**(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%

**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 %

**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

**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

**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