Line Charts Questions & Answers - Page 11

51.

Study the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore)

What was the difference between the average exports of the three Companies in 1993 and the average exports in 1998?

A.

Rs. 15.33 crores

B.

Rs. 18.67 crores

C.

Rs. 20 crores

D.

Rs. 22.17 crores

Correct answer is C

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

52.

Study the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore)

In which year was the difference between the exports from Companies X and Y the minimum?

A.

1994

B.

1995

C.

1996

D.

1997

Correct answer is C

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.

53.

Study the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore)

Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?

A.

87.12%

B.

89.64%

C.

91.21%

D.

93.33%

Correct answer is D

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%.

54.

Study the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore)

For which of the following pairs of years are the total exports from the three Companies together equal?

A.

1995 and 1998

B.

1996 and 1998

C.

1997 and 1998

D.

1995 and 1996

Correct answer is D

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.