Question Text
Question 1 :
If one root of $x^{2}+ax+8=0$ is $4$ and the equation $x^{2}+ax+b=0$ has equal roots, then $b=$
Question 2 :
The discrimination of the equation $x^2 + 2x\sqrt3 + 3 = 0$ is zero. Hence, its roots are:
Question 3 :
The value of $a$ for which one root of the quadratic equation $ (a^{2}-5a+3)x^{2}+(3a-1)x+2=0 $ is twice as large as the other is 
Question 4 :
A tradesman finds that by selling a bicycle for Rs. 75, which he had bought for Rs. $x$, he gained $x$%. Find the value of $x$.
Question 5 :
The mean salary paid per week to $1000$ employees of an establishment was found to be Rs. $900$. Later on, it was discovered that the salaries of two employees were wrongly recorded as Rs. $750$ and Rs. $365$ instead of Rs. $570$ and Rs. $635$. Find the corrected mean salary.
Question 6 :
The median and mode of a frequency distribution are $525$ and $500$ then mean of same frequency distribution is
Question 7 :
Let $a_{1},\ a_{2},\ a_{3},\ \ldots,\ a_{100}$ be an arithmetic progression with $a_{1}=3$ and $S_{p}$  is sum of 100 terms . For any integer $n$ with $1\leq n \leq 20$, let $ m=5n$. If $\dfrac{S_{m}}{S_{n}}$ does not depend on $n$, then $a_{2}$ is<br/>
Question 8 :
In an A.P. of $n$ terms, $a$ is the first term, $b$ is the second last term and $c$ is the last term, then the sum of all of its term equals
