# Data Interpretation Questions – Quantitative Aptitude

(01) Study the following table which show the number of student appeared and passed in different streams in a University and answer the question given below it

(i). Approximately what percent of students appearing in medical, passed in 2003?
(a) 75%
(b) 85%
(c) 78%
(d) 88%

total\ no.\ of\ student\ appearing\ in\ medical\\ \\ in\ 2003=384 \\\ \\ total\ no.\ of\ student\ passing\ in\ medical\\ \\ in\ 2003=326\\\ \\ required\ percent\ 2003=\frac{326}{384} \times 100\\\ \\ =84.89\\\ \\ =Approx.\ 85\%\ \\\ \\

Option (b) is the right answer

(ii) Approximately what percent of total students appearing in 2004, appeared in commerce stream?
(a) 55.3 %
(b) 64.4 %
(c) 52.5 %
(d) 59.3 %

total\ number\ of\ students\ appearing\ in\ 2004\\ \\ =310+395+106+1180\\ \\ =1991 \\\ \\ \therefore required\ percent=\frac{total\ no.\ of\ student\ appeared\ in\ commerce}{\ total\ no.of\ \ students\ appearing\ in\ 2004} \\\ \\ =\frac{1180}{1991} \times 100\\\ \\ =59.26\ \approx \ 59.3% \\\ \\

Option (d) is the right answer

(iii) The number of student appearing in all stream was minimum in the year.
(a) 2002
(b) 2003
(c) 2004
(d) 2006

no.\ of\ students\ appearing\ in\ all\ streams\\\ \\ Year\ 2002\\ \\ =356+450+74+1246\\ \\ =2106\\\ \\ Year\ 2003\\ \\ =284+384+124+1387 \\ \\ =2179 \\\ \\ Year\ 2004 \\ \\ =310+395+106+1180 \\ \\ =1991\\\ \\ Year\ 2006=380+466+78+1374\\ \\ =2298 \\\ \\ now \\ \\ min. \ no.\ of\ students\ in\ 2004\ is=1991\\\ \\

Option (c) is the right answer

(iv). The number of students passing in all streams was maximum in the year
(a) 2001
(b) 2005
(c) 2006
(d) 2004

total\ no.\ of\ students\ passing\ in\ all\ streams\ in\\ \\ Year\ 2001=289+246+69+1310\\ \\ =1914\\\ \\ Year\ 2005=382+382+74+1326\\ \\ =2164\\\ \\ Year\ 2006=286+405+63+1207\\ \\ =1961 \\\ \\ Year\ 2004=246+289+92+1074\\ \\ =1710\\\ \\ now\\\ \\ max.\ students\ passing\ in\ year\ 2005\ =2164\\\ \\

Option (b) is the right answer

(02) Study the following table and answer the questions given below.
Annual income of five schools
(Figures in 1000 rupees)

(i) For school E, what percent of the income of miscellaneous is the income of donation?
(a) 20%
(b) 40%
(c) \frac{1}{4}%
(d) 400%

income of miscellaneous for school E=60

income of donation for school E=15

Percent of the income of miscellaneous is the income of donation is
=\frac{income\ of\ miscellaneous\ for\ school\ E}{income\ of\ donation\ for\ school\ E} \times 100

\frac{60}{15} \times 100\\

⟹ 400 %

Option (d) is the right answer

(ii) Which school has the highest percentage of income from tuition fee out of its total income?
(a) A
(b) B
(c) C
(d) D

Income of tuition fee for school A=200

Total income for school A=275

Percentage of income from tuition fee out of its total income
=\frac{income\ of\ tuition\ fee\ for\ school\ A}{total\ income\ for\ school\ A} \\\ \\ =\frac{200}{275} \times 100\\\ \\ =72.72 %

Same for
School\ B=\frac{150}{225} \times 100 \\ \\ =66.66% \\\ \\ school\ C=\frac{68}{126} \times 100 \\ \\ =53.96 % \\\ \\ school\ D=\frac{90}{135} \times 100\\ \\ =66.66 %

we see that the highest percentage of tuition fee we get from school A

Option (a) is the right answer

(iii) In case of how many schools, is the income by way of tuition fee ,is less than four times of term fee?
(a) 0
(b) 1
(c) 2
(d) 3

For school A=tuition fee for school A * 4

=200 * 4
=800

=800 > 275, it is greater

Similarly,
For school B=150 * 4
=600
=600 >225, it is greater

for school C=68 * 4
=272
=272 >126, it is greater

for school D= 90*4
=360
=360 >135, it is greater

for school E=65 * 4
=260
=260< 285, it is lesser

we see only in one case school E is the income by way of tuition fee, is less than four times of term fee
Option (b) is the right answer

(iv) Which school has the lowest ratio of income by way of grants and tuition fee?
(a) E
(b) B
(c) D
(d) A

Ratio for school A= \frac{grant\ for\ school\ A}{tuition\ fee\ for\ school\ A}\\ \\ =\frac{19}{200}\\ \\ =0.095\\\ \\

same ratio for B= \frac{32}{150}\\ \\ =0.21 \\\ \\

ratio for D= \frac{12}{90}\\\ \\ =0.13 \\\ \\

ratio for E= \frac{75}{65}\\\ \\ =1.15\\\ \\

we see school A has the lowest ratio of income by way of grants and tuition fee

Option (D) is the right answer