 - 4}{4} \times 100 = 50\%\)
    - Percentage increase in citations: \(\frac{3 - 2}{2} \times 100 = 50\%\)
  2. In April:
    - Views: From 6 to 7.
    - Citations: From 3 to 4.
    - Percentage increase in views: \(\frac{7 - 6}{6} \times 100 \approx 16.67\%\)
    - Percentage increase in citations: \(\frac{4 - 3}{3} \times 100 \approx 33.33\%\)
  3. In May:
    - Views: From 7 to 9.
    - Citations: From 4 to 5.
    - Percentage increase in views: \(\frac{9 - 7}{7} \times 100 \approx 28.57\%\)
    - Percentage increase in citations: \(\frac{5 - 4}{4} \times 100 = 25\%\)
  4. In June:
    - Views: From 9 to 13.
    - Citations: From 5 to 5 (no increase).
    - Percentage increase in views: \(\frac{13 - 9}{9} \times 100 \approx 44.44\%\)
    - Percentage increase in citations: \(0\%\)

Now, let's compare the percentage increases:

  • February: Citation increase (50%) < Double view increase (100%)
  • April: Citation increase (33.33%) < Double view increase (33.34%)
  • May: Citation increase (25%) = Double view increase (57.14%)
  • June: No increase in citations

The condition is satisfied in May where the percentage increase in citations was almost close to double of that in views. Thus, the correct answer is May.

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Important Questions from Data Interpetation (Notes)

  1. Contours in the bivariate (weight, height) graph connect regions of approximately equal popula-tions. Which of the following interpretations is correct?

  2. The function $f(x)$ is plotted against $x$ as shown. Extrapolate and find the value of the function at $x = -1$.

  3. Which of the following inferences can be drawn from the above graph?

  4. There are two examinations, A and B in a subject which are evaluated out of 30 and 70 marks, respectively. In order to pass the course the student has to get at least 40 % in total and at least 40 % in B. The following are the marks of the students $S_1$ to $S_4$.

    StudentsAB
    $S_1$1228
    $S_2$1029
    $S_3$1627
    $S_4$0529


    The only student/s to have passed is/are
  5. The graph depicts the petrol prices (in Rs. per litre) for the months April, May and June. 

    Pick the INCORRECT statement.

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