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 D, if the number of teaching females and non-teaching females are equal and the number of teaching males is 5 more than the number of teaching females, then the difference between non-teaching males and non-teaching females is
Answer: C. 55 — CONCEPTWhen a total is divided into two equal parts, each part is one-half of the total. For a category split into teaching and non-teaching groups, the two…
- A.
224
- B.
102
- C.
55
- D.
79
Show answer & explanation
Correct answer: C
CONCEPT
When a total is divided into two equal parts, each part is one-half of the total.
For a category split into teaching and non-teaching groups, the two group counts add to the category total. A stated difference can be found after each group count is determined.
APPLICATION
College D has 82 female employees. Since teaching females and non-teaching females are equal, each group has 82 ÷ 2 = 41 employees.
Teaching males are 5 more than teaching females, so teaching males = 41 + 5 = 46.
College D has 142 male employees. Therefore, non-teaching males = 142 − 46 = 96.
The required difference = 96 − 41 = 55.
CROSS-CHECK
The reconstructed totals are 46 + 96 = 142 males and 41 + 41 = 82 females, which match the table. Hence the required difference is 55.