Question 1 :
The sum of three numbers is $92$. The second number is three times the first and the third exceeds the second by $8$. The three numbers are: 
Question 3 :
$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$ is equal to
Question 4 :
If $a=107,b=13$ using Euclid's division algorithm find the values of $q$ and $r$ such that $a=bq+r$
Question 5 :
Divide: $(6a^{5}+ 8a^{4}+ 8a^{3} +2a^{2}+26a +35)$ by $(2a^{2} + 3a +5)$<br/>Answer: $3a^{3} - 3a^{2} + a +7$
Question 6 :
If the roots of the equation $x^2 + 2bx + c = 0$ are $\alpha$ and $\beta$, then $b^2 - c$ is equal to
Question 7 :
Using long division method, divide the polynomial$4p^3-4p^2+6p -\displaystyle \frac{5}{2}$ by $2p-1$
Question 8 :
In triangle ABC, AB = AC = 8 cm, BC = 4 cm and P is a point in side AC such that AP = 6 cm. Prove that $\Delta\,BPC$ is similar to $\Delta\,ABC$. Also, find the length of BP.
Question 9 :
In $\triangle ABC \sim \triangle DEF$ such that $AB = 1.2\ cm$ and $DE = 1.4\ cm$. Find the ratio of areas of $\triangle ABC$ and $\triangle DEF$.
Question 10 :
$\Delta ABC \sim \Delta PQR$ and areas of two similar triangles are $64$sq.cm and $121$sq.cm respectively. If $QR=15$cm, then find the value of side BC.
Question 11 :
Three points $\left( {0,0} \right),\left( {3,\sqrt 3 } \right),\left( {3,\lambda } \right)$ from an equilateral triangle, then $\lambda $ is equal to
Question 12 :
Find the point on the x-axis which is equidistant from the points $(-2,5)$ and $(2, -3)$. Hence find the area of the triangle formed by these points<br>
Question 13 :
The point whose abscissa is equal to its ordinate and which is equidistant from $A(5,0)$ and $B(0,3)$ is
Question 14 :
If $\displaystyle \frac { \sin { \alpha  }  }{ \sin { \beta  }  } =\frac { \sqrt { 3 }  }{ 2 } $ and $\displaystyle \frac { \cos { \alpha  }  }{ \cos { \beta  }  } =\frac { \sqrt { 5 }  }{ 2 } ,0<\alpha ,\beta <\frac { \pi  }{ 2 } $, then
Question 16 :
If $5\cos { A } =4\sin { A } $, then $\tan { A=\_ \_ \_ } $
Question 17 :
If E and $\bar{E}$ denote the happening and not happeningof an event and$P\left ( \bar{E} \right )=\frac{1}{5}, P\left ( E \right )=$
Question 18 :
If odds in favour of a target are $2 : 5$, what is the probability of success?<br/>
Question 19 :
A man and his wife appear for an interview for two posts. The probability of the man's selection is $\dfrac{1}{5}$ and that of his wife selection is $\dfrac{1}{7}$. The probability that at least one of them is selected, is:
Question 20 :
A number is randomly selected from the set $\left \{6, 7, 8, 8, 8, 10, 10, 11\right \}$. Find the probability the number will be less than the mean.
Question 21 :
The minute hand of a clock is 14 cm long If it moves between 8:00 AM and 8:45 AM What is the area covered by it on the face of the clock?
Question 22 :
If the sector of a circle of diameter $14 cm$ subtends an angle of $30^{\circ}$ at the centre, then its area is
Question 23 :
If circumference of a circle is $110\ cm$, then its diameter is <br/>
