If f(x) = 2x+4 and g(x) = x+4, find the value of g(f(f(3)). 

If the sum of $\frac{p}{q}$ and its reciprocal is – 1 and both p and q are non-zero real numbers, then find the value of p³ – q³.

What will be the nature of roots of the equation whose graph has been given below? 

If a function is defined as f(x) = min(x-4, 4-2x), then the value of x for which the function attains the maximum value. 

Find the minimum area bounded by the curve $\left|\right. x \left|\right. \text{ } + \left|\right. y \left|\right. \text{ } \geq 2$ 

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

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

If the income of both the malls is equal in the year 2012, find the ratio of expenditure of MGF Megacity to that of Central Mall?

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 

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

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

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

The ages of Karamchand and Gurmeet are in the ratio of 7:5. What is the age of Karamchand? 

I. The Ages of Karamchand and Gurpreet are in the ratio of 10:7 

II. After 5 years the ratio of Karamchand’s to Gurmeet’s age will be 6:5 

What is the cost of 7 pens? 

I. Cost of 4 pens and 3 notebooks is Rs 68. 

II. Cost of 1 Notebook, 3 stapler and 5 pens is Rs 147. 

III. Cost of 1 pen 2 notebook is Rs 32. 

$$\frac{{2}^{\mathrm{x}\mathrm{ }–\mathrm{ }1}\mathrm{ }+\mathrm{ }{2}^{\mathrm{x}}}{{2}^{\mathrm{x}+\mathrm{ }1}\mathrm{ }–\mathrm{ }{2}^{\mathrm{x}}}$$ = $$\frac{3}{2}$$