Aptitude Questions (Data Interpretation) for Upcoming AAO/SO Exams

Aptitude Questions (Data Interpretation) for Upcoming AAO/SO Exams Set-35:
Dear Readers, Important Practice Aptitude Questions for Upcoming AAO/SO Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.

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Directions (Q. 1 โ 5): Following table shows the number of items (in thousand) produced by four different companies (A, B, C and D) and the ratio of sold to unsold items among them.

 Company โ Year โ A B C D Total S : US Total S : US Total S : US Total S : US 2006 45.5 4 : 3 64.8 5 : 3 42.14 4 : 3 50 3 : 2 2007 48.6 5 : 4 70.15 3 : 2 49.5 4 : 5 52.7 8 : 9 2008 40 2 : 3 77.11 5 : 6 51 9 : 8 56.4 1 : 1 2009 55 3 : 2 86.4 5 : 3 54 1 : 1 51 2 : 1 2010 64.4 3 : 4 85 8 : 9 66.22 6 : 5 60.5 2 : 3 2011 68 5 : 3 81.18 5 : 4 68.8 5 : 3 62.1 3 : 2
1).What is the number of items sold by Company A in all six years together? (Answer options are in thousand)
a)   168.4
b)   171.6
c)   172.1
d)   173.2
e)   None of these

2).What is the average number of items produced by Company D in all six years (Answer options are in thousand)
a)   54.25
b)   55.45
c)   56.75
d)   57.5
e)   None of these

3).The number of items sold by Company D in the year 2009 is what percentage of the number of items which remains unsold by Company D in the year 2006?
a)   58.82%
b)   80%
c)   120%
d)   150%
e)   170%

4).The number of items which remain unsold by Company C in 2008 is what percentage more or less than the number of items which are sold by Company B in the year 2010?
a)   16%
b)   24%
c)   32%
d)   40%
e)   48%

5).What is the difference between the total items sold and the total items that remain unsold by Company D in all six years together?
a)   24220
b)   25640
c)   26380
d)   27550
e)   None of these

Directions (Q. 6 โ 10): Following pie โ chart shows the percentage distribution of total items (I1 and I2ยญ) produced by six companies (A, B, C, D, E and F) and the table shows the ratio of I1 to I2ยญ and percentage sale of I1 and I2ยญ.

 Company I1 I2ยญ % Sold I1 %Sold I2 A 5 3 65% 62% B 5 4 56% 78% C 2 3 72% 66% D 3 4 75% 60% E 4 3 64% 55% F 3 2 50% 48%
Total items (I1 and I2ยญ) = 16 lakh

6).What is the difference between the total items produced by Company A and B together and the total items produced by Company D?
a)   3.84 lakh
b)   3.06 lakh
c)   2.96 lakh
d)   2.24 lakh
e)   1.78 lakh

7).What is the difference between the total number of I1 items and the total number of I2 items produced by Company F?
a)   24800
b)   25600
c)   26300
d)   27500
e)   28300

8).What is the average number of I1 items sold by all six companies together?
a)   89480
b)   89580
c)   89680
d)   89780
e)   None of these

9).What is the difference between the total number of I1 items sold and the number of I2 items sold by Company E?
a)   14560
b)   14480
c)   14610
d)   14340
e)   14220

10).The number of I1 items sold by Company A is what percentage of the number of I1 items sold by Company F?
a)   40.625%
b)   120%
c)   184.64%
d)   296.5%
e)   None of these

1). c) 2). b) 3). e) 4). d) 5). a) 6). d) 7). b) 8). c) 9). a) 10). e)

Solution:

1).Totalsold = 45.5 ร (4 / 7) + 48.6 ร (5 / 9) +
40 ร (2 / 5) + 55 ร ( 3 / 5) + 64.4 ร (3 / 7) + 68 ร (5 / 8)
= 26 + 27 + 16 + 33 + 27.6 + 42.5
= 172.1 thousand

3).Sold2009 = 34 thousand
UnSold2006 = 20 thousand
Reqd% = (34 / 20) ร 100 = 170%

4).Unsold C2008  = 51 ร (8 / 17) = 24 thousand
Sold B2010  = 85 ร (8 / 17) = 40 thousand
% less = [(40 โ 24) / 40] ร 100 = 1600 / 40 = 40%

5).Sold = 30 + 24.8 + 28.2 + 34 + 24.2 + 37.26 = 178.46 thousand
Unsold = 20 + 27.9 + 28.2 + 17 + 36.3 + 24.84 = 154.24 thousand
Difference = 178.46 โ 154.25 = 24.22 thousand

6).Total items = { [ (24 + 18) โ 28 ] / 100 } ร 16 = 2.24 lakh

7).TotalF = 16 ร (8 / 100) = 1.28 lakh
I1 = (1.28 / 5) ร 3 = 0.768
I2 = (1.28 / 5) ร 2 = 0.512
Diff = 0.768 โ 0.512 = 0.256 lakh = 25600

8).I1Sold by A = 16 ร (24 / 100) ร (5 / 8) ร (65 / 100) = 1.56 lakh
Similarly,
Total I1 = 1.56 + 0.896 + 0.6912 + 1.44 + 0.4096 + 0.384 = 5.3808 lakh
Average = (5.3808 / 6) = 0.8968 lakh = 89680

9).I1 =  16 ร (7 / 100) ร (4 / 7) ร (64 / 100) = 0.4096,
Similarly I2 = 0.2640
Difference = 0.4096 โ 0.2640 = 0.1456 lakh = 14560