PGDBA 2017 Question Paper

Instructions

For the following questions answer them individually

PGDBA 2017 - Question 41


If $$\alpha$$ and $$\beta$$ are two roots of the equation $$x^2 + x + 1 = 0$$, then the value of $$\alpha^{2017} + \beta^{2017}$$ is

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PGDBA 2017 - Question 42


The number of different solutions $$(x,y,z)$$ of the equation $$x + y + z = 10$$, where $$x, y$$ and $$z$$ are positive integers, is

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PGDBA 2017 - Question 43


In the $$xy$$-plane, the equation $$x^2 - y^2 = 2y + 1$$ represents a

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PGDBA 2017 - Question 44


There are 100 students in a class. in an examination, 50 of them failed in Mathematics, 45 failed in Physics and 40 failed in Biology. 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. The number of students failing in all the three subjects is

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PGDBA 2017 - Question 45


The point $$R (4,10)$$ lies on the curve $$C: y = x^2 - 6x + 18.$$ The tangent and normal to $$C$$ at $$R$$ meets the Y-axis at points $$P$$ and $$Q$$ respectively. A circle passes through the points $$P,Q$$ and $$R$$. The radius of this circle is

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PGDBA 2017 - Question 46


An equilateral triangle, having each side as a , has its corners cut away so as to form a regular hexagon. The area of the hexagon is

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PGDBA 2017 - Question 47


Let $$f(x) = a_0 + a_1 \mid x\mid +  a_2 \mid x\mid^2 + a_3 \mid x\mid^3$$, where $$a_0, a_1, a_2$$ and $$a_3$$ are constants. Which of the following statements is correct?

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PGDBA 2017 - Question 48


If $$P = \begin{bmatrix}a & b & c\\x & y & z\\p & q & r \end{bmatrix}$$ and  $$Q = \begin{bmatrix}-x & a & -p \\y & -b & q\\z & -c & r \end{bmatrix}$$ then

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PGDBA 2017 - Question 49


Let S = {1,2,...,100}. The number of nonempty subsets T of S such that the, product of numbers in T is even is

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PGDBA 2017 - Question 50


What is the sum of the interior angles at the vertices of a 5-pointed star as shown below? The star need not have sides of the same length.

Screenshot_48
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