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

If a and b are both natural numbers and a^b = 289, then find the value of (a – 3)^b–1?

F(g(x))=2 $\left|\right. g \left(\right. x \left.\right) \left|\right.$, g(x)= $x^{2}$,find f(g(x)) for x=-3.5 

What is the number of digits in 432⁸ if log 3 = 0.4771 and log2 = 0.301?

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

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

Which state has the highest inflation among the given states?

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%. 

What is the degree of the polynomial 3x³ + 3 + 6x = 12x + $\frac{3}{x}$?

If the graph of the function f(x) is given below, what will be the graph of the function –f(x)? 

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

What was the population of the state (A) in 1999? 

I. The population of state ‘A’ increases every year by 20%. 

II. The population of state ‘A’ in 1999 was 172.8% of its population in 1996. 

Simplify : $\frac{\sqrt{x}}{50}=\frac{32}{x^{3/2}}$

The CPI of Delhi is by what percentage more than that of Mizoram?

Find the percentage change in the percentage profit of MGF Megacity from 2010 to 2011.