1
GATE CSE 2016 Set 2
+1
-0.3
In a quadratic function, the value of the product of the roots $$\left( {\alpha ,\beta } \right)$$ is $$4.$$ Find the value of $${{{\alpha ^n} + {\beta ^n}} \over {{\alpha ^{ - n}} + {\beta ^{ - n}}}}$$\$
A
$${n^4}$$
B
$${4^n}$$
C
$${2^{2n - 1}}$$
D
$${4^{n - 1}}$$
2
GATE CSE 2016 Set 2
+1
-0.3
Among $$150$$ faculty members in an institute, $$55$$ are connected with each other through Facebook® and $$85$$ are connected through WhatsApp®. $$30$$ faculty members do not have Facebook® or whatsApp® accounts. The number of faculty members connected only through Facebook® accounts is ______________.
A
$$35$$
B
$$45$$
C
$$65$$
D
$$90$$
3
GATE CSE 2016 Set 2
+1
-0.3

Choose the correct expression for $$f(x)$$ given in the graph.

A
$$f\left( x \right) = 1 - \left| {x - 1} \right|$$
B
$$f\left( x \right) = 1 + \left| {x - 1} \right|$$
C
$$f\left( x \right) = 2 - \left| {x - 1} \right|$$
D
$$f\left( x \right) = 2 + \left| {x - 1} \right|$$
4
GATE CSE 2016 Set 2
+1
-0.3
In a $$2 \times 4$$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?
A
$$21$$
B
$$27$$
C
$$30$$
D
$$36$$
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