Data Interpretation Questions and Answers

Analysis of the graph: From the graph it is clear that

1. The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.

2. The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.

3. The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively.

Average annual exports (in Rs. crore) of Company Y during the given period

= 1/7 x (80 + 40 + 60 + 60 + 80 + 100 + 140) = 560/7 = 80

Average annual exports (in Rs. crore) of Company Z during the given period

= 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100) = ( 600/7 )

Therefore Required percentage = [ 80/( 600/7 ) x 100 ] % ≈ 93.33%.

Total exports of the three Companies X, Y and Z together, during various years are:

In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.

In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.

In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.

In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.

In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.

In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.

In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.

Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

For State Q:

Male population below poverty line = 2.4 million.

Let the female population below poverty line be x million.

Then, 3 : 5 = 2.4 : x  =>  x = (5 x 2.4)/3 = 4

Therefore Total population below poverty line = (2.4 + 4) = 6.4 million.

If N_q be the total population of State Q, then,

25% of N_q = 6.4 million  =>  N_q = ( (6.4 x 100)/25 ) million = 25.6 million.

For State T:

Male population below poverty line = 6 million.

Let the female population below poverty line be y million.

Then, 5 : 3 = 6 : y  =>  y = (3 x 6)/5 = 3.6

Therefore Total population below poverty line = (6 + 3.6) = 9.6 million.

If N_t be the total population of State T, then,

15% of N_t = 9.6 million  =>  N_t = ( (9.6 x 100)/15 ) million = 64 million.

Thus, Required ratio = N_q/N_t = 25.6/64 = 0.4 = 2.5

Female population below poverty line for State P = 2.1 million

Let the male population below poverty line for State P be x million.

Then, 5 : 6 = x : 21 => x = (2.1 x 5)/6 = 1.75

Therefore Population below poverty line for State P = (2.1 + 1.75) million = 3.85 million.

Let the population above poverty line for State P be y million.

Since, 35% of the total population of State P is below poverty line, therefore, 65% of the total population of State P is above poverty line i.e., the ratio of population below poverty line to that above poverty line for State P is 35 : 65.

Therefore 35 : 65 = 3.85 : y  =>  y = (65 x 3.85)/35 = 7.15

Therefore Population above poverty line for State P = 7.15 million and so, male population above poverty line for State P

= ( 6/13 x 7.15 ) million

= 3.3 million

Total population of State S = 7 million.

Therefore Population above poverty line

= [(100 - 19)% of 7] million

= (81% of 7) million

= 5.67 million.

And so, the number of females above poverty line in State S

= ( 3/7 x 5.67 ) million

= 2.43 million.

Let the total population of State R be x million.

Then, population of State R above poverty line

= [(100 - 24)% of x] million

= ( 76/100 x x ) million

And so, male population of State R above poverty line

= [ 2/5 x ( 76/100 x x ) ] million

But, it is given that male population of State R above poverty line= 1.9 million.

Therefore 2/5 x ( 76/100 x x ) = 1.9 => x = (5 x 100 x 1.9)/76 x 2 = 6.25

Therefore Total population of State R = 6.25 million.

Total number of Operators who left the Company during 1995 - 2000

= (104 + 120 + 100 + 112 + 144)

= 580.

Total number of Operators who joined the Company during 1995 - 2000

= (880 + 256 + 240 + 208 + 192 + 248)

= 2024.

Therefore Required Percentage

= ( 580/2024 x 100 ) %

= 28.66%

≈ 29%.

Total number of employees of various categories working in the Company in 1997 are:

Managers = (760 + 280 + 179) - (120 + 92) = 1007.

Technicians = (1200 + 272 + 240) - (120 + 128) = 1464.

Operators = (880 + 256 + 240) - (104 + 120) = 1152.

Accountants = (1160 + 200 + 224) - (100 + 104) = 1380.

Peons = (820 + 184 + 152) - (96 + 88) = 972.

Therefore Pooled average of all the five categories of employees working in the Company in 1997

= 1/5 x (1007 + 1464 + 1152 + 1380 + 972)

= 1/5 x (5975) 

= 1195.

Number of Managers working in the Company:

In 1995 = 760.

In 2000 = (760 + 280 + 179 + 148 + 160 + 193) - (120 + 92 + 88 + 72 + 96)

= 1252.

Therefore Percentage increase in the number of Managers

= [ (1252 - 760)/760 x 100 ] % = 64.74%.

Number of Technicians working in the Company:

In 1995 = 1200.

In 2000 = (1200 + 272 + 240 + 236 + 256 + 288) - (120 + 128 + 96 + 100 + 112)

= 1936.

Therefore Percentage increase in the number of Technicians

= [ (1936 - 1200)/1200 x 100 ] % = 61.33%.

Number of Operators working in the Company:

In 1995 = 880.

In 2000 = (880 + 256 + 240 + 208 + 192 + 248) - (104 + 120 + 100 + 112 + 144)

= 1444.

Therefore Percentage increase in the number of Operators

= [ (1444 - 880)/880 x 100 ] % = 64.09%.

Number of Accountants working in the Company:

In 1995 = 1160.

In 2000 = (1160 + 200 + 224 + 248 + 272 + 260) - (100 + 104 + 96 + 88 + 92)

= 1884.

Therefore Percentage increase in the number of Accountants

= [ (1884 - 1160)/1160 x 100 ] % = 62.41%.

Number of Peons working in the Company:

In 1995 = 820.

In 2000 = (820 + 184 + 152 + 196 + 224 + 200) - (96 + 88 + 80 + 120 + 104)

= 1288.

Therefore Percentage increase in the number of Peons = [ (1288 - 820)/820 x 100 ] % = 57.07%.

Clearly, the percentage increase is maximum in case of Managers

Total number of Peons working in the Company in 1999

    = (820 + 184 + 152 + 196 + 224) - (96 + 88 + 80 + 120)

    = 1192