Instructions

Answer the questions based on the following information.

The following bar diagram represents the number of daily wages (in rupees) of 100 labourers in different wage classes on a construction site. Here the class interval a-b includes all wages (in rupees) greater than or equal to a and less than b except for the interval 360-400, where both the end points are included.

**No.of labourers **

** Wages in Rupees**

Question 3

The maximum wage (in Rupees), such that at least 50% of the labourers definitely earn more than that, is

Instructions

Answer the questions based on the following information.

The following table gives month-wise arrivals of foreign tourists in India in the years 2016 & 2017.

Table: Month-wise Arrivals of Foreign Tourists (in Thousands) in India (2016-2017)

Question 4

In which month of 2017 is the percentage increase over the corresponding month of the previous year the minimum?

Instructions

For the following questions answer them individually

Question 6

If $$ f(x) = \log_{e}({\frac{2 - x}{9 - x^2}})$$, then the domain of the function $$f$$ is

Question 7

If the system of linear equations

$$2x+ y+7z = a$$

$$6x-2y+11z = b$$

$$2x-y+3z = c$$

has infinite number of solutions, then $$a, b, c$$ must satisfy

Question 8

If $$\alpha, \beta$$ are the roots of the equation $$x^2 + 3x - 3$$ , then the value of $$(\alpha + 1)^{-1} + (\beta +1)^{-1}$$ is equal to

Question 9

The number of real roots of the equation

$$(e^x + e^{-x})^3 + 3(e^x + e^{-x})^2 + 3(e^x + e^{-x}) = 7$$

Question 10

Let $$x = -\frac{1}{1!}\cdot\frac{3}{4} + \frac{1}{2!}\cdot(\frac{3}{4})^2 -\frac{1}{3!}\cdot(\frac{3}{4})^3 +$$.... and $$y = x - \frac{x^2}{2} + \frac{x^3}{3} - $$..... then the value of y is

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