If$2^{x + 6} - 6 = 2^{x + 4}$, find the value of$x$. 

If $a + \frac{1}{a} = 2.$ Which of the following is  the value of $a^{2} + \frac{1}{a^{2}} = ?$ 

What is the height of a triangle? 

I. The area of the triangle is 20 times its base. 

II. The perimeter of the triangle is equal to the perimeter of a square of 10 cm side. 

If α and β are the roots of equation $x^{2} + 14 x - 51$, find the equation whose roots are 2α and 2β. 

What is the overall percentage increase in sales of beer in India from 2017 to 2018?

Find the difference between total number of students admitted in Marketing and student admitted in operations from 2011 to 2017?

The minimum value of px² + qx + r = $\frac{10}{13}$ at x = $\frac{5}{8}$. Find the value of the expression at x = 3, if the value of the expression at x = 1 is 1.

What is the number of digits in 72⁹ if log 2 = 0.301 and log 3 = 0.4771?

What was the amount of profit earned? 

I. 10% discount was offered on the labeled price. 

II. Had there been no discount, profit would have been 30%. 

III. The selling price was more than the cost price by 20%. 

How many real roots of the equation 2|x|² – 9|x| – 35 = 0 exists?

In which of the following years, the increase in number of students over the previous year was maximum?

The expenditure of  Central Mall is what percentage of its income in the year of 2012?

 If $\sqrt{x} + \frac{1}{\sqrt{x}} = 3$, find the value of $x^{2} + \frac{1}{x^{2}}$. 

What will be the nature of discriminant and “a” for the quadratic equation whose graph has been given below? 

If log₆₄x + log₁₆x + log₄x = $\frac{11}{3}$, then find the value of x.