# Line Diagram 30

Directions (1 – 5): Study the following line graph and answer the questions based on it.
Number of Vehicles Manufactured by Two companies over the Years (Number in Thousands)

Q1. What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001?

(1)  50, 000

(2) 42, 000

(3)  33, 000

(4) 21, 000

(5) None of these

Q2. What is the difference between the total productions of the two Companies in the given years ?

(1) 19, 000

(2) 22, 000

(3) 26, 000

(4) 28, 000

(5) None of these

Q3. What is the average numbers of vehicles manufactured by Company X over the given period? (Rounded off to nearest integer)

(1)  1, 19, 333

(2) 1, 13, 666

(3) 1, 12, 778

(4) 1, 11, 223

(5) None of these

Q4. In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years?

(1) 1997

(2) 1998

(3) 1999

(4) 2000

(5) None of these

Q5. The    production of Company Y in 2000 was approximately what percent of the production of Company X in the same year?

(1) 173

(2) 164

(3) 132

(4)  97

(5) None of these

Required difference = (128000 – 107000) = 21000.

2. Answer  (3) : 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.

Average number of vehicles manufactured by Company X =1/6 *(119000 + 99000 + 141000 + 78000 + 120000 + 159000 =119333.

The difference between the productions of Companies X and Y in various years is:

For 1997 (139000 – 119000) = 20000.

For 1998 (120000 – 99000) = 21000.

For 1999 (141000 – 100000) = 41000.

For 2000 (128000 – 78000) = 50000.

For 2001 (120000 – 107000) = 13000.

For 2002 (159000 – 148000) = 11000.

Clearly, maximum difference was in 2000