Introduction to Graphs Test

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Introduction to Graphs Test - 11

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Weekly Quiz Competition

Question 1
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In how many of the given years were the exports more than the imports ?

A
1

B
2

C
3

D
4

Solution

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.
Question 2
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The histogram shows the points scored by Reena's friends in a game. How many of her friends scored less than $$40$$ points?

A
$$20$$

B
$$31$$

C
$$15$$

D
$$10$$

Solution

On looking the graph, we would say the total score less than $$40 = 14 + 12 + 5 = 31$$
Question 3
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Directions For Questions

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

...view full instructions

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
$$111223$$

Solution

Average number of vehicles manufactured by Company X
$$\displaystyle =\frac { 1 }{ 6 } \times \left( 119000+99000+141000+78000+120000+159000 \right) $$
$$\displaystyle =119333$$
Question 4
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Directions For Questions

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

...view full instructions

If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was?

A
34700

B
32100

C
31500

D
Data inadequate

Solution

The total number of candidates qualified in 1996 and 1997 together, cannot be determined until we know at least, the number of candidates appeared in any one of the two years 1996 or 1997 or the percentage of candidates qualified to appeared in 1996 and 1997 together.
Hence, the data is inadequate.
Question 5
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Directions For Questions

The following line graph gives the percent profit earned by two Companies $$X$$ and $$Y$$ during the period $$1996 - 2001.$$

...view full instructions

If the expenditure of Company $$Y$$ in $$1997$$ was $$Rs. 220$$ crores, what was its income in $$1997$$ ?

A
$$Rs. 312$$ crores

B
$$Rs. 297$$ crores

C
$$Rs. 283$$ crores

D
$$Rs. 275$$ crores

Solution

Profit percent of Company $$Y$$ in $$1997 = 35.$$
Let the income of Company $$Y$$ in $$1997$$ be $$Rs. x$$ crores.
Then, $$\displaystyle 35=\frac { x-220 }{ 220 } \times 100\Rightarrow x=297$$
$$\displaystyle \therefore $$ Income of Company $$Y$$ in $$1997 = Rs. 297$$ crores.
Question 6
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Directions For Questions

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

...view full instructions

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

Solution

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.
Question 7
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Directions For Questions

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

...view full instructions

The difference between the percentage of candidates qualified to appeared was maximum in which of the following pairs of years?

A
1994 and 1995

B
1997 and 1998

C
1998 and 1999

D
1999 and 2000

Solution

The differences between the percentages of candidates qualified to appeared for the give pairs of years are:
For 1994 and 1995 = 50 - 30 = 20.
For 1998 and 1999 = 80 - 80 = 0.
For 1994 and 1997 = 50 - 30 = 20.
For 1997 and 1998 = 80 - 50 = 30.
For 1999 and 2000 = 80 - 60 = 20.
Thus, the maximum difference is between the years 1997 and 1998.
Question 8
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Directions For Questions

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

...view full instructions

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

Solution

No. of vehicles manufactured by company Y in $$2000 = 128000$$
No. of vehicles manufactured by company Y in $$2001 = 107000$$
Required difference = (128000 - 107000) = 21000.
Question 9
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Directions For Questions

In a school, the periodical examination is held every second month. In a session during April 2001 - March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below.

...view full instructions

In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?

A
None

B
June, 01

C
Oct, 01

D
Feb, 02

Solution

As is clear from the graph, the total marks obtained in periodical exams, go on increasing. Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.
Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.
Question 10
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Directions For Questions

The following line graph gives the annual percent profit earned by a Company during the period $$1995 - 2000.$$

...view full instructions

If the profit in 1999 was Rs. 4 crores, what was the profit in 2000?

A
Rs. 4.2 crores

B
Rs. 6.6 crores

C
Rs. 6.8 crores

D
Cannot be determined

Solution

From the line-graph we obtain information about the percentage profit only. To find the profit in 2000 we must have the data for the income or expenditure in 2000.
Therefore, the profit for 2000 cannot be determined.