RS Aggarwal Quantitative Aptitude PDF Free Download: TABULATION
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TABULATION
This section comprises of questions in which certain data regarding common disciplines as production over a period of a few years: imports, exports, incomes of employees in a factory, students applying for and qualifying a certain field of study etc. are given in the form of a table. The candidate is required to understand the given information and thereafter answer the given questions on the basis of comparative analysis of the data.
Thus, here the data collected by the investigator are arranged in a systematic form in a table called the tabular form. In order to avoid some heads again and again, tables are made consisting of horizontal lines called rows and vertical lines called columns with distinctive heads, known as captions. Units of measurements are given with the captions.
SOLVED EXAMPLES
The following table gives the sales of batteries manufactured by a company lit the years. Study the table and answer the questions that follow:
(S.B.I.P.O. 1998)
NUMBER OF DIFFERENT TYPES OF BATTERIES SOLD BY A COMPANY OVER THE YEARS (NUMBERS _N THOUSANDS)
TYPES OF BATTERIES
Year

4AH

7AH

32AH 
35AH 
55AH 
T0TAL 
1992 
75 
144 
114 
102 
108 
543

1993 
90 
126 
102 
84 
426 
528

1994 
96 
114 
75 
105 
135 
525 
1995 
105 
90 
150 
90 
75 
510 
1996 
90 
75 
135 
75 
90 
465 
1997 
105 
60 
165 
45 
120 
495 
1998 
115 
85 
160 
100 
145 
605 
 The total sales of all the seven years is the maximum for which battery ?
(a) 4AH (b) 7AH (c) 32AH (d) 35AH (e) 55AH
 What is the difference in the number of 35AH batteries sold in 1993 and 1997 ?
(a) 24000 (b) 28000 (c) 35000 (d) 39000 (e) 42000
 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 (e) 1998
 In the case of which battery there was a continuous decrease in sales from 1992 to 1997 ?
(8) 4AH (b) 7 AH (c) 32AH (d) 35AH (e) 55AH
 What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992 ?
(a) 28% (b) 31% (c) 33% (d)34% (e)37%
Sol. 1. (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 35 AH= 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601
For 55 AH= 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799.
Clearly, sales are maximum in case of 32AH batteries.
 (d\ : Required difference = [(84 – 45) x 1000] = 39000.
 (d) : The percentages of sales of 4AH batteries to the total sales in different years are:
For 1992 =(75*100/543)%=13.81%
For 1993=(90*100)/528%=17.05%
For 1994=(96*100/465)%=19.35%
For 1995=(105*100/495)%=20.59%
For 1996=(96*100/465)%=19.35%
For 1997=(105*100/495)%=21.21%
For 1998=(115*100/605)%=19.01%
Clearly, the percentage is maximum in 1997.
 (b) : From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997.
 (d) : Required Percentage =(145108)/108)*100 %=34.26%=34%.
Ex 2: Study the following table carefully and answer these questions:
NUMBER OF CANDIDATES APPEARED AND QUALIFIED IN A COMPETITIVE EXAMINATION FROM DIFFERENT STATES OVER THE YEAR

1997 
1998 
1999 
2000 
2001 


App. 
Qual. 
App. 
Qal. 
App. 
Qual. 
App. 
Qual. 
App. 
Qual 
M 
5200 
720 
8500 
980 
7400 
850 
6800 
775 
9500 
1125 
N 
7500 
840 
9200 
1050 
8450 
920 
9200 
980 
8800 
1020 
P 
6400 
780 
8800 
1020 
7800 
890 
8750 
1010 
9750 
1250 
Q 
8100 
950 
9500 
1240 
8700 
980 
9700 
1200 
8950 
995 
R 
7800 
870 
7600 
940 
9800 
1350 
7600 
945 
7990 
885 
 Combining the states P and Q, together in 1998, what is the percentage of the candidates qualified to that of the canditates appeared?
(8) 10.87% (b) 11.49% (c) 12.35% (d) 12.54% (e) 13.50%
2.The percentage of the total number of qualified candidates to the total number appeared candidates among all the five states in 1999 is :
(a) 11.49% (b) 11.84% (c) 12.21% (d) 12.57% (e) 12.7a1
 What is the percentage of candidates qualified from State N for all the years together, over the candidates appeared from State N during all the years together?
(a) 12.36% (b) 12.16% (c) 11.47% (d) 11.15% (e)None of these
 What is the average of candidates who appeared from State Q during the given yeas?
(8) 8700 (b) 8760 (c) 8810 (d) 8920 (e) 8990
5 . In which of the given years the number of candidates appeared from State P has maximum percentage of qualified candidates?
(8) 1997 (b) 1998 (c) 1999 (d) 2000 (e) 2001
 Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998 ?
(8) 72% (b) 77% (c) 80% (d) 83% (e) 86%
Sol.1.(c)Required Percentage=(1020+1240) *100%=(2260*100)/18300%
(8800+9500)
=12.35%
Required Percentage= (850+920+890+980+1350) *100%
(7400+8450+7800+8700+9800)
=(4990*100)/42150%
=11.84%
(e) : Required Percentage=(84+1050+920+980+1020)/(7500+9200+8450+9200+8800)*100%
=(4810*100)/43150* %
=11.15%
 (e) Required average =(8100+9500+8700+9700+8950)/5
=44950/5
=8990
 (e) : The percentages of candidates qualified to candidates appeared from State P during different years are:
For 1997= 780 * 100% =12.19%
6400
for 1998 = 1020*100 %=11.59%
8800
For 1999 = 890*100 %=11.41%;
7800
For 2000 = 1010* 100 % = 11.54%.
8 750
For 2001=1250*100 %= 12.82%
9750
:. Maximum percentage is for the year 2001.
 (c) : Required Percentage =( 720 + 840 + 780 + 950 + 870) . x 100
980+1050+1020+1240+940
=80%
Ex. 3. The following table gives the percentage of marks obtained by seven students in six , different subjects in an examination. Study the table and answer the questions based on it. The numbers in the brackets give the maximum marks in each subject.
(Bank P.O. 2003)
\ 






I 
(Max. 
Maths 
Chemistry 
Physics 
Geography 
History 
Computer 

marks) 





Science 

Student 
(160) 
(130) 
(120) 
(100) 
(60) 
(40) 

Ayush 
90 
50 
90 
60 
70 
80 

Aman 
100 
80 
80 
40 
80 
70 

Sajal 
90 
60 
70 
70 
90 
70 

Rohit 
80 
65 
80 
80 
60 
60 

Muskan 
80 
65 
85 
95 
50 
90 

Tanvi 
70 
75 
65 
85 
40 
60 

Tharun 
65 
35 
50 
77 
80 
80 

 What was the aggregate of marks obtained by Sajal in all the six subjects?
(a) 409 (b) 419 (c) 429 (d) 439 (e) 449
 What is the overall percentage of Thrun?
(a) 52.5% (b) 55% (c) 60% (d) 63% (e) 64.5%
 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 (e) 103.21
 The number of students who obtained 60% and above marks in all the subjects is :
(a) 1 (b) 2 (c) 3 (d) None (e) None of these
 In which subject is the overall percentage the best?
(a) History (b) Maths (c) Physics (d) Chemistry (e) Geography
Sol. 1.. (e) : 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.
 (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.
Total maximum marks (of all the six subjects)
= (150 + 130 + 120 + 100 + 60 + 40) = 600.
Overall percentage of Tarun = 360 x 100 % = 60%.
. 600
 (b) : Average marks obtained in Physics by all the seven students
= 1 [(90% of 120) + (80% of 120) + (70% of 120) + (80% of 120)
7
+ (85% of 120) + (65% of 120) + (50% of 120)]
= 1 [(90 + 80 + 70 +80 + 85 + 65 + 50)% of 120]
7
=1 [520% of 120] = 89.14.
7
 (b) : From the table it is clear that Sajal and Rohit have 60% or more marks
in each of the six subjects.
 (b) : 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(90+100+90+80+80+70+65)]%
7
= [1(575)]% = 82.14%.
7
(ii) Chemistry = [1(50 + 80 + 60 + 65 + 65 + 75 + 35)]%
7
= [1(430)]% = 61.43%. .
7
(iii) Physics = [1(90 + 80 + 70 + 80 + 85 + 65 + 50)]%
7
=[1 (520)]% = 74.29%.
7
(iv) Geography = [1(60 + 40 + 70 + 80 + 95 + 85 + 77)]%
7
= [1 (507)}_ = 72.43%.
7
(v) History = [1 (70 + 80 + 90+ 60 + 50 + 40 + 80)]%
7
=1 [(470)]% = 67.14%.
7
(vi) Computer Science = [1/7 (80 + 70 + 70 + 60 + 90 + 60 + 80)]%
= [1 (510)]% = 72.86%.
7
Clearly; this. percentage is highest for Maths.
ex.4. Study the following table carefully and answer tbe questions given below:(Bank P.O. 2001)
CLASSIFICATION OF 100 STUDENTS BASED ON THE MARKS OBTAINED BY THEM IN PHYSICS AND CHEMISTRY IN AN EXAMINATION
Marks out 





Of 50 
40 and 
30 and 
20 and 
10 and 
0 and 
Subject 
above 
Above 
above 
above 
above 
physics 
9 
32 
80 
92 
100 




,. 

chemistry 
4 
,21 
66 
81, 
100 
(aggregate 





Average) 
7 
27 
73 
87 
100 
 The number of students scoring less than 40% marks in aggregate is :
(a) 13 (b) 19 (c) 20 (d) 27 (e) 34
 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 (e) 68
 What is the difference between the number of students passed with 30 as cutoff marks in Chemistry and those passed with :JUas cutoff marks in aggregate?
(a) 3 (b) 4 (c) 5 (d) 6 (e) 7
 The percentage of the number of students getting at least 60% marks in Chemistry over those getting at least 40% marks in aggregate, is approximately:
(a) 21% (b) 27% (c) 29% (d) 31% (e) 34%
 If it is known that at least 23 students were eligible for a Symposium on Chemistry the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:
(a) 4050 (b) 3040 (c) 2030 (d) Below 20
Sol. 1. (d) : We have 40% of 50 =(40 x 50)= 20.
100
:. Required number = Number of students scoring less than 20 marks
in aggregate
= 100 – number of students scoring 20 and above
marks in aggregate = 100 – 73 = 27.
 (b) : We have 60% of 50 =(60 x 50) = 30.
100
:. Required number = Number of students scoring 30 and above mark
in Physics = 32. .
 (d) : Required difference = (Number of students scoring 30 and above in mark in Chemistry) (Number of students scoring 30 and
. above marks in aggregate) = 27 – 21 = 6.
 (c) : Number of students getting at least 60% marks in Chemistry
= Number of students getting 30 and above marks in Chemistry = 21. Number of students getting at least 40% marks in aggregate
= Number of students getting 20 and above marks in aggregate = 73.
:. Required Percentage = (21x 100)% = 28.77% ≈29%.
73
 (c) : Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 2030.
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