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Question 1:

Simplify and find the value of $x$ in the following questions:
$\frac{9}{11}$ of $726 \div 54+23-x=15$

Question 2:

A bag contains an equal number of 20 paisa, 25 paisa, 50 paisa and 5 paise coins respectively. If the total amount is 400, how many coins of each type are there?

Question 3:

Find the average of $\frac{1+2^{2}+3^{2}+\cdots 10^{2}}{1+2+3+\cdots 10}$

Question 4:

In an equilateral $\triangle \mathrm{ABC}$, the medians $\mathrm{AD}, \mathrm{BE}$ and $\mathrm{CF}$ intersect each other at point $\mathrm{G}$, if the area of quadrilateral $\mathrm{AEGF}$ is $192 \sqrt{3} \mathrm{~cm}^{2}$, then find the length of $A D$ (in $\mathrm{cm}$ ).

Question 5:

12 persons can build a house in 15 months then find in how many months can 20 persons can build the same house?

Question 6:

Abhishek goes to kanpur from Bareily at $6 \mathrm{~km} / \mathrm{hr}$ and returns to Bareily from kanpur at $x \mathrm{~km} / \mathrm{hr}$. What is the value of $x$, if average speed of Abhishek while going and coming back is $12 \mathrm{~km} / \mathrm{hr}$ ?

Question 7:

Priyanka starts business with Rs. 4500 and after 9 months, Manisha joins with Priyanka as her partner. After a year, the profit divided in the $3: 5$. What is Manisha 's contribution in the capital?

Question 8:

The marked price of a shirt is Rs. 250. It is sold for RS. 225. The rate of discount is:

Question 9:

By what \% above the cost price should a shopkeeper mark the price of his goods so that by selling them at $20 \%$ discount, he may gain $10 \%$ ?

Question 10:

In a village, the production of food grains increased by $40 \%$ and the per capita production of food grains increased by $27 \%$ during a certain period. The percentage by which the population of the village increased during the same period is nearest to