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Question

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

The correct answer is
$S_1$

Examination Passing Criteria Analysis

To determine which student(s) passed, we need to evaluate their performance against the set criteria.

Calculate Passing Thresholds

  • Total Maximum Marks: Examination A (30 marks) + Examination B (70 marks) = 100 marks.
  • Minimum Total Percentage Required: 40% of 100 marks = $0.40 \times 100 = 40$ marks.
  • Minimum Marks in Examination B Required: 40% of 70 marks = $0.40 \times 70 = 28$ marks.

Student Marks Evaluation

The passing requirements are: total marks $\ge$ 40 AND marks in B $\ge$ 28.

Student Marks in A (out of 30) Marks in B (out of 70) Total Marks (out of 100) Pass Criteria Met? (Total $\ge$ 40 AND B $\ge$ 28)
$S_1$ 12 28 $12 + 28 = 40$ Yes (40 $\ge$ 40 AND 28 $\ge$ 28)
$S_2$ 10 29 $10 + 29 = 39$ No (Total 39 < 40)
$S_3$ 16 27 $16 + 27 = 43$ No (B 27 < 28)
$S_4$ 0 29 $0 + 29 = 29$ No (Total 29 < 40)

Conclusion on Passing Students

Based on the evaluation:

  • $S_1$ meets both criteria (Total = 40, B = 28).
  • $S_2$ fails because the total marks (39) are less than 40.
  • $S_3$ fails because the marks in B (27) are less than 28.
  • $S_4$ fails because the total marks (29) are less than 40.

Therefore, only student $S_1$ has passed the course.

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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. 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? 

  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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