Daily Numerical Ability Quiz : 13th September 2018

The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.

             Ratio of Value of Imports to Exports by a Company Over the Years.

1.If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was ?

A. Rs. 250 crores       

B. Rs. 300 crores         

C. Rs. 357 crores       

D. Rs. 420 crores

E. Rs. 450 crores

2. The imports were minimum proportionate to the exports of the company in the year ?

A. 1995                     

B. 1996                     

C. 1997                     

D. 2000

E. 1998

3. What was the percentage increase in imports from 1997 to 1998 ?

A. 72                       

B. 56                         

C. 28               

D. Data Inadequate

E. 30

4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

 A. Rs. 370 crores     

B. Rs. 320 crores       

C. Rs. 280 crores   

D. Rs. 275 crores

E. Rs. 300 crores

5. In how many of the given years were the exports more than the imports ?

A. 1                       

B. 2                     

C. 3                     

D. 4

E. 5

Study the following line graph and answer the questions based on it.

Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)

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

A. 50000         

B. 42000           

C. 33000             

D. 21000

E. 31000

7. 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. 25000

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

A. 119333       

B. 113666       

C. 112778             

D. 111223

E. 111446

9. 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. 2002

10. 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. 99

Answers 

1. D

 The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.Let the exports in the year 1998 = Rs. x crores.

Then, the exports in the year 1999 = Rs. (500 - x) crores.

1.25 = 250/x 

x = 250/1.25 = 200        [ Using ratio for 1998 ]

Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.

Let the imports in the year 1999 = Rs. y crores.

Then, 40 = y/300 

y = (300 * 1.40) = 420

Imports in the year 1999 = Rs. 420 crores.

2. C

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.

Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

3. D

 The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years.

Hence, the data is inadequate to answer this question.

4. B

 Ratio of imports to exports in the year 1996 = 0.85.

 Let the exports in 1996 = Rs. x crores.

Then , 272/x = 0.85 

x = 272/0.85 = 320                   

Exports in 1996 = Rs. 320 crores.

5.  D

The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.

Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.

Thus, there are four such years.

6.  D

 Required difference = (128000 - 107000) = 21000.

7.  C

 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.

8. A

  Average number of vehicles manufactured by Company X

= 119333.

9. D

The difference between the productions 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 2002 (159000 - 148000) = 11000.

Clearly, maximum difference was in 2000.

10.   B

 Explanation  - Required percentage=  128/78 * 100 = 164%  = 164%