Sum of square of three consecutive positive odd numbers is 155. Find the sum of the numbers. 

Find minimum possible value of expression $x^{2}$– 5x + 6 

Find the coefficient of $x^{3}$ in expansion of $\left(\left(\right. 1 + 2 x \left.\right)\right)^{12}$. 

If the coefficient of 2nd, 3rd and 4th term in the expression of (1 + x)n are in arithmetic progression, find value of (n). 

If one root of the equation (x2 – Kx – 22) = 0 is –2. Find the value of K. 

$\alpha$ and $\beta$ are roots of equation x2 – 5x + 6. Which of the following equation will have roots as $\frac{1}{\alpha}$ and $\frac{1}{\beta}$. 

If roots of equation k2 – 5K + 1 = 0 are (a) and (b) then find the equation whose roots are (2a + 1) and (2b + 1). 

Find a and b if product of and sum of roots of equation 2x2 + ax + b = 0 are 5 and 6 respectively. 

Which of the following can be the value of (K) for which the system of equation x2 + 5x + 9 = 0 and 2x2 + kx + 11 = 0 has infinite number of solution. 

A quadrilateral of perimeter 40 cm can have maximum area equal to : 

F(1) = 0 

F(2) = 1 

F(3) = 4 

F(4) = 9 

Find sum of F(1) + F(2) + F(3) + ……..F(27) 

If (x) is a positive integer, for how many values of (x) will the expression $\frac{16 x^{2} + 7 x + 6}{x}$ be an integer? 

What is the smallest possible value of $x + \frac{8}{x}$, if (x) can have real values only? 

If $\left(\left(\right. \frac{a}{b} \left.\right)\right)^{2 x - 3} = \left(\left(\right. \frac{b}{a} \left.\right)\right)^{x - 9}$, then x is equal to 

Find the largest value of (x) which satisfies the equation 2x2 – 7x + 6 = 0.