1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Suppose a population A has 100 observations 101, 102,........, 200, and another population B has 100 observations 151, 152,......., 250. If VA and VB represent the variances of the two populations, respectively, then $${{{V_A}} \over {{V_B}}}$$ is
A
1
B
$${9 \over 4}$$
C
$${4 \over 9}$$
D
$${2 \over 3}$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Let $W$ denote the words in the English dictionary. Define the relation $R$ by

$R=\{(x, y) \in W \times W \mid$ the words $x$ and $y$ have at least one letter in common}. Then, $R$ is
A
reflexive, symmetric and not transitive
B
reflexive, symmetric and transitive
C
reflexive, not symmetric and transitive
D
not reflexive, symmetric and transitive
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as $$v = \alpha \sqrt x $$. The displacement of the particle varies with time as
A
t2
B
t
C
t1/2
D
t3
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A mass of $$M$$ $$kg$$ is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of $${45^ \circ }$$ with the initial vertical direction is
A
$$Mg\left( {\sqrt 2 + 1} \right)$$
B
$$Mg\sqrt 2 $$
C
$${{Mg} \over {\sqrt 2 }}$$
D
$$Mg\left( {\sqrt 2 - 1} \right)$$
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