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 | - | - | - | - |
The number of teaching males in College D is 46. If 124 males from College A, of whom 62 are non-teaching, are transferred to College D, then the new number of non-teaching males in College D is
Answer: C. 158 — ConceptWhen a total is divided into disjoint categories, the count of one category equals the total minus the count of the other category. After members enter…
- A.
124
- B.
62
- C.
158
- D.
166
Show answer & explanation
Correct answer: C
Concept
When a total is divided into disjoint categories, the count of one category equals the total minus the count of the other category.
After members enter a category, its new count equals the original count plus the incoming count for that same category.
Application
College D initially has 142 male employees, of whom 46 are teaching males. Therefore, its original number of non-teaching males is 142 − 46 = 96.
Among the 124 males transferred from College A, 62 are non-teaching males. Thus, 62 is the incoming count relevant to this category.
Add the incoming non-teaching males to the original non-teaching males: 96 + 62 = 158.
Cross-check
The transfer brings 124 − 62 = 62 teaching males. College D then has 46 + 62 = 108 teaching males and 142 + 124 = 266 male employees in total; 108 + 158 = 266, so the category totals agree.
Result
The new number of non-teaching males in College D is 158.