Question 1 :
The value of $0.645 \times 0.645 + 2 \times 0.645 \times 0.355 + 0.355 \times 0.355$ is
Question 3 :
A two digit number is such that the product of its digit is $18$. When $63$ is subtracted from the number, the digits interchange their places. Find the number.
Question 7 :
The difference between two positive numbers is $4$ and difference between their cubes is $316$. Find their product
Question 8 :
Find the value of 'a' in $4x^{2}\, +\, ax\, +\, 9\, =\, (2x\, -\, 3)^{2}$
Question 9 :
Two positive numbers $\displaystyle x$ and $\displaystyle y$ are such that $\displaystyle x > y$. If the difference of these numbers is $\displaystyle 5$ and their product is $\displaystyle 24$, find sum of these numbers<br/>
Question 12 :
If $a = \dfrac{1}{3 - 2\sqrt{2}}, b = \dfrac{1}{3 + 2\sqrt{2}}$, then the value of $a^{3} + b^{3}$ is<br/>
Question 13 :
If $\displaystyle \dfrac{x^{2} + 1}{x} = 3\dfrac{1}{3}$ and $\displaystyle x > 1$; find the value of $\displaystyle x^{3} - \dfrac{1}{x^{3}}$
Question 14 :
Use the product $ (a+b)(a-b) = a^2-b^2$ to evaluate:<br/>$8.3\times 7.7 $<br/>
Question 16 :
The value of the polynomial $5x^{3} + 5x^{2} + 4x + 3$ when $x = -1$ is
Question 20 :
In the expansion of $(x-1)(x-2) .... (x-18),$ the coefficient of $x^{17}$ is
Question 23 :
If $\displaystyle P=3x-4y-8z,\:Q=-10y+7x+11z$ and $\displaystyle R=19z-6y+4x$, then $P - Q + R$ is equal to
Question 25 :
What should be taken away from $3x^2-4y^2+5xy+20$ to get $ -x^2-y^2+6xy+20$.
