Question 1

Approximately what was the expenditure in 1994?

Accepted Answer

Let us assume E was the expenditure in 1994. As we can see in the graph given that, Profit = 15 % , Income in 1994 = 160 Then according to question, E + E x 15 % = 160 E + E x 15 /100 = 160 (100E + E x 15 ) /100 = 160 115E / 100 = 160 115E = 160 x 100 E = 160 x 100 / 115 E = 139.13 Expenditure in 1994 E = 139.13 ≈ 140 Million

Question 2

If the profit percentage in 1997 was 25, what would have been the expenditure in that year?

Accepted Answer

Let us assume E was the expenditure in 1997. As we can see in the given graph that, Income in 1997 = 190 Profit = 25 % (Given in the question.) Then according to question, E + E x 25 % = 190 E + E x 25 /100 = 190 (100E + E x 25 ) /100 = 190 125E / 100 = 160 125E = 190 x 100 E = 190 x 100 / 125 = 190 x 4 / 5 = 38 x 4 E = 152 Expenditure in 1997 E = 152 Million

Question 3

Approximately what was the average expenditure of the given years?

Accepted Answer

Total expenditure in 6 years = ( expenditure in 1993 + expenditure in 1994 + expenditure in 1995 + expenditure in 1996 + expenditure in 1997 + expenditure in 1998 ). As we can see in the given graph that, Income in 1993 = 120 Profit = 7.5 % Then Expenditure in 1993 = 120 X 100 / 107.5 Similarly Expenditure in 1994 = 160 X 100 / 115 Expenditure in 1995 = 130 X 100 / 122.5 Expenditure in 1996 = 170 X 100 / 117.5 Expenditure in 1997 = 190 X 100 / 120 Expenditure in 1998 = 150 X 100 / 127.5 Total Expenditure in 6 years = ( 120 X 100 / 107.5 ) + ( 160 X 100 / 115 ) + ( 130 X 100/122.5 ) + ( 170 X 100 / 117.5 ) + ( 190 X 110 / 120 ) + ( 150 X 100/127.5 ) Total Expenditure in 6 years = 111.6 2 +139.13 + 106.16 + 144.68 + 158.33 + 117.64 Total Expenditure in 6 years = 777.56 Average expenditure per years = 777.56 / 6 = 12 .59 ≈ $ 130 Million

Question 4

In which of the following years was the amount of profit the maximum?

Accepted Answer

Question 5

In which of the following years was the increase/ decrease in percent profit from the previous year the minimum?

Accepted Answer

Question 6

Total production for two years together by unit F is what % of the total production of the two years together by unit D? (rounded off to two digits after decimal)

Accepted Answer

As we can see in the graph that Total production by unit F in year 2001 and 2002 together = ( 70 + 85 ) = 155 Million tons Similarly Total production by unit D in year 2001 and 2002 together = ( 95 + 100 ) = 195 Million tons ∴ Required percentage = (Total production by unit F in year 2001 and 2002 together x 100 / Total production by unit D in year 2001 and 2002 together ) ∴ Required percentage = ( 155 x 100 / 195 ) =79.487 ≈ 79.49

Question 7

Average production of three units A, B and C in 2001 is what % of the average production of units D, E and F in 2002? (rounded off to two digits after decimal)

Accepted Answer

Question 8

What is the total production of units C, D and E together for both the years? (in Million tons)

Accepted Answer

As we can see in the graph that Total production by unit C, D and E in year 2001 and 2002 together = (100 + 110 + 95 + 100 + 85 + 105 ) Required total production = (100 + 110 + 95 + 100 + 85 + 105) = 595 Million tons.

Question 9

What is the average production of all the units (in million tons) for the year 2002?

Accepted Answer

Question 10

What is the ratio of total production for two years together for unit B to that for C?

Accepted Answer

Total production by unit B in 2001 and 2002 together = (75 + 60) = 135 Million tons Total production by unit C in 2001 and 2002 together = (100 + 110) = 210 Million tons ∴ Required ratio = (135:210) = 9:14.

Question 11

The total production of company C in 1993 and 1994 is what percentage of the total production of company A in 1991 and 1992?

Accepted Answer

Question 12

What is the percentage increase in production of company A from 1992 to 1993?

Accepted Answer

Question 13

What is the difference between the average production per year of the company with highest average production and that of the company with lowest average production in Million tonnes?

Accepted Answer

Average production of A = 50 Average production of B = 54.17 Average production of C = 50 Difference of production = 54.17 − 50 = 4.17.

Question 14

What is the difference between the production of company C in 1991 and the production of company A in 1996?

Accepted Answer

Difference of production of C in 1991 and A in 1996 = Production of company A in 1996 - Production of company C in 1991 Difference of production of C in 1991 and A in 1996 = ( 50 - 45 ) million tonnes = 5 x 1000000 = 5000000 ( Since 1 million = 10 lacks )

Question 15

For which of the following years the % of rise/fall in production from the previous year the maximum for company B?

Accepted Answer

Question 16

By how much the difference between the two highest total runs differs from the difference between the two lowest total runs?

Accepted Answer

Difference between two highest runs = 994 − 772 = 222 Difference between two lowest runs = 653 − 414 = 239 Difference = 239 − 222 = 17

Question 17

What is the difference between the average runs of top two openers in terms of highest runs, if matches having 0's were ignored?

Accepted Answer

Top two highest run scorer are A and E as per given graph. Total match = 20 Total match played by A if matches having 0's were ignored = 19 Total match played by E if matches having 0's were ignored = 20 Runs Scored by A = 994 Runs Scored by E = 772 Average runs of A = 994 / 19 = 52.3 Average runs of E = 772 / 20 = 38.6 Difference = 52.3 − 38.6 = 13.7

Question 18

Excluding the match with the highest runs and matches with 50–99 runs, what will be the approximate average runs for opener B?

Accepted Answer

Without knowing the individual runs of 8 openers, we cannot find the average runs of remaining batsmen.

Question 19

Which of the given pairs of openers have ratio 3:2 in their highest runs?

Accepted Answer

Solve all option one by one. Ratio of A and D = 141 : 94

Question 20

If matches having zero runs and the one with highest runs is ignored, what will be the average runs for opener C?

Accepted Answer

As per given graph in the question, Highest run scored by C = 52 Total run scored by C = 414 Number of match played by C if matches having zero runs and the one with highest runs is ignored = 20 - 1 - 2 = 17 Total runs scored by C if matches having zero runs and the one with highest runs is ignored = 414 - 0 - 52 = 362 Average runs of C = 362 / 17 = 21.29

Introduction to Data Interpretation Questions