All Exams Test series for 1 year @ ₹349 only
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.

Was this answer helpful?

Important Questions from Data Interpetation (Notes)

  1. The population of a town over the years 2000-2007 is shown in the given figure.

    It can be inferred that during 2000-2007,

  2. The areas (in km²) under forests in four countries A, B, C and D for the years 2014 and 2024 are shown in the given bar chart:

    The minimum percentage of deforestation during 2014-2024 was in country

  3. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
  4. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
  5. The number of questions asked in shift I from the topic Profit-Loss is what percent more than the number of questions asked in shift II from the topic Average?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App