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 | - | - | - | - |
In College B, if the number of non-teaching males is 26 more than the teaching males, the difference between the number of non-teaching males and non-teaching females is 122, and the number of males is greater than the number of females, then the number of employees is
Answer: D. 829 — ConceptWhen a total is divided into two groups, the total equals the sum of the groups. Each group can likewise be split into teaching and non-teaching…
- A.
768
- B.
867
- C.
748
- D.
829
Show answer & explanation
Correct answer: D
Concept
When a total is divided into two groups, the total equals the sum of the groups. Each group can likewise be split into teaching and non-teaching employees.
A stated absolute difference gives two possible values. An inequality such as males greater than females selects the value consistent with all conditions.
Application
College B has 215 teaching males. Therefore, non-teaching males = 215 + 26 = 241.
Total males = 215 + 241 = 456.
Let the number of non-teaching females be x. Since the difference between 241 and x is 122, x can be 241 − 122 = 119 or 241 + 122 = 363.
There are 254 teaching females. If x = 363, total females = 254 + 363 = 617, which is greater than 456 males and violates the condition. Hence x = 119.
Total females = 254 + 119 = 373, so total employees = 456 + 373 = 829.
Cross-check
For 829 employees, the female count is 829 − 456 = 373 and the non-teaching female count is 373 − 254 = 119.
The difference 241 − 119 equals 122, and 456 males is greater than 373 females. Thus all stated conditions hold, giving 829 employees.