The following table shows the number of employees working in four different…
2023
The following table shows the number of employees working in four different colleges A-D, along with number of males, females, teaching males, teaching females, non-teaching males and non-teaching females among them in a given year. Some values are missing in the table (marked as '-') that you are expected to calculate if required. Based on the data in the table answer the questions that follow.
College-wise details of employees
College | Employees | Male Employees | Female Employees | Teaching Males | Non-Teaching Males | Teaching Females | Non-Teaching Females |
|---|---|---|---|---|---|---|---|
A | 756 | 526 | - | 325 | - | - | - |
B | - | - | - | 215 | - | 254 | - |
C | - | 159 | - | - | - | - | - |
D | 224 | 142 | 82 | - | - | - | - |
If the number of females in College C is 147 more than the number of females in College A and the sum of teaching males and teaching females in College C is 115, then the sum of non-teaching males and non-teaching females in College C is
Answer: A. 421 — ConceptIn a grouped employee table, each total is the sum of its disjoint categories: total employees = male employees + female employees, and total employees…
- A.
421
- B.
415
- C.
467
- D.
435
Show answer & explanation
Correct answer: A
Concept
In a grouped employee table, each total is the sum of its disjoint categories: total employees = male employees + female employees, and total employees = teaching employees + non-teaching employees.
Therefore, a missing subgroup total can be found by subtracting the known complementary subgroup from the overall total.
Application
For College A, female employees = 756 - 526 = 230.
For College C, female employees = 230 + 147 = 377.
Hence, total employees in College C = 159 + 377 = 536.
Teaching employees in College C = 115, so non-teaching employees = 536 - 115 = 421.
Cross-check
Teaching and non-teaching employees should add to the college total. Here, 115 + 421 = 536, which agrees with 159 male employees + 377 female employees = 536.
Thus, the required sum is 421.