Quant Quiz- Missing D.I

Direction: Answer the following questions based on the information given below: 

The proportion of male employees and the proportion of post graduates in a company are given below. The company has a total of 800 employees, 80% of whom are in the production department and the rest equally divided between the marketing and the accounts department.

1. What is the percentage of male employees in the production department?
1.  40%
2.  45%
3.  50%
4.  55%
5.  60%

2. In the marketing department, twenty five per cent of the post graduates are male. What is the difference between the number of female post graduates and male employees who are not post graduates?
1.  Less than 8
2.  Less than 10
3.   Less than 12
4.  Less than 14
5.  Less than 16

3. The difference between the number of Post graduates in Marketing department and Post graduates in Accounts department is?
1.   6
2.   8
3.   10
4.   9
5.  12

4. What percentage of employees in the marketing department are post graduates?
1.   40%
2.   45%
3.   50%
4.   55%
5.   60%

5. The number of Total males from all the departments are approx. what percent more than the number of males in Accounts department?
1.   35%
2.   32%
3.   29%
4.   25%
5.   39%

1. Percentage of males in the production department is: [288/640]*100 = 45%

2. Post graduates in marketing department = 32
Male Post graduates = 25% = 8
Hence, female Post graduates = 24
Hence, Male non Post graduates = 48-8 = 40
Required difference = 40-24 = 16

3. Difference = 40-32 = 8

4. Required percentage = [32/80]*100 = 40%

5. Males in Accounts department = 288
Total males = 380
Difference = 92
Required percentage = [92/288]*100 = approx. 32%

Detail Solution:- 
Total employees = 800 ⇒ total males = 0.475*800 = 380
Total Post graduates = 0.53*800 = 424
80% employees = in Production department = 640
Number of Post graduates in Production department = 0.55*640 = 352
Now, rest employees (800-640 = 160 are equally divided between marketing and accounts. Thus, both has 80-80 employees.
Number of males in Marketing = 0.6*80 = 48
Number of males in Accounts = 0.55*80 = 44
Post graduates in Accounts = 0.50*80 = 40
Post graduates in Marketing = 424-[352+40] = 32
And number of males in Production = 380-[48+44] = 288