Comprehension
In an organization, the total number of employees working in various Departments viz. IT, Marketing, Purchase, HR, Accounts and Production are 4,500. The information regarding department wise percentage of employees was collected and also record about gender ratio of employees was prepared. 18 percent of total number of employees work in IT department and ratio of males to females in IT department is 2 : 1. In Marketing, ratio of males to females is 2 : 3 and number of employees engaged in marketing is 20% of the total employment. 12% of the total numbers of workers are running the HR department and the ratio of males to females in this department is 5 : 1. The fraction of male to females in production department is 3 : 2 and total number of persons employed in this department is 15% of the total workforce. The number of persons occupied in purchase and accounts department is 24% and 11% respectively of the total number of workers. Gender Ratio (Ratio of males to females) in Purchase department is 1 : 1 and in Accounts is 1 : 2.
Question: 1

How many females are employed in Purchase department ?

Updated On: Jul 14, 2026
  • 450
  • 540
  • 495
  • 595
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Purchase department employs 24% of the total 4,500 staff: \( 0.24 \times 4500 = 1080 \).

Step 2: The male to female ratio in Purchase is 1:1, so the 1,080 employees are split into 2 equal parts of 540 each.

Step 3: Therefore, the number of females in Purchase is 540.
\[ \boxed{540} \]
Was this answer helpful?
0
Question: 2

How many employees are working in IT and Accounts departments together ?

Updated On: Jul 14, 2026
  • 1,702
  • 1,646
  • 1,766
  • 1,305
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: IT department strength is 18% of 4,500: \( 0.18 \times 4500 = 810 \).

Step 2: Accounts department strength is 11% of 4,500: \( 0.11 \times 4500 = 495 \).

Step 3: Adding the two together: \( 810 + 495 = 1305 \).
\[ \boxed{1305} \]
Was this answer helpful?
0
Question: 3

What is the ratio of total number of males to total number of females working in all the departments put together ?

Updated On: Jul 14, 2026
  • 63:41
  • 19:27
  • 41:34
  • 34:41
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Find the male and female count in each department: IT (810 total, 2:1) gives 540M, 270F; Marketing (900 total, 2:3) gives 360M, 540F; HR (540 total, 5:1) gives 450M, 90F.

Step 2: Production (675 total, 3:2) gives 405M, 270F; Purchase (1080 total, 1:1) gives 540M, 540F; Accounts (495 total, 1:2) gives 165M, 330F.

Step 3: Total males: \( 540+360+450+405+540+165 = 2460 \). Total females: \( 270+540+90+270+540+330 = 2040 \).

Step 4: Ratio of males to females: \( 2460:2040 \), which simplifies by dividing both terms by 60 to \( 41:34 \).
\[ \boxed{41:34} \]
Was this answer helpful?
0
Question: 4

Number of females in Marketing Department forms what percentage of the total number of employees in the organization ?

Updated On: Jul 14, 2026
  • 8%
  • 7%
  • 12%
  • 10%
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Marketing department strength is 20% of 4,500: \( 0.20 \times 4500 = 900 \).

Step 2: With a male to female ratio of 2:3 (5 parts total), females make up \( \frac{3}{5} \times 900 = 540 \).

Step 3: As a percentage of the total 4,500 employees: \( \frac{540}{4500} \times 100 = 12\% \).
\[ \boxed{12\%} \]
Was this answer helpful?
0
Question: 5

What is the ratio of number of males in Marketing Department to the number of males in HR department ?

Updated On: Jul 14, 2026
  • 4:5
  • 5:4
  • 7:3
  • 6:7
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Marketing has 900 employees (20% of 4,500). With a male to female ratio of 2:3 (5 parts), males are \( \frac{2}{5} \times 900 = 360 \).

Step 2: HR has 540 employees (12% of 4,500). With a male to female ratio of 5:1 (6 parts), males are \( \frac{5}{6} \times 540 = 450 \).

Step 3: Ratio of males in Marketing to males in HR: \( 360:450 \), which simplifies by dividing both terms by 90 to \( 4:5 \).
\[ \boxed{4:5} \]
Was this answer helpful?
0

Top Questions on Statistical Estimation

Questions Asked in CLAT exam

Read the passage and answer the question.

Passage (extract): The work which Gandhiji had taken up was not only regarding the achievement of political freedom but also the establishment of a new social order based on truth and non-violence, unity and peace, equality and universal brotherhood and maximum freedom for all. A new order cannot be established without radically changing the mind and attitude of men towards property and, at some stage or the other, the 'haves' have to yield place to the 'have-nots'. We have seen, in our time, attempts to achieve a kind of egalitarian society and the picture of it after it was achieved. But this was done, by and large, through the use of physical force. It may even be that, like a gas kept confined within containers under great pressure, or water held back by a big dam, once the barrier breaks, the reaction will one day sweep back with a violence equal in extent and intensity to what was used to establish and maintain the outward egalitarian form. This enforced egalitarianism contains, in its bosom, the seed of its own destruction. If egalitarianism is to endure, it has to be based not on the possession of the maximum material goods by a few or by all but on voluntary, enlightened renunciation of those goods which cannot be shared by others or can be enjoyed only at the expense of others.

According to the passage, egalitarianism will not survive if
View Solution
Read the passage and answer the question.

Passage (extract): The work which Gandhiji had taken up was not only regarding the achievement of political freedom but also the establishment of a new social order based on truth and non-violence, unity and peace, equality and universal brotherhood and maximum freedom for all. This unfinished part of his experiment was perhaps even more difficult to achieve than the achievement of political freedom. In the political struggle, the fight was against a foreign power and all one could do was either join it or wish it success and give it his/her moral support. In establishing a social order on this pattern, there was a strong possibility of a conflict arising between diverse groups and classes of our own people.

According to the passage, which was the unfinished part of Gandhi's experiment?
View Solution
Read the passage and answer the question.

Passage (extract): In the political struggle, the fight was against a foreign power and all one could do was either join it or wish it success and give it his/her moral support. Experience shows that man values his possessions even more than his life because in the former he sees the means for perpetuation and survival of his descendants even after his body is reduced to ashes. We have seen, in our time, attempts to achieve a kind of egalitarian society and the picture of it after it was achieved. But this was done, by and large, through the use of physical force. This enforced egalitarianism contains, in its bosom, the seed of its own destruction. The root cause of class conflict is possessiveness or the acquisitive instinct.

Which of the following statements is 'not true' in the context of the passage?
View Solution