Question 1 :
If $x$ satisfies the inequalities $x + 7 < 2x + 3$ and $2x + 4 < 5x + 3$, then $x$ lies in the interval.

Question 2 :
The Inverse expression of $x+\cfrac { 1 }{ x } $ will be:

Question 4 :
The sum of the present ages of a father and his son is 60 years Six years ago father's age was five times the age of the son After six years son's age will be-

Question 6 :
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:<br/>

Question 7 :
If $x+\dfrac{1}{x}=a+b$ and $ x-\dfrac{1}{x}=a-b $ then, which of the following is correct?

Question 9 :
If $50$ is subtracted from two-third of a number, the result is equal to sum of $40$ and one-fourth of that number. What is the number?

Question 10 :
If a number, $t$, is added to each of the numbers, the new sum would be $4.22$. What is the value of $t$?<br/>$\displaystyle \quad 0.65\\ \quad 0.85\\ \quad 0.38\\ +0.86$<br/>

Question 13 :
Lines PQ and RS intersect at O. If $\angle POR$ is three times$\angle ROQ$, then$\angle SOQ$ is

Question 14 :
Lines PQ and RS intersect at O. If $\angle POS = 2 \angle SOQ$, then the four angles at O are:<br/>

Question 15 :
The angle between the lines $x+y-3=0$ and $x-y+3=0$ is $\alpha$ and the acute angle between the lines $x-\sqrt { 3y } +2\sqrt { 3 } =0$ and $\sqrt { 3x } -y+1=0$ is $\beta $. Which one of the following is correct?

Question 17 :
If l and m are intersecting lines, $l\! \parallel \! p \:and \:m\! \parallel \! q$, then which of the following statements is true?<br/>

Question 18 :
State true or false:<br/>If two lines intersect and if one pair of vertically opposite angles is formed by acute angles, then the other pair of vertically opposite angles will be formed by obtuse angles.<br/>

Question 19 :
Mark the correct alternative of the following.<br>If the measures of the angles of a triangle are $(2x)^o, (3x-5)^o$ and $(4x-13)^o$. Then the value of x is?<br>

Question 20 :
Punita wants to classify a triangle according to the given clue.<br>Two angles of the triangle are complementary.<br>What type of triangle is the one Punita wants to classify?

Question 21 :
Simplify: $\displaystyle\frac { \left( 8\displaystyle\frac { 1 }{ 3 } \times\displaystyle\frac { 1 }{ 5 }&#160; \right) -\left( 2\displaystyle\frac { 1 }{ 3 } \div 3\displaystyle\frac { 1 }{ 2 }&#160; \right)&#160; }{ \left( \displaystyle\frac { 7 }{ 10 } \,of\, 1\displaystyle\frac { 1 }{ 4 }&#160; \right) +1\displaystyle\frac { 1 }{ 10 } -\left(\displaystyle \frac { 2 }{ 5 } \div \displaystyle\frac { 5 }{ 6 }&#160; \right)&#160; } $<br/><br/>

Question 23 :
In the numeration system with base $5$, counting is as follows : $1, 2, 3, 4, 10, 11, 12, 13, 14, 20$,____. The number whose description in the decimal system is $69$, when described in the base $5$ system, is a number with:

Question 24 :
Evaluate the following:$ 0.8 \times \displaystyle \dfrac {\dfrac {7}{12}}{\dfrac {5}{24}} $.<br/>

Question 28 :
Classify the following expression as a monomial,a binomial or a trinomial : $4mn+7$

Question 29 :
Add : 3$p^{2}q^{2}$ - 4pq + 5, - 10$p^{2}q^{2}$, 15 + 9pq + 7$p^{2}q^{2}$

Question 30 :
Classify into monomials, binomials and trinomials: - 1 + x + $x^{2}$

Question 32 :
From the sum of 3x - y + 11 and - y - 11, subtract 3x - y - 11.

Question 33 :
Identify the term which contain x and give its coefficient in $12xy^2+25$.

Question 34 :
Classify into monomials, binomials and trinomials: - x + y - xy

Question 35 :
Get the algebraic expression in the following case using variables, constants and arithmetic operations. One - fourth of the product of numbers p and q.

Question 36 :
Identify the numerical coefficients of terms (other than constants) in expression: 2 ( l + b)

Question 37 :
State whether a given pair of terms is of like or unlike terms. 14xy, 42yx