Data-Interpretation

Question 1

What is the average marks obtained by all the six students in Chemistry?

A
86.66
B
76.66
C
66.66
D
60.00
Question 1 Explanation: 
Given marks are in percentages.
Average marks obtained by all students in chemistry=Total marks /Number of students
Total marks=130 × 0.5 + 0.6 × 130 + 0.6 × 130 + 0.75 × 130 + 0.8 × 130 + 0.75 × 130
=520
Average =520/6=86.66
Question 2

In which subject the performance of the students is worst in terms of percentage of marks?
A
Chemistry
B
Physics
C
Biology
D
English
Question 2 Explanation: 
Chemistry = (130 × 0.5 + 0.6 × 130 + 0.6 × 130 + 0.75 × 130 + 0.8 × 130 + 0.75 × 130) / 780 = 520/780=66.66
Physics = (120 × 0.8 + 0.7 × 120 + 0.85 × 120 + 0.65 × 120 + 0.7 × 120 + 0.56 × 120) / 720 = 511.2/720 =71
Biology = (60+40+80+90+85+80) / 600 = 72.5
English = (70+80+60+90+50+40) / 600 = 65
English subject is worst in terms of percentage.
Question 3

What is the overall percentage of marks obtained by Amar?
A
70%
B
72%
C
60%
D
58.33%
Question 3 Explanation: 
Overall percentage of marks obtained by Amar= (1x150 + 0.6x130 + 0.7x120 + 0.4x100 + 0.8 x 100) / (150 + 130 + 120 + 100 + 100)
=432/600
=72%
Question 4

How many students obtained 60% and above marks in all the subjects?
A
Three
B
Two
C
One
D
Zero
Question 4 Explanation: 
Only Sanya and Rahul obtained 60% and above marks in all subjects.
Question 5

What was the aggregate of marks obtained by Sanya in all the five subjects?

A
375
B
395
C
455
D
475
Question 5 Explanation: 
Aggregate marks of sanya obtained in all five subjects
=0.9x150 + 0.6x130 + 0.85x120 + 0.8x100 + 0.6x100
=455
Question 6
Comprehension
The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Answer questions 1 to 5 based on the data given below:

What is the ratio of the number of females in Civil and Electrical departments together to the number of males in the same Departments together?
A
311 : 270
B
329 : 261
C
411 : 469
D
311 : 269
Question 6 Explanation: 
Number of females in civil department is (35/100)*220 = 77
Number of females in electrical department is (65/100)*360 = 234
Total number of female students(civil+electrical)=77+234=311
Number of males in civil department is (65/100)*220 = 143
Number of males in electrical department is (35/100)*360 = 126
Total number of male students(civil+electrical)=143+126=269
The ratio of the number of females in Civil and Electrical departments together to the number of males in the same Departments together is 311 : 269
Question 7
Comprehension
The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Answer questions 1 to 5 based on the data given below:

What is the average percentage of female students in the whole Institute?
A
42.0%
B
41.0%
C
43.0%
D
41.5%
Question 7 Explanation: 
Average percentage of female students in the whole institute =45+35+23+65+44+40
Total female students percentage=252
Average= (252%6) = 42%
Question 8
Comprehension
The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Answer questions 1 to 5 based on the data given below:

What is the respective ratio of the number of females in the Mechanical Department to the number of females in the Electronics Department?
A
4 : 3
B
23 : 22
C
24 : 21
D
23 : 21
Question 8 Explanation: 
Number of females in the Mechanical Department is (23%100)*900 = 207
Number of females in the Electronics Department= (44%100)*450 = 198
Ration=207:198=23:22
Question 9
Comprehension
The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Answer questions 1 to 5 based on the data given below:

What is the total number of students in all the Departments?
A
2210
B
3210
C
3400
D
3310
Question 9 Explanation: 
Total number of students in all the Departments = 840 + 220 + 900 + 360 + 450 + 540= 3310
Question 10
Comprehension
The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Answer questions 1 to 5 based on the data given below:

What is the total number of male students in the Computer and Mining Department together?
A
266
B
886
C
786
D
686
Question 10 Explanation: 
Total number of male students in the Computer Department is (55/100)*840 = 462
Total number of male students in the Mining Department is is (60/100)*540 = 324
Total number of male students in the Computer and Mining Department together is 462+ 324= 786
Question 11
The following table shows the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F. Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table, answer the questions
College-wise Distribution of Students

The ratio of the number of boys in College F with the number of boys in college D is
A
31:39
B
39:31
C
29:37
D
37:29
Question 12
The following table shows the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F.Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table, answer the questions College-wise Distribution of Students
The number of girls in College F is ____ % more than the number of girls in College A
A
25
B
30
C
40
D
50
Question 13
The following table shows the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F.Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table, answer the questions College-wise Distribution of Students
The difference between the number of boys and number of girls studying in College D is
A
4040
B
4080
C
7440
D
3360
Question 14
The following table sh0ws the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F.Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table, answer the questions College-wise Distribution of Students
The average of the number of boys studying in Collegs A,B and C is
A
4900
B
4700
C
4400
D
4800
Question 15
The following table shows the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F.Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table, answer the questions College-wise Distribution of Students
The number of girl students studying in College C as a percentage of the number of boys studying in College E is
A
70%
B
75%
C
80%
D
90%
Question 16
Directions for question number 3 to 7:
Study the following and the table and answer the questions given below. (Data of different states regarding population of states in the year 2018)
Total population of the given States = 3276000

Q3. If in the year 2018, population of F is increased by 10% and population of B is increased by 12% as compared to the previous year, then ______ is the ratio of population of F and B in 2017.
A
42 : 55
B
62 : 55
C
42 : 11
D
44 : 5
Question 16 Explanation: 
F 2018 = (15/100)*3276000
B 2018 = (20/100)*3276000
F increased by 10% in 2018.
B increases by 12% in 2018.
So, F 2017→ 1.1 times= 15*32760
B 2017→ 1.12 times = 20*32760
F 2017 : B2017 = [(15*3276)*10]/11 : [(20*32760)*100]/112
= 42:55
Question 17
Directions for question number 3 to 7:
Study the following and the table and answer the questions given below. (Data of different states regarding population of states in the year 2018)
Total population of the given States = 3276000

Q4. _______ is the percentage of total number of males in F, B and D together to the total population of all the given states.
A
24%
B
17.5%
C
28.5%
D
29.5%
Question 17 Explanation: 
Let population=X
Males of F in 2018 = (⅗)*15*(X/100) = 9X/100
Males of B in 2018 = (¾)*20*(X/100) = 15X/100
Males of D in 2018 = (⅜)*12*(X/100)=4.5X/100
Total=(28.5*X)/100
X=28.5%
Question 18
Directions for question number 3 to 7:
Study the following and the table and answer the questions given below. (Data of different states regarding population of states in the year 2018)

Total population of the given States = 3276000

Q5. The number of males in F in the year 2018 is ______.
A
294650
B
294840
C
301470
D
301200
Question 18 Explanation: 
Males of F in 2018 = (9X/100) = (9/100)*3276000
=10’s digit is 4
So, Option-B is correct.
Question 19
Directions for question number 3 to 7:
Study the following and the table and answer the questions given below. (Data of different states regarding population of states in the year 2018)

Total population of the given States = 3276000

Q6. _____ is the ratio of the number of females in G to the number of females in C.
A
16 : 5
B
16 : 7
C
15 : 11
D
15 : 14
Question 19 Explanation: 
=327600*9*(4/7) : 327600*8*(3/5)
=(9*4)/7 * 5/(8*3)
= 15:14
Question 20
Directions for question number 3 to 7:
Study the following and the table and answer the questions given below. (Data of different states regarding population of states in the year 2018)

Total population of the given States = 3276000

Q7. _____ is the total number of non-educated people in A and B in 2018.

A
1276040
B
1032170
C
1081550
D
1161160
Question 20 Explanation: 
Non educated people= A 2018 + B 2018
= (7/9) * (25X/100) + ⅘ * (20X / 100) * 9/9
= 1161160
Question 21

Directions for question number 38 to 42:
Answer the questions on the basis of the following information provided:
The students of a school participates in various sports activities, the distribution of the same is given below:
Football - 17%
Handball - 26%
Badminton - 16%
Table Tennis - 22%
Basketball - 19%
Total number of students in the school are 800.
Q38. What is the respective ratio between the total number of students taking part in Badminton and Table Tennis together and those participating in Basketball and Football together?
A
11 : 13
B
18 : 19
C
19 : 18
D
29 : 28
Question 21 Explanation: 
Total number of students taking part in Badminton and Table Tennis together is =(0.16*800 + 0.22*800)
= 304
Total number of students taking part in Basketball and Football together is = (0.19*800 + 0.17*800)
=288
Ration= 304/16=19 : 288/16= 18
Question 22

Directions for question number 38 to 42:
Answer the questions on the basis of the following information provided:
The students of a school participates in various sports activities, the distribution of the same is given below:
Football - 17%
Handball - 26%
Badminton - 16%
Table Tennis - 22%
Basketball - 19%
Total number of students in the school are 800.
What is the number of girls who take part in handball, if the ratio of boys to girls is 3 : 10 respectively?
A
48
B
80
C
78
D
160
Question 22 Explanation: 
Total number of students in handball is 208
Ration is 3:10
48: 160
Boys = 48 and girls = 160
Question 23

Directions for question number 38 to 42:
Answer the questions on the basis of the following information provided:
The students of a school participates in various sports activities, the distribution of the same is given below:
Football - 17%
Handball - 26%
Badminton - 16%
Table Tennis - 22%
Basketball - 19%
Total number of students in the school are 800.
The number of students taking part in Basketball is approximately what percent more than those taking part in Football?
A
10.84%
B
9.92%
C
9.32%
D
None of the options
Question 23 Explanation: 
Y is what percentage more than X= Y-X/X * 100
Basketball is approximately what percent more than those taking part in Football = ((19-17) /17) *100.
Question 24

Directions for question number 38 to 42:
Answer the questions on the basis of the following information provided:
The students of a school participates in various sports activities, the distribution of the same is given below:
Football - 17%
Handball - 26%
Badminton - 16%
Table Tennis - 22%
Basketball - 19%
Total number of students in the school are 800.
If out of the number of students in Basketball, 69 are girls, what is the difference between the number of boys and girls taking part in Basketball?
A
17
B
23
C
86
D
14
Question 24 Explanation: 
Total number of Basket students = 152
Girls= 69
Boys= 152-69= 83
Difference= 83-69 = 14
Question 25

Directions for question number 38 to 42:
Answer the questions on the basis of the following information provided:
The students of a school participates in various sports activities, the distribution of the same is given below:
Football - 17%
Handball - 26%
Badminton - 16%
Table Tennis - 22%
Basketball - 19%
Total number of students in the school are 800.
What is the approximate average of the number of participants in Handball, Badminton and Basketball?
A
162
B
163
C
104
D
169
Question 25 Explanation: 
Total number of Basket students = 152
Total number of students in handball = 208
Total number of students in Badminton= 128
=(152+208+128)/3
=488/3
=162.66
Question 26
The following table presents the production of electronic items (TVs and LCDs) in a factory during the period from 2006 to 2010. Study the table carefully and answer the questions from 48 to 52:
Year    2006    2007    2008    2009    2010

TV       6000    9000    13000  11000  8000

LCDs  7000    9400    9000    10000  12000
 
  • What is the difference between averages of production of LCDs and TVs from 2006 to 2008?
A
3000
B
2867
C
3015
D
2400
E
None of the Above
Question 26 Explanation: 
(Wrong question)
Question 27
The following table presents the production of electronic items (TVs and LCDs) in a factory during the period from 2006 to 2010. Study the table carefully and answer the questions from 48 to 52:
Year    2006    2007    2008    2009    2010
TV      6000    9000    13000   11000   8000
LCDs   7000    9400    9000    10000  12000
What is the year in which production of TVs is half the production of LCDs in the year 2010?
A
2007
B
2006
C
2009
D
2008
Question 28
The following table presents the production of electronic items (TVs and LCDs) in a factory during the period from 2006 to 2010. Study the table carefully and answer the questions from 48 to 52:
Year    2006    2007    2008    2009    2010
TV      6000    9000    13000   11000   8000
LCDs   7000    9400    9000    10000  12000
What is the ratio of production of LCDs in the years 2008 and 2010?
A
4 : 3
B
3 : 4
C
1 : 3
D
2 : 3
Question 29
The following table presents the production of electronic items (TVs and LCDs) in a factory during the period from 2006 to 2010. Study the table carefully and answer the questions from 48 to 52:
Year     2006    2007    2008    2009    2010
TV       6000    9000    13000   11000   8000
LCDs   7000    9400    9000    10000   12000
What is the ratio of production of TVs in the years 2006 and 2007?
A
6 : 7
B
7 : 6
C
2 : 3
D
3 : 2
Question 30
Some students in a class exhibit great curiosity for learning. It may be because such children
A
Are gifted
B
Come from rich families
C
Show artificial behaviour
D
Create indiscipline in the class
Question 31
Consider the following two tables (I and II) that indicate the percentage of employees working in various departments of an organization along with the ratio of men to women in the same departments. The total number of employees in the organization is 4600. Based on these tables I and II, answer the questions that follow (Questions no. 31 – 35):



What is the total number of women in the Accounts department?
A
86
B
102
C
80
D
92
Question 32
Consider the following two tables (I and II) that indicate the percentage of employees working in various departments of an organization along with the ratio of men to women in the same departments. The total number of employees in the organization is 4600. Based on these tables I and II, answer the questions that follow (Questions no. 31 – 35):



What is the total number of employees working in the IT and HR departments together ?
A
1628
B
1646
C
1766
D
1702
Question 33
Consider the following two tables (I and II) that indicate the percentage of employees working in various departments of an organization along with the ratio of men to women in the same departments. The total number of employees in the organization is 4600. Based on these tables I and II, answer the questions that follow (Questions no. 31 – 35):



What is the ratio of the total number of men to total number of women working in all the departments put together?
A
63 : 41
B
41 : 27
C
53 : 47
D
27 : 19
Question 34
Consider the following two tables (I and II) that indicate the percentage of employees working in various departments of an organization along with the ratio of men to women in the same departments. The total number of employees in the organization is 4600. Based on these tables I and II, answer the questions that follow (Questions no. 31 – 35):



The number of women in the Purchase department forms what percentage of the total number of employees in the organization?
A
3%
B
6%
C
1%
D
12%
Question 35
Consider the following two tables (I and II) that indicate the percentage of employees working in various departments of an organization along with the ratio of men to women in the same departments. The total number of employees in the organization is 4600. Based on these tables I and II, answer the questions that follow (Questions no. 31 – 35):



What is the ratio of the number of men in the Production department to the number of men in the Marketing department ?
A
7 : 3
B
9 : 11
C
13 : 7
D
11 : 9
Question 36
Among the following, identify the continuous type of data:
A
Number of languages a person speaks
B
Number of children in a household
C
Population of cities
D
Weight of students in a class
Question 37
The table below embodies data on the sales revenue (Rs. in lakh) generated by a publishing house during the years 2012-15 while selling books, magazines and journals as three categories of items. Answer questions 19 — 21 based on the data contained in the table.


The number of years in which there was an increase in revenue from at least two categories of items, is
A
0
B
1
C
2
D
3
Question 38
The table below embodies data on the sales revenue (Rs. in lakh) generated by a publishing house during the years 2012-15 while selling books, magazines and journals as three categories of items. Answer questions 19 — 21 based on the data contained in the table.


If the year 2016 were to show the same growth in terms of total sales revenue as the year 2015 over the year 2014, then the revenue in the year 2016 must be approximately:
A
Rs. 194 lakh
B
Rs. 187 lakh
C
Rs. 172 lakh
D
Rs. 177 lakh
Question 39
The table below embodies data on the sales revenue (Rs. in lakh) generated by a publishing house during the years 2012-15 while selling books, magazines and journals as three categories of items. Answer questions 19 — 21 based on the data contained in the table.


In 2015, approximately what percent of total revenue came from books?
A
45%
B
55%
C
35%
D
25%
Question 40
A University professor maintains data on MCA students tabulated by performance and gender of the students. The data is kept on a computer hard disk, but accidently sonic of it is lost because of a computer virus. Only the following could be recovered:

Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:
(a) Half the students were either excellent or good.
(b) 40% of the students were females.
(c) One-third of the male students were average.
Answer questions 22 — 24 based on the data given above:

What proportion of female students are good?
A
0
B
0.25
C
0.5
D
0.75
Question 41
A University professor maintains data on MCA students tabulated by performance and gender of the students. The data is kept on a computer hard disk, but accidently sonic of it is lost because of a computer virus. Only the following could be recovered:

Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:
(a) Half the students were either excellent or good.
(b) 40% of the students were females.
(c) One-third of the male students were average.
Answer questions 22 — 24 based on the data given above:

Approximately, what proportion of good students are male?
A
0
B
0.73
C
0.43
D
0.27
Question 42
A University professor maintains data on MCA students tabulated by performance and gender of the students. The data is kept on a computer hard disk, but accidently sonic of it is lost because of a computer virus. Only the following could be recovered:

Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:
(a) Half the students were either excellent or good.
(b) 40% of the students were females.
(c) One-third of the male students were average.
Answer questions 22 — 24 based on the data given above:

How many female students are excellent?
A
0
B
8
C
16
D
32
Question 43
Given below in the table is the decadal data of Population and Electrical Power Production of a country.

Based on the above table, answer the questions from Sl. No. 37 to 42.

Which decade registered the maximum growth rate (%) of population?
A
1961-71
B
1971-81
C
1991-2001
D
2001-2011
Question 44
Given below in the table is the decadal data of Population and Electrical Power Production of a country.

Based on the above table, answer the questions from Sl. No. 37 to 42.

Average decadal growth rate (%) of population is:
A
~12.21%
B
~9.82%
C
~6.73%
D
~5%
Question 45
Given below in the table is the decadal data of Population and Electrical Power Production of a country.

Based on the above table, answer the questions from Sl. No. 37 to 42.

Based on the average decadal growth rate, what will be the population in the year 2021?
A
40.34 million
B
38.49 million
C
37.28 million
D
36.62 million
Question 46
Given below in the table is the decadal data of Population and Electrical Power Production of a country.

Based on the above table, answer the questions from Sl. No. 37 to 42.

In the year 1951, what was the power availability per person?
A
100 W
B
200 W
C
400 W
D
500 W
Question 47
Given below in the table is the decadal data of Population and Electrical Power Production of a country.

Based on the above table, answer the questions from Sl. No. 37 to 42.

In which decade, the average power availability per person was maximum?
A
1981-1991
B
1991-2001
C
2001-2011
D
1971-1981
Question 48
Given below in the table is the decadal data of Population and Electrical Power Production of a country.

Based on the above table, answer the questions from Sl. No. 37 to 42.

By what percentage (%) the power production increased from 1951 o 2011?
A
100%
B
300%
C
600%
D
900%
Question 49
The following table shows the percentage profit (%) earned by two companies A and B during the years 2011 - 15. Answer questions 51 - 53 based on the data contained in the table:
Profit earned by the companies


If the total expenditure of the two companies was Rs. 9 lakh in the year 2012 and the expenditure of A and B were in the ratio 2:1, then what was the income of the company A in that year?
A
Rs. 9.2 lakh
B
Rs. 8.1 lakh
C
Rs. 7.2 lakh
D
Rs. 6.0 lakh
Question 50
The following table shows the percentage profit (%) earned by two companies A and B during the years 2011 - 15. Answer questions 51 - 53 based on the data contained in the table:
Profit earned by the companies


What is the average percentage profit earned by the company B?
A
35%
B
42%
C
38%
D
40%
There are 50 questions to complete.

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