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.

111.

The following table shows the number of new employees added to different categories of employees in a company and also the number of employees from these categories who left the company every year since the foundation of the Company in 1995.

What is the difference between the total number of Technicians added to the Company and the total number of Accountants added to the Company during the years 1996 to 2000?

A.

128

B.

112

C.

96

D.

88

Correct answer is D

Required difference

    = (272 + 240 + 236 + 256 + 288) - (200 + 224 + 248 + 272 + 260)

    = 88

112.

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

Which section has the minimum failure rate in half yearly examination?

A.

Section A

B.

Section B

C.

Section C

D.

Section D

Correct answer is D

Total number of failures in half-yearly exams in a section

= [ (Number of students who failed in both exams) + (Number of students who failed in half-yearly but passed in Annual exams) ] in that section

Therefore Failure rate in half-yearly exams in Section A

= [ Number of students of Section A who failed in half-yearly/Total number of students in Section A x 100 ] %

= [ (28 + 14)/(28 + 14 + 6 + 64) x 100 ] % = [ 42/112 x 100 ] % = 37.5%

Similarly, failure rate in half-yearly exams in:

Section B [ (23 + 12)/(23 + 12 + 17 + 55) x 100 ] % = [ 35/107 x 100 ] % = 32.71%

Section C [ (17 + 8)/(17 + 8 + 9 + 46) x 100 ] % = [ 25/80 x 100 ] % = 31.25%

Section D [ (27 + 13)/(27 + 13 + 15 + 76) x 100 ] % = [ 40/131 x 100 ] % = 30.53%

Clearly, the failure rate is minimum for Section D.

113.

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

Which section has the maximum success rate in annual examination?

A.

Section A

B.

Section B

C.

Section C

D.

Section D

Correct answer is A

Total number of students who passed in annual exams in a section

= [ (No. of students who failed in half-yearly but passed in annual exams) + (No. of students who passed in both exams) ] in that section

Therefore Success rate in annual exams in Section A

= [ No. of students of Section A who passed in annual exams/Total number of students in Section A x 100 ] %

= [ (14 + 64)/(28 + 14 + 6 + 64) x 100 ] %

= [ 78/112 x 100 ] %

= 69.64%.

Similarly, success rate in annual exams in:

Section B [ (12 + 55)/(23 + 12 + 17 + 55) x 100 ] % = [ 67/107 x 100 ] % = 62.62%.

Section C [ (8 + 46)/(17 + 8 + 9 + 46) x 100 ] % = [ 54/80 x 100 ] % = 67.5%

Section D [ (13 + 76)/(27 + 13 + 15 + 76) x 100 ] % = [ 89/131 x 100 ] % = 67.94%

Clearly, the success rate in annual examination is maximum for Section A

114.

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

Which section has the maximum pass percentage in at least one of the two examinations?

A.

Section A

B.

Section B

C.

Section C

D.

Section D

Correct answer is D

Pass percentages in at least one of the two examinations for different sections are:

For Section A [ (14 + 6 + 64)/(28 + 14 + 6 + 64) x 100 ] % = [ 84/112 x 100 ] % = 75%

For Section B [ (12 + 17 + 55)/(23 + 12 + 17 + 55) x 100 ] % = [ 84/107 x 100 ] % = 78.5%

For Section C [ (8 + 9 + 46)/(17 + 8 + 9 + 46) x 100 ] % = [ 63/80 x 100 ] % = 78.75%

For Section D [ (13 + 15 + 76)/(27 + 13 + 15 + 76) x 100 ] % = [ 104/131 x 100 ] % = 79.39%

Clearly, the pass percentage is maximum for Section D.

115.

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

How many students are there in Class IX in the school?

A.

336

B.

189

C.

335

D.

430

Correct answer is D

Since the classification of the students on the basis of their results and sections form independent groups, so the total number of students in the class:

= (28 + 23 + 17 + 27 + 14 + 12 + 8 + 13 + 6 + 17 + 9 + 15 + 64 + 55 + 46 + 76)

= 430

116.

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

If the number of students passing an examination is to be considered a criteria for comparision of difficulty level of two examinations, which of the following statements is true in this context?

A.

Half yearly examinations were more difficult.

B.

Annual examinations were more difficult.

C.

Both the examinations had almost the same difficulty level.

D.

The two examinations cannot be compared for difficulty level.

Correct answer is C

Number of students who passed half-yearly exams in the school

  = (Number of students passed in half-yearly but failed in annual exams)

      + (Number of students passed in both exams)

  = (6 + 17 + 9 + 15) + (64 + 55 + 46 + 76)

  = 288.

Also, Number of students who passed annual exams in the school

  = (Number of students failed in half-yearly but passed in annual exams)

      + (Number of students passed in both exams)

  = (14 + 12 + 8 + 13) + (64 + 55 + 46 + 76)

  = 288.

Since, the number of students passed in half-yearly = the number of students passed in annual exams. Therefore, it can be inferred that both the examinations had almost the same difficulty level.

Thus Statements (a), (b) and (d) are false and Statement (c) is true.

117.

The following table gives the sales of batteries manufactured by a company over the years.

Number of Different Types of Batteries Sold by a Company Over the Years (Numbers in Thousands)

In case of which battery was there a continuous decrease in sales from 1992 to 1997?

A.

4AH

B.

7AH

C.

32AH

D.

35AH

Correct answer is B

From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997

118.

The following table gives the sales of batteries manufactured by a company over the years.

Number of Different Types of Batteries Sold by a Company Over the Years (Numbers in Thousands)

The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year?

A.

1994

B.

1995

C.

1996

D.

1997

Correct answer is D

The percentages of sales of 4AH batteries to the total sales in different years are:

For 1992 = ( 75/543 x 100 ) % = 13.81%

For 1993 = ( 90/528 x 100 ) % = 17.05%

For 1994 = ( 96/525 x 100 ) % = 18.29%

For 1995 = ( 105/510 x 100 ) % = 20.59%

For 1996 = ( 96/465 x 100 ) % = 19.35%

For 1997 = ( 105/495 x 100 ) % = 21.21%

For 1998 = ( 115/605 x 100 ) % = 19.01%

Clearly, the percentage is maximum in 1997.

119.

The following table gives the sales of batteries manufactured by a company over the years.

Number of Different Types of Batteries Sold by a Company Over the Years (Numbers in Thousands)

What is the difference in the number of 35AH batteries sold in 1993 and 1997?

A.

24000

B.

28000

C.

35000

D.

39000

Correct answer is D

Required difference = [(84 - 45) x 1000] = 39000

120.

The following table gives the sales of batteries manufactured by a company over the years.

Number of Different Types of Batteries Sold by a Company Over the Years (Numbers in Thousands)

The total sales of all the seven years is the maximum for which battery?

A.

4AH

B.

7AH

C.

32AH

D.

35AH

Correct answer is C

The total sales (in thousands) of all the seven years for various batteries are:

For 4AH = 75 + 90 + 96 + 105 + 90 + 105 + 115 = 676

For 7AH = 144 + 126 + 114 + 90 + 75 + 60 + 85 = 694

For 32AH = 114 + 102 + 75 + 150 + 135 + 165 + 160 = 901

For 35AH = 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601

For 55AH = 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799.

Clearly, sales are maximum in case of 32AH batteries.