The students (in Lakh) who appeared and ratio of pass and fail in different cities are given in the following table. Read carefully and answer following question

City	Applicants (in lakh)	Ratio of Pass and Fail
A	1.25	7 : 3
B	3.14	5 : 3
C	1.08	4 : 5
D	2.27	1 : 3
E	1.85	3 : 2
F	2.73	7 : 5

Which city has highest number of failures in exam ?

• F

• C

• B

• D

Percentage of girls in different school are plotted in following graph. Read carefully and answer following questions

Total number of boys in School T

• 500

• 600

• 750

• 850

$\mathrm{The} \mathrm{greatest} \mathrm{among} \mathrm{numbers} \sqrt[3]{9}, \sqrt[4]{11} \mathrm{and} \sqrt[6]{17} \mathrm{is}$

• $\sqrt[3]{9}$

• $\sqrt[4]{11}$

• $\sqrt[6]{17}$

• Cannot be determined

Difference of two natural numbers is always

• an integer

• a natural number

• a whole number

• a positive number

85.

$\mathrm{One} \mathrm{factor} \mathrm{of} 2{\mathrm{x}}^2 - 9\mathrm{x} - 26 \mathrm{is}$

• x + 1

• x + 2

• x + 3

• x + 4

$\mathrm{HCF} \mathrm{of} \frac{2}{5}, \frac{8}{35}, \frac{4}{15} \mathrm{and} \frac{6}{25} \mathrm{is}$

• $\frac{1}{525}$

• $\frac{2}{525}$

• $\frac{1}{552}$

• $\frac{2}{255}$

$\frac{519 \times 519 - 81 \times 81}{519 \times 519 + 2 \times 519 \times 81 + 81 \times 81} = ?$

• $\frac{73}{200}$

• $\frac{73}{100}$

• $\frac{100}{78}$

• $\frac{200}{73}$

$\mathrm{Faactors} \mathrm{of} \left[1 - \frac{1}{{\left(\mathrm{a} - \mathrm{b}\right)}^{ - 2}}\right] \mathrm{will} \mathrm{be}$

• $\left(1 + \mathrm{a} - \mathrm{b}\right)\left(1 - \mathrm{a} + \mathrm{b}\right)$

• $\left(1 + \mathrm{a} - \mathrm{b}\right)\left(1 + \mathrm{a} + \mathrm{b}\right)$

• $\left(1 +\hspace{0.17em}a - b\right)\left(1 - a - b\right)$

• $\left(1 +\hspace{0.17em}\mathrm{a} +\hspace{0.17em}\mathrm{b}\right)\left(1 + \mathrm{a} +\hspace{0.17em}\mathrm{b}\right)$

HCF of two numbers is 9 and their LCM is 270. If the sum of the numbers is 99, their difference is equal to

• 18

• 15

• 12

• 9