PGDBA 2017 Question Paper

Instructions

Answer the questions based on the following information.
The following table gives the urban population of a country and the percentages of total population in rural and urban areas as recorded in the 10-years censuses during 1901-81.
Table 1. Urban and rural population 1901-1981


PGDBA 2017 - Question 21


The percentage increase in total population of the country between 1901 and 1981 is

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PGDBA 2017 - Question 22


The percentage increase in density of population in the urban areas between 1951 and 1981 is

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PGDBA 2017 - Question 23


The largest rate of increase in urban population in a decade during 1901-1981 occurred in

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PGDBA 2017 - Question 24


The rate of urban population growth per year over the period 1901-81 is about

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PGDBA 2017 - Question 25


The smallest rate of increase in urban population in a decade during 1921-1961 occurred in

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Instructions

For the following questions answer them individually

PGDBA 2017 - Question 26


If $$a \in R$$, then the equation $$x^2 + x + a = 0$$ and $$x^2 + ax + 1 = 0$$ have a common real root for

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PGDBA 2017 - Question 27


A man standing x metres north of A tower finds the angle of elevation of as top to be 30° .He then starts walking towards the tower. After walking a distance of x/2 metres, he turns east and walks another x/2 metres. Then he turns south and walks another x/2 metres. The angle of elevation of the top of the tower from his new position is

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PGDBA 2017 - Question 28


Let the equations of two circles $$C_1$$ and $$C_2$$ be given by $$x^2 + y^2 - 4x - 4y + 6 = 0$$ and $$x^2 + y^2 - 10x - 10y + k = 0$$ respectively, where $$k$$ is a constant. Suppose that $$C_1$$ and $$C_2$$ have exactly two common tangents. Then possible values of $$k$$ are

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PGDBA 2017 - Question 29


Consider the function

$$f(x) = \begin{cases}2x -1 & if & x < -1\\x^2 + 1 & if & -1\leq x \leq 1\\x + 1 & if & x > 1.\end{cases}$$

Then

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PGDBA 2017 - Question 30


The sum of the first $$50$$ terms of the series: $$3 + 7 + 13 + 21 + 31 + 43 +...$$ is

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