Data Interpretation questions and answers

Data Interpretation Questions and Answers

Data Interpretation questions test one's ability in analysing data, inspecting the elements in data and interpreting them to extract maximum information from the given set of data or information. The data is usually given in the form of charts, tables and graphs.

Practise with our Data Interpretation questions and answers to help you know what to expect, improve your speed and confidence and be really prepared for the actual test.

131.

Study the following table and answer the questions.

Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination.

If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue higher studies in Physics?

A.

27

B.

32

C.

34

D.

41

Correct answer is B

We have 60% of 50 = ( 60/100 x 50 ) = 30

Therefore Required number

= No. of students scoring 30 and above marks in Physics

= 32

132.

Study the following table and answer the questions.

Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination.

What is the difference between the number of students who passed with 30 as cut-off marks in Chemistry and those who passed with 30 as cut-off marks in aggregate?

A.

3

B.

4

C.

5

D.

6

Correct answer is D

Required difference

    = (No. of students scoring 30 and above marks in Chemistry)

       - (Number of students scoring 30 and above marks in aggregate)

    = 27 - 21

    = 6

133.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

What is the overall percentage of Tarun?

A.

52.5%

B.

55%

C.

60%

D.

63%

Correct answer is C

Aggregate marks obtained by Tarun

    = [ (65% of 150) + (35% of 130) + (50% of 120)

          + ((77% of 100) + (80% of 60) + (80% of 40) ]

    = [ 97.5 + 45.5 + 60 + 77 + 48 + 32 ]

    = 360.

The maximum marks (of all the six subjects)

    = (150 + 130 + 120 + 100 + 60 + 40)

    = 600.

Therefore Overall percentage of Tarun = ( 360/600 x 100 ) % = 60%.

134.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

In which subject is the overall percentage the best?

A.

Maths

B.

Chemistry

C.

Physics

D.

History

Correct answer is A

We shall find the overall percentage (for all the seven students) with respect to each subject.

The overall percentage for any subject is equal to the average of percentages obtained by all the seven students since the maximum marks for any subject is the same for all the students.

Therefore, overall percentage for:

(i) Maths = [ 1/7 x (90 + 100 + 90 + 80 + 80 + 70 + 65) ] % = [ 1/7 x (575) ] %  = 82.14%.

(ii) Chemistry = [ 1/7 x (50 + 80 + 60 + 65 + 65 + 75 + 35) ] %  = [ 1/7 x (430) ] %  = 61.43%.

(iii) Physics = [ 1/7 x (90 + 80 + 70 + 80 + 85 + 65 + 50) ] %  = [ 1/7 x (520) ] %  = 74.29%.

(iv) Geography = [ 1/7 x (60 + 40 + 70 + 80 + 95 + 85 + 77) ] %  = [ 1/7 x (507) ] %  = 72.43%.

(v) History = [ 1/7 x (70 + 80 + 90 + 60 + 50 + 40 + 80) ] %  = [ 1/7 x (470) ] %  = 67.14%.

(vi) Comp. Science = [ 1/7 x (80 + 70 + 70 + 60 + 90 + 60 + 80) ] %  = [ 1/7 x (510) ] %  = 72.86%.

Clearly, this percentage is highest for Maths.

135.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

What was the aggregate of marks obtained by Sajal in all the six subjects?

A.

409

B.

419

C.

429

D.

449

Correct answer is D

Aggregate marks obtained by Sajal

    = [ (90% of 150) + (60% of 130) + (70% of 120)

          + (70% of 100) + (90% of 60) + (70% of 40) ]

    = [ 135 + 78 + 84 + 70 + 54 + 28 ]

    = 449

136.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

The number of students who obtained 60% and above marks in all subjects is?

A.

1

B.

2

C.

3

D.

None

Correct answer is B

From the table it is clear that Sajal and Rohit have 60% or more marks in each of the six subjects.

137.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

What are the average marks obtained by all the seven students in Physics? (rounded off to two digits after decimal)

A.

77.26

B.

89.14

C.

91.37

D.

96.11

Correct answer is B

Average marks obtained in Physics by all the seven students

= 1/7 x [ (90% of 120) + (80% of 120) + (70% of 120) + (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120) ]

= 1/7 x [ (90 + 80 + 70 + 80 + 85 + 65 + 50)% of 120 ] 

= 1/7 x [ 520% of 120 ]

= 624/7

= 89.14

138.

Study the following table and answer the questions.

Number of Candidates Who Appeared and Qualified in a Competitive Examination from Different States Over the Years.

Combining the states P and Q together in 1998, what is the percentage of the candidates qualified to that of the candidate appeared?

A.

10.87%

B.

11.49%

C.

12.35%

D.

12.54%

Correct answer is C

Required percentage = [ (1020 + 1240)/(8800 + 9500) x 100 ] %

= [ 2260/18300 x 100 ] %

= 12.35%.

139.

Study the following table and answer the questions.

Number of Candidates Who Appeared and Qualified in a Competitive Examination from Different States Over the Years.

The percentage of total number of qualified candidates to the total number of appeared candidates among all the five states in 1999 is?

A.

11.49%

B.

11.84%

C.

12.21%

D.

12.57%

Correct answer is B

Required percentage = [ (850 + 920 + 890 + 980 + 1350)/(7400 + 8450 + 7800 + 8700 + 9800) x 100 ] %

= [ 4990/42150 x 100 ] %

= 11.84%.

140.

Study the following table and answer the questions.

Number of Candidates Who Appeared and Qualified in a Competitive Examination from Different States Over the Years.

What is the percentage of candidates who qualified from State N for all the years together, over the candidates who appeared from State N during all the years together?

A.

12.36%

B.

12.16%

C.

11.47%

D.

11.15%

Correct answer is D

Required percentage = [ (840 + 1050 + 920 + 980 + 1020)/(7500 + 9200 + 8450 + 9200 + 8800) x 100 ] %

= [ 4810/43150 x 100 ] %

= 11.15%