Question 1 :
The expenses of a hotel consists of two parts. One part varies with the number of inmates while the other is always constant. When the number of inmates is 200 and 250 the expenses are respectively Rs. 1300 and Rs. 1600. Then the expenses for 300 inmates are ____________.

Question 2 :
Choose the correct answer from the alternatives given :<br/>If $2x&#160;+ 3y = 12$ and $3x-2y = 5$, then

Question 3 :
In the equation $2x - 3y = 12$. The value of $x$ and $y$ that satisfy the equation are-

Question 4 :
Cost of one apple is $3$ times the cost of an orange.&#160;If price of $3$ apples is $72$ then price of $6$ oranges will be Rs. _____

Question 5 :
Ravi distributed the chocolates with him equally between Rajesh and Suresh. He was left with a chocolate. Rajesh distributed his share equally among three of his friends and was also left with a chocolate. One of the three distributed his share equally among four of his friends and was left with no chocolate. Which of the following could be the number of chocolates that Rajesh received?

Question 6 :
Total cost of $15$ erasers and $25$ pencils is Rs. $185$ and the total cost of $9$ erasers and $x$ pencils is Rs. $106$. Which of the following cannot be the value of $x$?

Question 9 :
Find the value to three places of decimal of the following. It is given that $\sqrt{2}=1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236$ and $\sqrt{10}=3.162.$&#160;<br/>$\dfrac{3}{\sqrt{10}}$

Question 10 :
Simplify : $3\sqrt{2}+\sqrt [ 4 ]{ 64 } +\sqrt [ 4 ]{ 2500 } +\sqrt [ 6 ]{ 8 } $

Question 13 :
The point of intersection of the diagonals of a quadrilateral divides one diagonal in theratio $1 : 2 .$ Can it be a parallelogram?

Question 14 :
A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.<br>$S_1\equiv$A's triangles must be similar<br>$S_2\equiv$ B's pentagons must be similar<br>Which of the following statement is correct?

Question 15 :
State whether the statement is True or False.Expand: $(2a+b)^3 $ is equal to $8a^3+12a^2b+6ab^2+b^3 $.<br/>

Question 16 :
State whether the statement is True or False.Evaluate: $(7x+\dfrac{2}{3}y)(7x-\dfrac{2}{3}y)$ is equal to $49x^2-\dfrac{4}{9}y^2$.<br/>

Question 17 :
A quadratic polynomial when divided by $(x+2)$ leaves a remainder $1$, and when divided by $(x-1)$, leaves a remainder&#160;$4$. What will be the remainder if it is divided by $(x+2)(x-1)$?

Question 20 :
If&#160;$\displaystyle { \left( n+1 \right) &#160;}^{ 3 }-{ n }^{ 3 }=-n$ , then which of the following can be the value of $n$ ?