Question

What is the number of women in the accounts department ?

• A. 86
• B. 102
• C. 80
• D. 92
• A. 1628
• B. 1742
• C. 1766
• D. 1702
• A. 63 : 41
• B. 41 : 27
• C. 53 : 47
• D. 27 : 19
• A. 0.03
• B. 0.06
• C. 0.01
• D. 0.12
• A. 7 : 3
• B. 9 : 11
• C. 13 : 7
• D. 11 : 9

Answer 1

The Correct Option is D

Step 1 — Total employees in Accounts:
From the pie chart, Accounts department has 8% of the total employees.
Total employees = 4600.
So, Accounts employees = (8/100) × 4600 = 368.

Step 2 — Ratio of men to women in Accounts:
Men : Women = 3 : 1.
That means out of every 4 people, 3 are men and 1 is a woman.

Step 3 — Break down into groups:
Total groups = 368 ÷ 4 = 92 groups.
Each group has 1 woman, so women = 92.

Step 4 — Conclude:
Therefore, the number of women in the Accounts department is 92.

Answer: The correct option is (D) : 92.

Answer 2

Step 1 — Employees in IT Department:
From the pie chart, IT = 26% of 4600.
(26/100) × 4600 = 1196 employees.

Step 2 — Employees in HR Department:
From the pie chart, HR = 11% of 4600.
(11/100) × 4600 = 506 employees.

Step 3 — Add them together:
Total = 1196 (IT) + 506 (HR) = 1702.

Step 4 — Conclude:
Therefore, the total number of employees working in IT and HR departments together is 1702.

Answer: The correct option is (D) : 1702.

Answer 3

Step 1 — Find employees in each department:
- HR = 11% of 4600 = 506
- Accounts = 8% of 4600 = 368
- Production = 15% of 4600 = 690
- IT = 26% of 4600 = 1196
- Marketing = 22% of 4600 = 1012
- Merchandising = 18% of 4600 = 828

Step 2 — Apply given men : women ratios:
- HR (1:1) → Men = 506 ÷ 2 = 253, Women = 253
- Accounts (3:1) → Men = (3/4)×368 = 276, Women = (1/4)×368 = 92
- Production (3:2) → Men = (3/5)×690 = 414, Women = (2/5)×690 = 276
- IT (1:3) → Men = (1/4)×1196 = 299, Women = (3/4)×1196 = 897
- Marketing (1:1) → Men = 506, Women = 506
- Merchandising (5:1) → Men = (5/6)×828 = 690, Women = (1/6)×828 = 138

Step 3 — Total men and women:
Men = 253 + 276 + 414 + 299 + 506 + 690 = 2438
Women = 253 + 92 + 276 + 897 + 506 + 138 = 2162

Step 4 — Simplify ratio:
Men : Women = 2438 : 2162.
Divide both by their GCD = 46.
2438 ÷ 46 = 53, 2162 ÷ 46 = 47.
So ratio = 53 : 47.

Step 5 — Conclude:
Therefore, the ratio of the total number of men to women is 53 : 47.

Answer: The correct option is (C) : 53 : 47.

Answer 4

Step 1 — Total employees in Merchandising:
From the pie chart, Merchandising = 18% of 4600.
= (18/100) × 4600 = 828 employees.

Step 2 — Ratio of men to women in Merchandising:
Men : Women = 5 : 1 → Total parts = 6.
So, Women = (1/6) × 828 = 138.

Step 3 — Find required percentage:
Total employees in the organization = 4600.
Women in Merchandising = 138.
Percentage = (138 ÷ 4600) × 100 = 3%.

Step 4 — Correct interpretation:
In decimal form, 3% = 0.03.

Answer: The correct option is (A) : 0.03.

Answer 5

Step 1 — Employees in Production:
Production = 15% of 4600 = (15/100) × 4600 = 690.
Men : Women = 3 : 2 → Total parts = 5.
Men in Production = (3/5) × 690 = 414.

Step 2 — Employees in Marketing:
Marketing = 22% of 4600 = (22/100) × 4600 = 1012.
Men : Women = 1 : 1 → Men in Marketing = 1012 ÷ 2 = 506.

Step 3 — Ratio:
Men in Production : Men in Marketing = 414 : 506.
Simplify by dividing both by 46 → (414 ÷ 46) : (506 ÷ 46) = 9 : 11.

Step 4 — Conclude:
Therefore, the ratio of men in Production to men in Marketing is 9 : 11.

Answer: The correct option is (B) : 9 : 11.