Question : The important book written by Kautilya is

Option 1: Arthashastra

Option 2: Indica

Option 3: Arya

Option 4: Rajatarangini

Question : Simplify the following expression.
$\frac{7}{10} \div \frac{3}{7}$ of $\left(2 \frac{3}{10}+2 \frac{3}{5}\right)+\frac{1}{5} \div 1 \frac{2}{5}-\frac{2}{7}$

Option 1: $-\frac{4}{21}$

Option 2: $\frac{5}{21}$

Option 3: $\frac{4}{21}$

Option 4: $-\frac{5}{21}$

Question : The arithmetic mean of the following numbers
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7 is:

Option 1: 4

Option 2: 5

Option 3: 14

Option 4: 20

Question : If $3\sqrt{\frac{1-a}{a}}+9=19-3\sqrt{\frac{a}{1-a}};$ then, what is the value of $a?$

Option 1: $\frac{3}{10}$ and $\frac{7}{10}$

Option 2: $\frac{1}{10}$ and $\frac{9}{10}$

Option 3: $\frac{2}{5}$ and $\frac{3}{5}$

Option 4: $\frac{1}{5}$ and $\frac{4}{5}$

Question : How many numbers from 1 to 430 are divisible by 7 and 11 both?

Option 1: 5

Option 2: 11

Option 3: 9

Option 4: 7