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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. Answer the question on the basis of the informations given below :
    Three different climatic factors for four cities in India are shown in the following table :
    CityAverage Annual Rainfall (in mm)Average Annual Temperature (in degree centigrade)Maximum humidity in the year
    A7521126
    B8617130
    C6817160
    D7024150

    If humidity factor is defined as average annual rainfall divided by average annual temperature for the cities, the humidity factor is highest for which city ?
  2. The pie charts show placement percentages of graduates of five different subjects out of the total campus placements for two consecutive years. 



     In the year 2024, the number of Maths students who got placed was the double that of the previous year. Which of the following is the closest to the percentage change in the number of Life Sciences students placed in the year 2024?

  3. The following ternary figure shows the marks obtained by students A, B and C in an exam of 100 marks. Here, C received 10 marks in Physics, 50 marks in Chemistry and 40 marks in Mathematics. 

    Which one of the following is CORRECT?

  4. The Sankey diagram shows food preferences of males and females. The widths of the bands are proportional to numbers of persons opting for a given food item.

     Which one of the following is an INCORRECT statement about the food preferences?

  5. The following figure shows densities and masses of five objects (A to E).
     


    The object with the largest volume is _____

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