Line Charts Questions & Answers

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1.

In a school the periodical examination are 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 perodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.

Maximum Total Marks in each Periodical Exam = 500

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

A.

None

B.

June, 01

C.

Oct, 01

D.

Feb, 02

Correct answer is A

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.

2.

In a school the periodical examination are 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 perodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.

Maximum Total Marks in each Periodical Exam = 500

What are the average marks obtained by the student in all the periodical exams during the last session ?

A.

373

B.

379

C.

381

D.

385

Correct answer is C

Average marks obtained in all the periodical exams

= 1/6 x [360 + 365 + 370 + 385 + 400 + 405] = 380.83 ≈ 381.

3.

In a school the periodical examination are 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 perodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.

Maximum Total Marks in each Periodical Exam = 500

What is the percentage of marks obtained by the student in the periodical exams of August, 01 and Oct, 01 taken together ?

A.

73.25%

B.

75.5%

C.

77%

D.

78.75%

Correct answer is B

Required percentage = [ (370 + 385)/(500 + 500) x 100 ] % = ( 755/1000 x 100 ) % = 75.5%.

4.

In a school the periodical examination are 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 perodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.

Maximum Total Marks in each Periodical Exam = 500

The total number of marks obtained in Feb. 02 is what percent of the total marks obtained in April 01 ?

A.

110%

B.

112.5%

C.

115%

D.

116.5%

Correct answer is B

Here it is clear from the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.

Required percentage = ( 405/360 x 100 ) % = 112.5%

5.

In a school the periodical examination are 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 perodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.

Maximum Total Marks in each Periodical Exam = 500

In which periodical exams did the student obtain the highest percentage increase in marks over the previous periodical exams ?

A.

June, 01

B.

August, 01

C.

Oct, 01

D.

Dec, 01

Correct answer is C

Percentage increase in marks in various periodical exams compared to the previous exams are:

For Jun 01 = [ (365 - 360)/360 x 100 ] % = 1.39%.

For Aug 01 = [ (370 - 365)/365 x 100 ] % = 1.37%.

For Oct 01 = [ (385 - 370)/370 x 100 ] % = 4.05%.

For Dec 01 = [ (400 - 385)/385 x 100 ] % = 3.90%.

For Feb 02 = [ (404 - 400)/400 x 100 ] % = 1.25%.

Clearly, highest percentage increase in marks is in Oct 01.

6.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

Among the given years, the largest number of students joined the school in the year?

A.

1996

B.

1998

C.

2001

D.

2000

Correct answer is C

As calculated above, the largest number of students (i.e., 550) joined the school in the year 2001

7.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

During which of the following pair of years was the strength of the school same?

A.

1999 and 2001

B.

1998 and 2000

C.

1997 and 1998

D.

1996 and 2000

Correct answer is D

As calculated above, in the years 1996 and 2000 the strength of the school was same i.e., 3100.

8.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

The ratio of the least number of students who joined the school to the maximum number of students who left the school in any of the years during the given period is?

A.

7:9

B.

4:5

C.

3:4

D.

2:3

Correct answer is D

Required ratio = 300/450 = 2/3

9.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001?

A.

92.13%

B.

93.75%

C.

96.88%

D.

97.25%

Correct answer is B

Required percentage = ( 3000/3200 x 100 ) % = 93.75%

10.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

The strength of the school incresed/decreased from 1997 to 1998 by approximately what percent?

A.

1.2%

B.

1.7%

C.

2.1%

D.

2.4%

Correct answer is B

Important data noted from the given graph:

In 1996 : Number of students left = 250 and number of students joined = 350.

In 1997 : Number of students left = 450 and number of students joined = 300.

In 1998 : Number of students left = 400 and number of students joined = 450.

In 1999 : Number of students left = 350 and number of students joined = 500.

In 2000 : Number of students left = 450 and number of students joined = 400.

In 2001 : Number of students left = 450 and number of students joined = 550.

Therefore, the numbers of students studying in the school (i.e., strength of the school) in various years:

In 1995 = 3000 (given).

In 1996 = 3000 - 250 + 350 = 3100.

In 1997 = 3100 - 450 + 300 = 2950.

In 1998 = 2950 - 400 + 450 = 3000.

In 1999 = 3000 - 350 + 500 = 3150.

In 2000 = 3150 - 450 + 400 = 3100.

In 2001 = 3100 - 450 + 550 = 3200.

Percentage increase in the strength of the school from 1997 to 1998

= [ (3000 - 2950)/2950 x 100 ] % = 1.69% ≈ 1.7%.