A college has four programs B.A., B.Sc., B.Com. and B.B.A. The results of the mid-semester and end-semester tests are shown in the table given below.Results Number of students Β.Α. B.Sc. B.Com. Β.Β.Α. Failed in both tests 28 23 17 27 Failed in mid-semester test but passed in end-semester test 14 12 8 13 passed in mid-semester test but failed in end-semester test 6 17 9 15 Passed in both tests 64 55 46 76
Program Difficulty Comparison
The objective is to identify the program with the least difficult mid-semester test. The criterion used is the number of students passing the test.
A test is considered least difficult when the highest number of students pass it. To find this, we calculate the total number of students who passed the mid-semester test for each program.
Students who passed the mid-semester test are those who either:
- Passed the mid-semester test but failed the end-semester test.
- Passed both the mid-semester and end-semester tests.
Calculate Mid-Semester Passers
From the given table, the relevant data for students passing the mid-semester test are:
| Results | B.A. | B.Sc. | B.Com. | B.B.A. |
|---|---|---|---|---|
| Passed in mid-semester test but failed in end-semester test | 6 | 17 | 9 | 15 |
| Passed in both tests | 64 | 55 | 46 | 76 |
Now, calculate the total number of students who passed the mid-semester test for each program:
- B.A.: $6 + 64 = 70$ students
- B.Sc.: $17 + 55 = 72$ students
- B.Com.: $9 + 46 = 55$ students
- B.B.A.: $15 + 76 = 91$ students
Identify Least Difficult Mid-Semester Test
Compare the number of students passing the mid-semester test across all programs:
- B.A.: 70
- B.Sc.: 72
- B.Com.: 55
- B.B.A.: 91
The B.B.A. program recorded the highest number of students (91) passing the mid-semester test. This indicates that the mid-semester test for B.B.A. was the least difficult among the programs.
Important Questions from Data Interpretation
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
