Question 2 :
Solve the following pair of equations by the elimination method and the substitution method:<br/>$3x - 5y - 4 = 0$ and $9x = 2y + 7$<br/>
Question 3 :
State whether the following statement is true or false.The following number is irrational<br/>$7\sqrt {5}$
Question 4 :
For finding the greatest common divisor of two given integers. A method based on the division algorithm is used called ............
Question 5 :
Find the Quotient and the Remainder when the first polynomial is divided by the second.$-6x^4 + 5x^2 + 111$ by $2x^2+1$
Question 6 :
If $\alpha$ and $\beta$ are the zeros of the polynomial $f(x)=6x^2-3-7x$, then $(\alpha+1)(\beta+1)$ is equal to<br/>
Question 7 :
Evaluate: $\displaystyle \frac { 35\left( x-3 \right) \left( { x }^{ 2 }+2x+4 \right)  }{ 7\left( x-3 \right)  } $
Question 8 :
If the sum of $n$ terms of an AP is $\displaystyle { 3n }^{ 2 }-n$ and its common difference is $6$, then its first term is 
Question 9 :
Let $m$ and $n$ $(m<n)$ be the roots of the equation $x^2-16x+39=0$. If four terms $p,q,r$ and $s$ are inserted between $m$ and $n$ form an $AP$, then what is the value of $p+q+r+s?$
Question 10 :
Consider two arithmetic series : <br>$\begin{array} { l } { A _ { 1 } : 2 + 9 + 16 + 23 + \ldots \ldots \ldots + 205 } \\ { A _ { 2 } : 5 + 9 + 13 + 17 + \ldots \ldots \ldots + 161 } \end{array}$<br>then the number of terms common to the two series is
Question 12 :
If the distance between the points $(4, p)$ and $(1, 0)$ is $5$, then the value of $p$ is:<br/>
Question 13 :
In what ratio is the line segment joining the points $(4, 6)$ and $(-7, -1)$ Is divided by $X$-axis ?
Question 16 :
If $\displaystyle \sec 2A=\text{cosec } \left ( A-42^{\circ} \right )$ where $2A$ is acute angle, then value of $A$ is
Question 17 :
If $3x cosec 36^{\circ} = \sec 54^{\circ}$, then the value of $x$ is
Question 19 :
The value of the expression $\displaystyle 1\, - \,\frac{{{{\sin }^2}y}}{{1\, + \cos \,y}}\, + \frac{{1\, + \cos \,y}}{{\sin \,y}}\, - \,\frac{{\sin \,y}}{{1\, - \cos \,y}}$ is equal to 
Question 20 :
A bulb is taken out at random from a box of 600 electricbulbs that contains 12 defective bulbs. Then theprobability of a non-defective bulb is
Question 21 :
The probability of guessing the correct answer to a certain test is $\displaystyle\frac{x}{2}$. If the probability of not guessing the correct answer to this questions is $\displaystyle\frac{2}{3}$, then $x$ is equal to ______________.
Question 22 :
Two dices are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Question 23 :
The odds that a book will be favorably reviewed by three independent critics are $5$ to $2,$ $4$ to $3$ and $3$ to $4$ respectively. What is the probability that of the three reviews a majority will be favorable?<br/>
Question 24 :
There are only three events $A,B,C$ one of which must and only one can happen; the odds are $8$ to $3$ against $A,5$ to $2$ against $B$; find the odds against $C$
Question 25 :
A fair coin is flipped $5$ times.<br/> The probability of getting more heads than tails is $\dfrac{1}{2}$<br/><br/>