Data Interpretation Questions and Answers

From the line-graph it is clear that the productions of Company X in the years 1997, 1998, 1999, 2000, 2001 and 2002 are 119000, 99000, 141000, 78000, 120000 and 159000 and those of Company Y are 139000, 120000,100000, 128000, 107000 and 148000 respectively.

Total production of Company X from 1997 to 2002

    = 119000 + 99000 + 141000 + 78000 + 120000 + 159000

    = 716000.

and total production of Company Y from 1997 to 2002

    = 139000 + 120000 + 100000 + 128000 + 107000 + 148000

    = 742000.

Difference = (742000 - 716000) = 26000.

Required difference = (128000 - 107000) = 21000.

The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.

Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.

Thus, there are four such years.

Ratio of imports to exports in the year 1996 = 0.85

Let the exports in 1996 = Rs. x crores.

Then, 272/x = 0.85  =>  x = 272/0.85 = 320

Therefore Exports in 1996 = Rs. 320 crores.

The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years.

Hence, the data is inadequate to answer this question.

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.

Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.

Let the exports in the year 1998 = Rs. x crores.

Then, the exports in the year 1999 = Rs. (500 - x) crores.

Therefore 1.25 = 250/x  =>  x = 250/1.25 = 200 [Using ratio for 1998]

Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.

Let the imports in the year 1999 = Rs. y crores.

Then, 1.40 = y/300   =>  y = (300 x 1.40) = 420

Therefore Imports in the year 1999 = Rs. 420 crores.

Average annual exports of Company Z during the given period

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

= Rs. ( 600/7 ) crores

= Rs. 85.71 crores.

From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.

Average exports of the three Companies X, Y and Z in 1993

= Rs. [ 1/3 x (30 + 80 + 60) ] crores = Rs. ( 170/3 ) crores

Average exports of the three Companies X, Y and Z in 1998

= Rs. [ 1/3 x (50 + 100 + 80) ] crores = Rs. ( 230/3 ) crores

Difference = Rs. [ ( 230/3 ) - ( 170/3 ) ] crores 

= Rs. ( 60/3 ) crores

= Rs. 20 crores

The difference between the exports from the Companies X and Y during the various years are:

In 1993 = Rs. (80 - 30) crores = Rs. 50 crores.

In 1994 = Rs. (60 - 40) crores = Rs. 20 crores.

In 1995 = Rs. (60 - 40) crores = Rs. 20 crores.

In 1996 = Rs. (70 - 60) crores = Rs. 10 crores.

In 1997 = Rs. (100 - 80) crores = Rs. 20 crores.

In 1998 = Rs. (100 - 50) crores = Rs. 50 crores.

In 1999 = Rs. (140 - 120) crores = Rs. 20 crores.

Clearly, the difference is minimum in the year 1996.