Question Text
Question 1 :
If the number $243x51$ is divisible by 9, then the value of digit marked as $x$ would be<br/>
Question 2 :
The number of Four digit numbers formed by using the digits $0,2,4,5$ and which are notdivisible by $5 ,$ is
Question 3 :
How many positive integers less than $1001$ are divisible by either $2$ or $5$ or both?
Question 5 :
If $x+y = 9$ and $xy = 16$ , find the value of $(x^2 + y^2)$.
Question 6 :
If $x + \displaystyle \frac{1}{x} = a+ b$ and $x - \displaystyle \frac{1}{x} = a - b$, then
Question 8 :
If $x+y=a $ and $xy=b$, then the value of $\displaystyle \frac{1}{x^{3}}+\frac{1}{y^{3}} $ is
Question 10 :
Factors of $x^2 -14xy + 49y^2$ will be $(x - 7y) (x - 7y)$
Question 11 :
Simplify: $\displaystyle 18xy\left( 16{ x }^{ 2 }-25{ y }^{ 2 } \right) \div 3xy\left( 4x+5y \right) $
Question 12 :
The value of $\displaystyle \frac { 28xy\left( y-5 \right) \left( y+4 \right)  }{ 14y\left( y-5 \right)}$ is 
Question 13 :
Factorize $(a - b)^{5} + (b - c)^{5} + (c - a)^{5}$
