**Study the following line-graph and answer the question based on it.**

Number of vehicle Manufactured by Two Companies over the Years (Numbers in thousands)

Q.1) What is the difference between the total productions of the two Companies in the given years?

a) 19000

b) 22000

c) 26000

d) 28000

e) 29000

Q.2) What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001?

a) 50000

b) 42000

c) 33000

d) 21000

e) 13000

Q.3) What is the average number of vehicles manufactured by Company X over the given period? (rounded off to the nearest integer)

a) 119333

b) 113666

c) 112778

d) 111223

e) None of these

Q.4) In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years?

a) 1997

b) 1998

c) 1999

d) 2000

e) 2001

Q.5) The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year?

a) 173%

b) 164%

c) 132%

d) 97%

e) 61%

**Explanation:**

**1. (c) :** 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.

**2.(d) :** Require difference = 128000-107000 = 21000.

**3.(a) :** Average number of vehicles manufactured by Company X

= (91/6)* (119000 + 99000 + 141000 + 78000 + 120000 + 159000) = 119333.

**4.(d) :** The difference between the production of Companies X and Y in various years are.

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 2003 = (159000 – 148000) = 11000;

Clearly, maximum difference was in 2000.

**5.(b) :** Required percentage = [( 128000/78000)* 100] % = 164 %.