Data Interpretation Syllabus and Study Material

Data Interpretation bears the closest resemblance to the kind of problems that you as a manager would be tackling in your professional career. Data Interpretation has no particular syllabus. In Data Interpretation tests the questions will test your speed, decision making capability and analysing data. The questions consists of a graphs, charts and tables from which you will have to analyse data. Quickly identify the key pieces of data that you will require to work on the questions asked is the key to crack the problem.

Data represented in the form of a table is quite time consuming to analyses such as trends, problem areas, percentage distribution. Graphs on the other hand represent the same data visually and we can easily see the trends and distribution. Even problem areas are easy to identify by looking at the deviation from the trends. Representing data in the form of caselets is quite uncommon, however, it is very popular with car examiners. In this case, date is hidden between paragraphs and you have to unearth the data as you go on reading the paragraph. This is probably the worst case of data representation when it comes to analyzing and drawing conclusions out of it.

Data Sufficiency problems usually take the form of a logical puzzle, and are in the form of a question followed by two statements. The key to answering such problems is to pretend like one statement does not exist, try solving the problem, and then pretend like the other statement does not exist and try solving the problem again. These problems are generally tricky, and I would recommend lots of practice and perhaps solving them near the end of your section, after you have solved the other problems.

Some tips to score better in the Data Interpretation section:

1. Read the Question in parts: Most Data Interpretation questions will consist of a bunch of statistics, numbers & diagrams that might look scary, but are actually not at all difficult to solve. In fact the trend has been: the scarier a DI set/caselet looks, the easier it is to solve.

2. Improve your Calculation Skills/Speed: The Date Interpretation section is calculation-intensive. Such calculations can eat up your time. Learn shortcuts that will help you calculate fast.

3. Get familiar with all types of Data Interpretation questions: There will be bar charts, tables, pie charts etc. There will also be questions where a lot of text/information will be provided in 1 long paragraph.

4. Practice, practice, practice: With a very good amount of practice your speed and confidence will increase considerably.

Table Chart
Tabular method is the most fundamental way of representing data. In fact, most of the different kinds of data presentation formats like the bar charts, line charts etc. originate from the table. In other words, presenting the data in a tabular format is the first step in forming other types of data presentation formats.

Click here to view Table Chart Study Material and Important Questions

Graphs
While tables express actual numbers, graphs are a diagrammatic representation of data. They bring out the relationship between data more clearly than numbers in a table. Graphs are far better to understand changes in variables - whether a particular value has risen or fallen over the past few years and hence analyze the trends.

Pie Charts
They always represent data in the form of a percentage of the total, with the total percentage being 100. In such a chart, the length of the arc (and therefore the angle each sector subtends at the centre) is proportional to the quantity it represents. Such charts are often used in the corporate world and in newspapers. Since a circle comprises 360 degrees, each percent of a pie-chart is equal to 360 divided by 100, or 3.6 degrees. This fact will be important for the calculations you are expected to perform.

Click here to view Pie Chart Study Material and Important Questions

Bar Graphs
Bar graphs represent data in the form of columns or bars. Bar graphs can be horizontal or vertical. The length of the bar is proportional to the data value represented by it.

Click here to view Bar Chart Study Material and Important Questions

Line Graphs
Line graph represents data in the form of straight lines that connect various data values. Both line graphs and bar graphs are used to convey same things and hence can be used inter-changeably. For example, a line graph can be generated by joining the tip of the bar graph.

Click here to view Line Graph Study Material and Important Questions

Caselets
In caselets, the mathematical data is represented in the form of a paragraph. Hence extracting data and establishing relationships between different data values becomes difficult. However caselets are very popular with the CAT examiners.

Combined Data Sets
Data is represented in two or more different types of data sets. It could be combination of a table and a graph or two or more graphs. You may have to correlate the data in different data sets to solve these questions.

NOTE
Data Interpretation questions typically have large amounts of data given in the form of tables, pie-charts, line graphs or some non-conventional data representation format. The questions are calculation heavy and typically test your approximation abilities. A very large number of these questions check your ability to compare or calculate fractions and percentages. If you sit down to actually calculate the answer, you would end up spending more time than required. Here are few ideas that you can use for approximation.

A Summary of Strategies for Charts, Tables, and Graphs

Examine the entire graph, noticing labels and headings.
Focus on the information given.
Look for major changes—high points, low points, and trends.
Don’t memorize the chart, table, or graph; refer to it.
Skimming questions can be helpful.
Circle or underline important words in the question.
Pay special attention to which part of the chart, table, or graph the question is referring to.
If you don’t understand the graph, reread the labels and headings.
Don’t get stuck on any one question!

Data Interpretation Questions from previous year exams

Data Analysis & Interpretation

Question 1 of 50

1. Question
1 points
(Q. Nos. 2-5) Study the following graph carefully to answer the questions that follow.

Cost of three different fruits (in rupees per kg) in five different cities

Cost of 1 kg of guava in Jalandhar is approximately what per cent of the cost of 2 kg of grapes in Chandigarh?
- 66
- 24
- 28
- 34
- 58
Correct

Incorrect

Cost of 1 kg guava in Jalandhar = Rs 60

and cost of 2kg grapes in Chandigarh= $2\times 90 = Rs 180$
.'. Required percentage = $\frac{60}{180}\times 100=33.33$ % = 34%
Question 2 of 50

2. Question
1 points
Cost of three different fruits (in rupees per kg) in five different cities

What total amount will Ram pay to the shopkeeper for purchasing 3 kg, of apples and 2 kg of guavas in Delhi?
- 530
- 450
- 570
- 620
- 490
Correct

Incorrect

Cost of 3 kg apples in Delhi = $3\times 130=390$

Cost of 2 kg guava in Delhi = $2\times 90=180$

.'. Total amount pay by Ram = (390 + 180) = Rs 570
Question 3 of 50

3. Question
1 points
Cost of three different fruits (in rupees per kg) in five different cities

Ravinder had to purchase 45 kg of grapes from Hoshiarpur. Shopkeeper gave him discount of 4o/o per kg. What amount did he pay to the shopkeeper after the discount?
- 8208
- 8104
- 8340
- 8550
- 8410
Correct

Incorrect

Cost of 1 kg grapes in Hoshiarpur = Rs 190

.'. Cost of 45 kg of grapes = $190\times 45 = 8550$

.'.Discount= $8550 \times \frac{4}{10} =1342$

.'. Amount Pay to shopkeeper = 8550 - 342 = Rs 8208
Question 4 of 50

4. Question
1 points
Cost of three different fruits (in rupees per kg) in five different cities

What is the respective ratio between the cost of 1 kg of apples from Ropar and the cost of .1 kg of grapes from Chandigarh?
- 3:2
- 2:3
- 4:9
- 16:81
- 81:16
Correct

Incorrect

Cost of 1 kg apple in Ropar = Rs 40

Cost of 1 kg grapes in Chandigarh = Rs 90

.'. Required ratio= $\frac{40}{90}=\frac{4}{9}=\frac{2^{2}}{3^{3}}=2^{2}:3^{3}$
Question 5 of 50

5. Question
1 points
Number of students (in thousand) in two different universities in six different years

Number of students

What was the difference between the number of students in university 1 in the year 2010 and the number of students in university 2 in the year 2012?
- 0
- 5000
- 15000
- 10000
- 1000
Correct

Incorrect

Number of students in university 1 in 2010 = 20000

number of students in university 2 in 2072 = 20000

.'. Required difference = 20000 - 20000 = 0
Question 6 of 50

6. Question
1 points
Number of students (in thousand) in two different

universities in six different years

Number of students

lf 25% of the students in university 2 in the year 2010 were females, what was the number of male students in the university 2 in the same year?
- 11250
- 12350
- 12500
- 11500
- 11750
Correct

Incorrect

Total students in university 2i n 2010 = 15000

.'. Number of girls = $15000 \times �\frac{25}{100}=3750$

and number of boys = 15000 - 3750= 11250
Question 7 of 50

7. Question
1 points
Number of students (in thousand) in two different

universities in six different years

Number of students

What was the per cent increase in the number of students in university 1 in the year 2011 as compared to the previous year?
- 135
- 15
- 115
- 25
- 35
Correct

Incorrect

Number of students in university 1 in 2011 = 25000

and number of students in university 1 in 2010 = 20000

Required percentage = $\frac{ 25000 - 20000}{20000} \times 100=25$ %
Question 8 of 50

8. Question
1 points
Number of students (in thousand) in two different

universities in six different years

Number of students

ln which year was the difference between the number of students in university 1 and the number of students in university 2 highest?
- 2008
- 2009
- 2010
- 2011
- 2012
Correct

Incorrect

Difference between the students of university 1 and university 2 in 2007 = 20000 - 10000 = 10000

Difference in number of students in 2008 = 25000 - 15000 = 10000

Difference in number of students in 2009 = 35000 - 25000 = 10000

Difference in number of students in 2010 = 20000 - 15000 = 5000

Difference in number of students in 2011 = 30000 - 25000 = 5000

Difference in number of students in 2072 = 35000 - 20000 = 15000

It is clear from above that the difference between the number of students in university 1 and the number of students in university 2 is highest in the year 2012.
Question 9 of 50

9. Question
1 points
Number of players participating in three different games in five different schools

What is the total number of players participating in hockey from all the five schools together ?
- 324
- 288
- 342
- 284
- 248
Correct

Incorrect

From graph, the total number of players participating in hockey

= 68 + 80 + 54 + 50 + 36 = 288
Question 10 of 50

10. Question
1 points
Number of players participating in three different games in five different schools

What is the respective ratio between number of players participating in basketball from school 1 and the number of players participating in Kho-Kho from school 3?
- 5:7
- 7:9
- 7:8
- 9:7
- 5:8
Correct

Incorrect

Number of players participating in basketball from school 1= 42

and number of players participating in kho-kho from school 3=48

.'. Required ratio = $\frac{42}{48}=\frac{21}{24}=7:8$
Question 11 of 50

11. Question
1 points
Number of players participating in three different games in five different schools

ln which school is the number of players participating in hockey and basketball together second highest?
- School 1
- School 2
- School 3
- School 4
- School 5
Correct

Incorrect

Number of players participating in hockey and basketball from school 7 = 74 + 42 = 176

Number of players from school 2 = 80 + 34 = 174

Number of players from school 3 = 54 + 28 = 82

Number of players from school 4 = 50 + 60 = 110

Number of players from school 5 = 36 + 82 = 118

It is clear from above that the number of players participating in hockey and basketball together second highest is in school 1.
Question 12 of 50

12. Question
1 points
Number of players participating in three different games in five different schools

Number of players participating in Kho-Kho from school 4 is what percent of number of players participating in hockey from school 2?
- 42
- 48
- 36
- 40
- 60
Correct

Incorrect
Question 13 of 50

13. Question
1 points
Number of players participating in three different games in five different schools

25% of the number of the players participating in hockey from schools are females. What is the number of the hockey players who are males in School 5?
- 15
- 18
- 30
- 21
- 27
Correct

Incorrect

Number of school 5 = 36

Now, number of female players = $36\times \frac{25}{ 100}=9$

.'. Number of male players = 36 - 9 = 27
Question 14 of 50

14. Question
1 points
Earnings (in Rs ) of three different persons on four different days

What is Gita's average earnings over all the days together?
- 285
- 290
- 320
- 310
- 315
Correct

Incorrect

Average earnings of Geeta

$\frac{400+420+200+140}{4}=290$
Question 15 of 50

15. Question
1 points
Earnings (in Rs ) of three different persons on four different days

What is the total amount earned by Rahul and Naveen together on Tuesday and Thursday together?
- 1040
- 1020
- 980
- 940
- 860
Correct

Incorrect

The sum of earnings of Rahul and Naveen on Tuesday and Thursday

= 180 + 260 + 34O+ 160= Rs 940
Question 16 of 50

16. Question
1 points
Earnings (in Rs ) of three different person on four different days

Gita donated her earnings of Wednesday to Naveen' What was Naveen's total earnings on Wednesday after Gita's donation?
- 520
- 550
- 540
- 560
- 620
Correct

Incorrect

Total earning of Naveen on Wednesday, if Geeta donated her earning to him = 120 + 420 = Rs 540
Question 17 of 50

17. Question
1 points
Earnings (in Rs ) of three different person on four different days

What is the difference between Rahul's earnings on Monday and Gita's earnings on Tuesday?
- 40
- 20
- 50
- 30
- 10
Correct

Incorrect

Rahul's earning on Monday = Rs 240

Geeta's earning on Tuesday = Rs 200

.'. Required difference = 240 - 200 = Rs 40
Question 18 of 50

18. Question
1 points
Earnings (in Rs ) of three different persons on four different days

What is the respective ratio between Naveen's earnings on Monday, Wednesday and Thursday?
- 7 : 3 : 5
- 8 : 6 : 5
- 8 : 7 : 4
- 9 : 5 : 4
- 9 : 3 : 4
Correct

Incorrect

Naveen's earning on Monday = Rs 360

Naveen's earning on Wednesday = Rs 120

Naveen's earning on Thursday = Rs 160

.'.Required ratio = 360 : 120 : 160= 9 : 3 : 4
Question 19 of 50

19. Question
1 points
(Q. Nos. 21-25) Study the following pie chart and answer the following questions.

Percentage-wise distribution of employees in six different professions

Total number of employee = 26800

What is the difference between the total number of employees in teaching and medical profession together and the number of employees in management profession?
- 6770
- 7700
- 6700
- 7770
- 7670
Correct

Incorrect

Employees in teaching = $26800\times \frac{15}{100}=4020$

Employees in medical = $26800\times \frac{27}{100}= 7236$

and employees in management= $26800\times \frac{17}{100}= 4556$

As per the question, Total employees in teaching and medical = 4020 + 7236 = 11256

Now, difference between total employees in teaching and medical and total employees in management = 11256 - 4556 = 6700
Question 20 of 50

20. Question
1 points
Percentage-wise distribution of employees in six different professions

Total number of employee = 26800

ln management profession three-fourth of the number of employees are female. What is the number of male employees in management profession?
- 1239
- 1143
- 1156
- 1289
- 1139
Correct

Incorrect

Total employees in management = $26800\times \frac{17}{100}= 4556$

.'. Female employees = $4556\times \frac{3}{4}=3417$

.'. Male employees = 4556 - 3477 = 1139
Question 21 of 50

21. Question
1 points
Percentage-wise distribution of employees in six different professions

Total number of employee = 26800

25% of employees from film production profession went on a strike. What is the number of employees from film production who have not participated in the strike?
- 3271
- 3819
- 3948
- 1273
- 1246
Correct

Incorrect

Total employees in film production = $26800\times\frac{19}{100}=5092$

Number of employees went on strike = $5092\times\frac{25}{100}=1273$

Number of employees not go to strike 5092 - 1273= 3819
Question 22 of 50

22. Question
1 points
Percentage-wise distribution of employees in six different professions

Total number of employee = 26800

What is the total number of employees in engineering profession and industries together?
- 5698
- 5584
- 5687
- 5896
- 5487
Correct

Incorrect

Total employees in engineering = $26800\times\frac{ 9}{100} =2412$

Total employees in industries = $26800\times\frac{13}{100}=3484$

.'. Total employees in engineering and industries = 2412 + 3484 = 5896
Question 23 of 50

23. Question
1 points
Percentage-wise distribution of employees in six different professions

Total number of employee = 26800

ln teaching profession if three-fifth of the teachers are not permanent, what is the number of permanent teachers in the teaching profession?
- 1608
- 1640
- 1764
- 1704
- 1686
Correct

Incorrect

Total number of teachers $=26800\times\frac{15}{100}=4020$

Number of temporary teachers $=4020\times\frac{3}{5}=2412$

.'. Number of permanent teachers = 4020 - 2412= 1608
Question 24 of 50

24. Question
1 points
Study the following table carefully and answer the questions that follows.

Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

Distance between which two stations is second lowest?
- Nadiad Jn to Ahmedabad
- Anand Jn. to Nadiad Jn
- Dadar to Vasai Road
- Anand Jn. to Vadodara
- Vasai Road to Surat
Correct

Incorrect

lt is clear from the given table that distance between Anand Jn. to Vadodara is second lowest'
Question 25 of 50

25. Question
1 points
Study the table carefully to o answer the questions that follow.

Maximum and minimum temperature (in degree Celsius) recorded on 1 " day of each month of five different Cities

ln which month respectively the maximum temperature of Kabul is second highest and minimum temperature oi SydneY is highest?
- 1 st October and 1 st January
- 1st October and 1st November
- 1 st December and 1 st January
- 1st SePtember and 1st January
- 1st December and 1st September
Correct

Incorrect

lt is clear from given table that on 1st October, - temperature of Kabul is second highest and on 1st Novlmber, temPerature of Sydney is the highest
Question 26 of 50

26. Question
1 points
(Q. No: 41-45) Carefully to answer the questions that follow.

Pie-chart showing percentage wise distribution of cars in four different states

Table showing ratio between diesel and petrol engine cars which are distributed among four different states

States Diesels Engine Cars Petrol Engine Cars

States 1 3 4

States 2 5 9

States 3 5 3

States 4 1 1

What is the difference between the number of diesel engine cars in state 2 and the number of petrol engine cars in state 4?
- 159
- 21
- 28
- 34
- 161
Correct

Incorrect

Total number of cars in state 2 $\frac{28}{100}\times 700=196$

Now, number of diesel engine cars in state 2 $196\times \frac{5}{\left ( 5+9 \right )}=70$

Total number of cars in state 4= $700\times \frac{26}{100}=182$

Now, number of petrol engine cars in state 4= $181\times \frac{1}{\left ( 1+1 \right )}=91$

.'. Required difference = 97 - 70 = 21
Question 27 of 50

27. Question
1 points
A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, what is the probability that none is yellow?
- 5/2
- 7/22
- 7/33
- 7/ 66
Correct

Total balls in the bags

= 7 blue + 5 yellow

= 12 Balls

Number way to choose 2 balls out of 12 = $^{12}c_{2}$

= $\frac{12!}{2!10!}=\frac{12\times 11}{1\times 2} =21$

Now out of two balls, ways yellow colours not come

= $^{7}c_{2}$ = $\frac{7!}{2!5!}=\frac{7\times 6}{1\times 2} =21$

$\therefore$ Required Probability = $\frac{21}{66} =\frac{7}{22}$

Incorrect

Total balls in the bags

= 7 blue + 5 yellow

= 12 Balls

Number way to choose 2 balls out of 12 = $^{12}c_{2}$

= $\frac{12!}{2!10!}=\frac{12\times 11}{1\times 2} =21$

Now out of two balls, ways yellow colours not come

= $^{7}c_{2}$ = $\frac{7!}{2!5!}=\frac{7\times 6}{1\times 2} =21$

$\therefore$ Required Probability = $\frac{21}{66} =\frac{7}{22}$
Question 28 of 50

28. Question
1 points
Study the following table carefully and answer the questions that follows.

Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

What is the distance travelled by the train from Surat to Nadiad Jn.?
- 176 km
- 188 km
- 183 km
- 193 km
- 159 km
Correct

Incorrect

Distance travelled by train from Surat to Nadiad function = 440 - 257 = 183 km
Question 29 of 50

29. Question
1 points
Study the table carefully to answer the question that follows.

Monthly Bill (in Rs) of landline phone, electricity, laundry and mobile phone paid by three different people in five different months

What is the respective ratio between the electricity bill paid by Manu in the month of April and the mobile phone bill paid by Ravi in the month of June?
- 27 : 49
- 27 : 65
- 34 : 49
- 135: 184
- 13 : 24
Correct

Incorrect

Electricity bill paid by Manu in April = Rs 135

Mobile bill paid by Ravi in June = Rs 245

.'. Required ratio = 735: 245= 27 : 49
Question 30 of 50

30. Question
1 points
Study the table carefully to answer the question that follows.

Monthly Bill (in Rs) of landline phone, electricity, laundry and mobile phone paid by three different people in five different months

ln which months respectively did Manu pay the second highest mobile phone bill and the lowest electricity bill?
- April and June
- April and May
- March and June
- March and May
- July and May
Correct

Incorrect

From the given table, it is clear that April and May months respectively, Manu pay the second highest mobile phone bill and the lowest electricity bill.
Question 31 of 50

31. Question
1 points
Study the table carefully to answer the question that follows.

Monthly Bill (in Rs) of landline phone, electricity, laundry and mobile phone paid by three different people in five different months

What is the difference between the mobile phone bill paid by Ravi in the month of May and the'laundry bill paid by Dev in the month of March?
- 180
- 176
- 190
- 167
- 196
Correct

Incorrect

The mobile bill paid by Ravi in the month of May =Rs 143

and the laundry bill paid by Dev in the month of March = Rs 323

.'. Required difference = 323 - 143 = Rs 180
Question 32 of 50

32. Question
1 points
Study the table carefully to answer the question that follows.

Monthly Bill (in Rs) of landline phone, electricity, laundry and mobile phone paid by three different people in five different months

What is the average electricity bill paid by Manu over all the five months together?
- 183
- 149
- 159
- 178
- 164
Correct

Incorrect

The average electriciry bill paid by Manu over all the five months together

$\frac{315+135+98+116+131}{5}=\frac{795}{5}=159$
Question 33 of 50

33. Question
1 points
Study the table carefully to answer the question that follows.

Monthly Bill (in Rs) of land line phone, electricity, laundry and mobile phone paid by three different people in five different months

What is the total amount of bill paid by Dev in the month of June for all the four commodities?
- 608
- 763
- 731
- 683
- 674
Correct

Incorrect

Total amount paid by Dev for all the four commodities in the month of June
= 123 + 150 + 324 + 134 = 731
Question 34 of 50

34. Question
1 points
Study the following table carefully and answer the questions that follows.

Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

How much time does the train take to reach Ahmedabad after departing from Anand Jn. (including the halt time)?
- 1 h 59 min
- 1 h 17 min
- 1 h 47 min
- 1 h 45 min
- 1 h 15 min
Correct

Incorrect

Time taken by train = 8: 00 - 6:45 = 1:15= 1 h 15 min
Question 35 of 50

35. Question
1 points
Study the following table carefully and answer the questions that follows.

Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

What is the respective ratio between the number of passengers boarding from Vasai Road and from Ahmedabad in the train?
- 21 : 17
- 13: 9
- 21 : 19
- 15: 13
- 13 : 15
Correct

Incorrect

Number of passengers boarding from Vasai Road = 378

Number of passengers boarding from Ahmedabad = 306

.'. Required ratio = 378 : 306 = 21 :17
Question 36 of 50

36. Question
1 points
Study the following table carefully and answer the questions that follows.

Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

lf halt time (stopping time) of the train at Vadodara is decreased by 2 min and increased by 23 min-at Ahmedabad. At what time will the train reach Bhuj?
- 6:10 am
- 6:01 pm
- 6:05am
- 6:50 pm
- 6:07 pm
Correct

Incorrect

Total halt time = 23 - 2 = 2 min

.'. Train time of reaching Bhuj =5:40 Pm + 21 min=6:01 Pm
Question 37 of 50

37. Question
1 points
Study the table carefully to o answer the questions that follow.

Maximum and minimum temperature (in degree Celsius) recorded on 1 " day of each month of five different Cities

What is the difference between the maximum temperature of Ontario on 1st November and the minimum temperature of Bhujon 1st January?
- 3 C
- 18 C
- 15 C
- 9 C
- 11 C
Correct

Incorrect

Maximum temperature of Ontario on 1st November = 4 C

and minimum temperature of Bhuj on 1st January = -7"C

.'.Required difference = 4- (-7)= 4+7 = 11 C
Question 38 of 50

38. Question
1 points
Study the table carefully to o answer the questions that follow.

Maximum and minimum temperature (in degree Celsius) recorded on 1 " day of each month of five different Cities

ln which month (on 1st day) is the difference between maximum temperature and minimum temperature of Bhuj second highest?
- 1st September
- 1st October
- 1st November
- lst December
- 1st January
Correct

Incorrect

Difference between maximum temperature and - minimum temperature of Bhuj is second highest 19 - 8 = 11, on 1st November
Question 39 of 50

39. Question
1 points
Study the table carefully to o answer the questions that follow.

Maximum and minimum temperature (in degree Celsius) recorded on 1 " day of each month of five different Cities

What is the average maximum temperature of Beijing over all the months together
- 8.4'c
- 9.6"C
- 7.6'C
- 9.2'C
- 8.6'C
Correct

Incorrect

Average maximum temperature of Beijing
$\frac{12+9+15+2+5}{5}=\frac{43}{5}=8.6^{\circ}C$
Question 40 of 50

40. Question
1 points
Study the table carefully to o answer the questions that follow.

Maximum and minimum temperature (in degree Celsius) recorded on 1 " day of each month of five different Cities

What is the respective ratio between the minimum temperature of Beijing on 1st September and the maximum temperature of On train on l st October?
- 3:4
- 3:5
- 4:5
- 1:5
- 1:4
Correct

Incorrect

Minimum temperature of Beijing on 1st September = 9"C

and maximum temperature of Ontario on 1st October = 15"C

.'. Required ratio =9:15=3:5
Question 41 of 50

41. Question
1 points
Pie-chart showing percentage wise distribution of cars in four different states

Table showing ratio between diesel and petrol engine cars which are distributed among four different states

States Diesels Engine Cars Petrol Engine Cars

States 1 3 4

States 2 5 9

States 3 5 3

States 4 1 1

What is the average number of petrol engine cars in all the states together?
- 86.75
- 89.25
- 89.75
- 86.25
- 88.75
Correct

Incorrect

Total number of cars in state 1= $700\times \frac{14}{100}=98$

Total number of cars in state 2= $700\times \frac{28}{100}=196$

Total number of cars in state 3= $700\times \frac{32}{100}=224$

Total number of cars in state 3= $700\times \frac{26}{100}=182$

Now, number of petrol engine cars in state 1= $98\times \frac{4}{7}=56$

Number of petrol engine cars in state 2= $196\times \frac{9}{14}=126$

Number of petrol engine cars in state 3= $224\times \frac{3}{8}=84$

Number of petrol engine cars in state 4= $182\times \frac{1}{2}=91$

.'. Average total number of petrol engine cars in all states

$\frac{56+126+84+91}{4}=89.25$
Question 42 of 50

42. Question
1 points
Cost of three different fruits (in rupees per kg) in five different cities

ln which city is 'the difference between the cost of 1 kg of apple and cost of 1 kg of guava second lowest?
- Jalandhar
- Delhi
- Chandigarh
- Hoshiarpur
- Ropar
Correct

Incorrect

Difference in cost in Jalandhar = 160 - 60 = Rs 100

Difference in cost in Delhi = 130 - 90 = Rs 40

Difference in cost in Chandigarh = 180 - 120 =Rs60

Difference in cost in Hoshiarpur = 90 - 30 = Rs 60

Difference in cost in Ropar = 40 - 20 = Rs 20

So, second lowest difference in cost is in Delhi
Question 43 of 50

43. Question
1 points
Number of students (in thousand) in two different

universities in six different years

Number of students

What is the sum of the number of students university 1 in the year 2007 and the number students in university 2 in the year 2011 together?
- 50000
- 55000
- 45000
- 57000
- 40000
Correct

Incorrect

Number of students in university 7 in 2007 = 10000

Number of students ir universiry 2 in 2011= 30000

.'. Required sum = 10000 + 30000 = 40000
Question 44 of 50

44. Question
1 points
Pie-chart showing percentage wise distribution of cars in four different states

Table showing ratio between diesel and petrol engine cars which are distributed among four different states

States Diesels Engine Cars Petrol Engine Cars

States 1 3 4

States 2 5 9

States 3 5 3

States 4 1 1

Number of petrol engine cars in state 3 is what percent more than the number of diesel engine cars in state 1?
- 100
- 200
- 300
- 125
- 225
Correct

Incorrect

Total number of cars in state 3 = $\frac{32}{100}\times 700=224$

Now, number of petrol engine cars in state 3= $\frac{3}{5+3}\times 224=84$

and total number of cars in state 1 = $\frac{14}{100}\times 700=98$

Now, number of diesel engine cars in state 1= $\frac{3}{3+5}\times98=42$

.'. Required percentage = $\frac{84}{42}\times 100=200$ %
Question 45 of 50

45. Question
1 points
Pie-chart showing percentage wise distribution of cars in four different states

Table showing ratio between diesel and petrol engine cars which are distributed among four different states

States Diesels Engine Cars Petrol Engine Cars

States 1 3 4

States 2 5 9

States 3 5 3

States 4 1 1

lf 25% of diesel engine cars in siate 3 are AC and remaining cars are non-AC, what is the number of diesel engine cars in state 3 which are non-AC?
- 75
- 45
- 95
- 105
- 35
Correct

Incorrect

Total number of cars in state 3= $\frac{32}{100}\times 100=224$

Now, the number of diesel engine A cars in state 3 = $\frac{5}{5+3}\times 224=140$

Number of diesel engine AC cars in state 3= $140\times \frac{25}{100}=35$

Number of Non- AC diesel engine cars= 140- 35= 105
Question 46 of 50

46. Question
1 points
Pie-chart showing percentage wise distribution of cars in four different states

Table showing ratio between diesel and petrol engine cars which are distributed among four different states

States Diesels Engine Cars Petrol Engine Cars

States 1 3 4

States 2 5 9

States 3 5 3

States 4 1 1

What is the difference between the total number of cars in state 3 and the number of petrol engine cars in state-2?
- 96
- 106
- 112
- 102
- 98
Correct

Incorrect

Total number of cars in state 3= $\frac{32}{100}\times 700=224$

Total number of cars in state 2= $\frac{28}{100}\times 700=196$

Now, number of petrol engine cars in state 2= $Now, number of petrol engine cars in state 2$

.'. Required difference = 224 - 126 = 98
Question 47 of 50

47. Question
1 points
A die is thrown twice. What is the probability of getting a sum 7 From both the throws?
- $\frac{5}{18}$
- $\frac{1}{18}$
- $\frac{1}{9}$
- $\frac{1}{6}$
- $\frac{5}{36}$
Correct

Incorrect
Question 48 of 50

48. Question
1 points
Study the information carefully to answer these questions.
In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remain in g males are non-graduates. Three-fourth
of the females are graduates. Remaining females are non-graduates.

What is the difference between the number of females who are non-graduates and the number of males who are graduates?
- 2
- 22
- 4
- 116
- 36
Correct

Number of Males in team = $240\times \frac{2}{3}=160$

Number of Females in team = 240-160 = 80

Number of graduates Males = $160\times \frac{15}{100}=24$

Number of graduates Females = $80\times \frac{3}{4}=60$

$\therefore$ Number of Non-graduates females = 80 - 60 = 20

$\therefore$ Difference between non-graduate female and graduate female = 24 - 20 = 4

Incorrect

Number of Males in team = $240\times \frac{2}{3}=160$

Number of Females in team = 240-160 = 80

Number of graduates Males = $160\times \frac{15}{100}=24$

Number of graduates Females = $80\times \frac{3}{4}=60$

$\therefore$ Number of Non-graduates females = 80 - 60 = 20

$\therefore$ Difference between non-graduate female and graduate female = 24 - 20 = 4
Question 49 of 50

49. Question
1 points
Study the information carefully to answer these questions.
In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remain in g males are non-graduates. Three-fourth
of the females are graduates. Remaining females are non-graduates.

What is the sum of the number of females who are graduates and the number of males who are non-graduates?
- 184
- 96
- 156
- 84
- 196
Correct

Number of graduate females = 60

Number of graduate males = 24

Number of non-graduate males = 160 - 24= 136

$\therefore$ Total number of graduate females and

non-graduate males = 60 +136= 196

Incorrect

Number of graduate females = 60

Number of graduate males = 24

Number of non-graduate males = 160 - 24= 136

$\therefore$ Total number of graduate females and

non-graduate males = 60 +136= 196
Question 50 of 50

50. Question
1 points
Study the information carefully to answer these questions.
In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remain in g males are non-graduates. Three-fourth
of the females are graduates. Remaining females are non-graduates.

What is the ratio between the total number of males and the number of females who are non-graduates?
- 6 : 1
- 8 : 1
- 8 : 3
- 5 : 2
- 7 : 2
Correct

Total number of males = 160

and number of non- graduate females = 20

$\therefore$ Required ratio = 160 : 20= 8 : 1

Incorrect

Total number of males = 160

and number of non- graduate females = 20

$\therefore$ Required ratio = 160 : 20= 8 : 1