**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

Answer & Explanation

**1. Answer**: (**4**)

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.

**3. Answer**: (**1**)

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

**4. Answer**: (**4**)

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

**5. Answer**: (**2**)

Required percentage = [(128000/ 78000) x 100]% » 164%