**Directions (01-05) : Study the following pie chart and table and answer accordingly.**

The following pie-charts show the percentage of employees in two companies X and Y who are working in different units. Total numbers of employees in X and Y are 2500 and 3000 respectively.

The following table shows the ratio of males and females of both the companies in different units

**1). In which of the following units, the number of male employees of company X is equal to that of female employees of company Y ?**

a) C

b) F

c) A

d) E

e) B

**2). By what per cent is the number of female employees of company Y for unit E more than that of male employees of company X for same unit ?**

a) 34%

b) 50%

c) 46.66%

d) 54.54%

e) None of these

**3). In which of the following two units, the number of male employees for company Y is the same ?**

a) A and B

b) A and C

c) D and E

d) B and C

e) None of these

**4). Find the ratio of the male employees in unit E of company X to the female employees in unit C of company Y.**

a) 2 : 5

b) 3 : 2

c) 2 : 3

d) 1 : 3

e) None of these

**5). In how many units of company Y are the female employees more than 200 ?**

a) Four

b) Five

c) Six

d) Three

e) None of these

**Directions (06–10) :**

The following line-graph shows the number of males and females of two different towns X and Y during the given years:

The following line-graph shows the number of males and females of two different towns X and Y during the given years:

**6). By what percent (in approx) the average population of both the towns has increased during the period 1994 to 1998 ?**

a) 5%

b) 8%

c) 7%

d) 4%

e) None of these

**7). Find the ratio between the average number of males of X and Y for the given period.**

a) 237 : 230

b) 239 : 230

c) 49 : 48

d) 230 : 237

e) None of these

**8). The population of X and Y in 1996 is how many times of 1994 ?**

a) 1.05

b) 0.94

c) 1.02

d) 0.91

e) None of these

**9). Find the number of years in which the number of females for X and Y are less than their respective average numbers.**

a) 0

b) 4

c) 3

d) 5

e) None of these

**10). In which of the following year the difference between the number of females in town X and number of males in town Y is maximum?**

a) 1994

b) 1995

c) 1998

d) 1996

e) 1997

Answer with Solution:

1. (A); Number of male employees in unit C for company X

= 14% of 2500 × (3/7) = 150

Number of female employees in unit C for company Y

= 15% of 3000 × (1/3) = 150

2. (E); Number of female employees of company Y in unit E

= 22% of 3000 × 1/3 = 220

Number of male employees of company X in unit E

= 10% of 2500 × 2/5 = 100

:. Required more % = (220-100)/100 × 100

= 120%

3. (B); Number of male employees in different units for company Y : A = 300,

B = 240, C = 300, D = 100, E = 440 and F = 150.

Hence, our answer is A and C.

4. (C); Required ratio = (10%of 2500×2/5) / (15% of 3000×1/3)= 2 : 3

5. (A); Number of female employees for company Y in different units:

A = 60, B = 300, C = 150, D = 500, E = 220 and F = 240

6. (C); Average population (in thousands) of both the towns in 1994

= (45+44+48+45)/2

= 45 + 22 + 24 = 91 and that in 1998

= (50+47+50+47)/ 2

= 50 + 47 = 97

:. Required percentage increase = (6/91) × 100

= 6.59% Approx. 7%.

7. (B); Required ratio

8. (A); Population of X and Y in 1996

= (50 + 47+47 + 48 ) × 1000 = 192000

Population of X and Y in 1994

= (45 + 44 + 48 + 45) × 1000 = 182000

Now, 192 × 1000 = x × 182 × 1000

:. x = (192/182) = 1.05

9. (B); Average number of females for

X =1/5 (45 + 47 + 48 + 50 + 47) × 1000

= 237 × 200 = 47400

Y =1/5 (48 + 49 + 47 + 50 + 50) × 1000

= 244 × 200 = 48800

So, 1994, 1995 and 1998 are the three desired years for X and 1994 and 1996

are the two desired years for Y. Hence the required number of years is four

(1994, 1995, 1996 and 1998).

10. (B)

In 1994 → (45000 – 44000) = 1000

In 1995 → (47000 - 44000) = 3000

In 1996 → (48000 – 47000) = 1000

In 1997 → (50000 – 48000) = 2000

In 1998 → (47000 – 47000) = 0

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