The following table shows the percentage of marks obtained by 7 students in different subjects. Study the table data and answer the question 1 to 5 based on this data. (Here M.M = maximum marks in a subject)Percentage of marks obtained by students Subject → English
(Μ.Μ=150)Economics
(Μ.Μ=130)Sociology
(Μ.Μ=120)Philosphy
(M.M=100)Psychology
(Μ.Μ=60)IT
(Μ.Μ=40)↓ Student A 80 50 80 60 70 80 B 90 80 70 40 80 70 C 80 60 70 70 80 70 D 70 65 80 80 60 60 E 70 65 80 75 50 80 F 60 75 60 80 40 60 G 60 35 50 70 70 70
Identifying Students Scoring $\ge$ 70% in At Least 4 Subjects
The question asks us to count the number of students who have achieved a score of 70% or more in a minimum of 4 subjects. We need to examine the performance of each student based on the provided table.
Student Performance Analysis
We will check each student's marks subject by subject to count how many subjects meet the condition ($\ge 70\%$).
- Student A: Scored $\ge 70\%$ in English (80%), Sociology (80%), Psychology (70%), and IT (80%). This is a total of 4 subjects. Student A meets the condition.
- Student B: Scored $\ge 70\%$ in English (90%), Economics (80%), Sociology (70%), Psychology (80%), and IT (70%). This is a total of 5 subjects. Student B meets the condition.
- Student C: Scored $\ge 70\%$ in English (80%), Sociology (70%), Philosophy (70%), Psychology (80%), and IT (70%). This is a total of 5 subjects. Student C meets the condition.
- Student D: Scored $\ge 70\%$ in English (70%), Sociology (80%), and Philosophy (80%). This is a total of 3 subjects. Student D does not meet the condition.
- Student E: Scored $\ge 70\%$ in English (70%), Sociology (80%), Philosophy (75%), and IT (80%). This is a total of 4 subjects. Student E meets the condition.
- Student F: Scored $\ge 70\%$ in Economics (75%) and Philosophy (80%). This is a total of 2 subjects. Student F does not meet the condition.
- Student G: Scored $\ge 70\%$ in Philosophy (70%), Psychology (70%), and IT (70%). This is a total of 3 subjects. Student G does not meet the condition.
Counting Eligible Students
By analyzing each student's performance:
- Students meeting the criteria are A, B, C, and E.
- The total number of students who scored $\ge 70\%$ marks in at least 4 subjects is 4.
Therefore, 4 students satisfy the given condition.
Important Questions from Mixed Data Interpretation
Consider the following data:
What is the value of x in the above table?
Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?
X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to compete in a race of 1000 m, how many metres start will Y give to Z?
If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?
Ena was born 4 years after her parents' marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married
