Plz give the answers ...

1. In a binary max heap containing n numbers, the smallest element can be
found in time ??


2. The number of total nodes in a complete balanced binary tree with n
levels is,
  a)3^n + 1
  b)2^(n+1) - 1
  c) 2^n + 1
  d) none of above

3. In a country where everyone wants a boy, each family continues having
babies till they have a boy. After some time, what is the proportion of boys
to girls in the country? (Assuming probability of having a boy or a girl is
the same)
  a) 1:2
  b) 2:1
  c)1:1
  d)1:4


4. A parallel program consists of 8 tasks – T1 through T8. Each task
requires one time step to be executed on a single processor. Let X -> Y
denote the fact that task X must be executed before task Y is executed.
Suppose only the tasks X, Y are to be executed. On any multiprocessor
machine it would require at least 2 time steps since in the first step X
could be executed, and Y could be executed in the next time step (since it
requires X to complete first). Now, suppose the following dependencies exist
between the tasks T1 – T8:

T1 -> T2

T2 -> T3

T3 -> T6

T2 -> T4

T4 -> T7

T2 -> T5

T5 -> T8

What is the minimum number of time steps required to execute these 8 tasks
on a 2 processor machine and a 4 processor machine?


a)4 & 2

b)5 & 2

c)5 & 4

d)6 & 2

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