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 ?
How many females are employed in Purchase department ?
Updated On: Jul 14, 2026
- 450
- 540
- 495
- 595
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The Correct Option is B
Approach Solution - 1
The correct option is (B): 540.
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Approach Solution -2
Purchase department has 24% of the total 4,500 employees, which is \( 0.24 \times 4500 = 1080 \) employees. The male to female ratio in Purchase is 1:1, so the 1,080 employees split evenly. Let's check the options:
- 450: If females were 450, the department would total only 900 on a 1:1 split, less than the actual 1,080 employees in Purchase, so this is too low.
- 540: With a 1:1 ratio, females equal half of 1,080, which is \( \frac{1080}{2} = 540 \), matching this option exactly.
- 495: On a 1:1 split, 495 females would mean a department total of 990, still short of the actual 1,080 employees, so this does not fit.
- 595: A 1:1 split with 595 females would give a department total of 1,190, more than the actual 1,080 employees in Purchase, so this overstates the figure.
Since Purchase splits its 1,080 employees equally between males and females, the number of females works out to exactly 540.
Therefore, the correct answer is 540.
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Question: 2
How many employees are working in IT and Accounts departments together ?
How many employees are working in IT and Accounts departments together ?
Updated On: Jul 14, 2026
- 1,702
- 1,646
- 1,766
- 1,305
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The Correct Option is D
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The correct option is (D): 1,305.
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Approach Solution -2
IT department has 18% of the total 4,500 employees, which is \( 0.18 \times 4500 = 810 \). Accounts department has 11% of the total, which is \( 0.11 \times 4500 = 495 \). Let's check each option against their combined strength:
- 1,702: This is far higher than the sum of the two departments' actual employee counts, so it does not match.
- 1,646: This is also higher than the true combined figure, overstating the total by more than 300 employees.
- 1,766: This exceeds the actual combined count by an even larger margin, so it is inconsistent with the data.
- 1,305: Adding the IT and Accounts figures directly, \( 810 + 495 = 1305 \), matches this option exactly.
Since IT holds 810 employees and Accounts holds 495, their combined strength comes to exactly 1,305.
Therefore, the correct answer is 1,305.
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Question: 3
What is the ratio of total number of males to total number of females working in all the departments put together ?
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
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The Correct Option is C
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The correct option is (C): 41:34.
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Approach Solution -2
Working out males and females department by department: IT has 540 males and 270 females (2:1 of 810); Marketing has 360 males and 540 females (2:3 of 900); HR has 450 males and 90 females (5:1 of 540); Production has 405 males and 270 females (3:2 of 675); Purchase has 540 males and 540 females (1:1 of 1,080); Accounts has 165 males and 330 females (1:2 of 495). Totalling these, males sum to \( 540+360+450+405+540+165 = 2460 \) and females sum to \( 270+540+90+270+540+330 = 2040 \). Let's check the options:
- 63:41: Scaling this ratio to match the actual 2,460 males would require only about 1,602 females, far less than the actual 2,040 females, so this is incorrect.
- 19:27: This ratio has more females than males, but the organisation actually employs more males (2,460) than females (2,040), so this cannot be right.
- 41:34: Simplifying the actual totals, \( 2460:2040 \), by dividing both by 60 gives \( 41:34 \), which matches exactly.
- 34:41: This is the reverse of the correct ratio, putting females ahead of males, which contradicts the actual totals.
Simplifying the actual totals of 2,460 males and 2,040 females gives exactly 41:34.
Therefore, the correct answer is 41:34.
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Question: 4
Number of females in Marketing Department forms what percentage of the total number of employees in the organization ?
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%
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The Correct Option is C
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The correct option is (C): 12%.
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Approach Solution -2
Marketing department has 20% of the total 4,500 employees, which is \( 0.20 \times 4500 = 900 \). With a male to female ratio of 2:3, females account for \( \frac{3}{5} \times 900 = 540 \). Let's check the options against this figure as a share of the total 4,500 employees:
- 8%: This would correspond to only 360 females, less than the actual 540 females in Marketing, so it understates the figure.
- 7%: This corresponds to just 315 females, even further below the actual count, so this does not fit.
- 12%: This corresponds to \( 0.12 \times 4500 = 540 \) females, matching the actual number of females in Marketing exactly.
- 10%: This corresponds to 450 females, still short of the actual 540 females in the department, so it is incorrect.
Since Marketing has exactly 540 females out of 4,500 total employees, this works out to precisely 12%.
Therefore, the correct answer is 12%.
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Question: 5
What is the ratio of number of males in Marketing Department to the number of males in HR department ?
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
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The Correct Option is A
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The correct option is (A): 4:5.
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Marketing has 900 employees (20% of 4,500) with a male to female ratio of 2:3, giving \( \frac{2}{5} \times 900 = 360 \) males. HR has 540 employees (12% of 4,500) with a male to female ratio of 5:1, giving \( \frac{5}{6} \times 540 = 450 \) males. Let's check the options:
- 4:5: Simplifying the actual figures, \( 360:450 \), by dividing both by 90 gives \( 4:5 \), which matches exactly.
- 5:4: This is the reverse of the actual ratio, implying Marketing has more males than HR, but HR's 450 males actually exceed Marketing's 360.
- 7:3: Scaling this ratio to Marketing's 360 males would require HR to have only about 154 males, far below the actual 450, so this does not match.
- 6:7: Scaling this ratio to Marketing's 360 males would require HR to have 420 males, close to but not matching the actual 450, so this is incorrect.
Simplifying the actual male counts of 360 in Marketing and 450 in HR gives exactly 4:5.
Therefore, the correct answer is 4:5.
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