211.
|
Let
f(x) = ëx2/2û. Find f(s) if S = {1, 3, 5, 7, 11}.
(a)
|
f(s) = {0, 4,
12, 60}
|
(b)
|
f(s) = {0, 4,
12, 24}
|
(c)
|
f(s) = {0,
12, 24, 60}
|
(d)
|
f(s) = {1, 4,
12, 24, 60}
|
(e)
|
f(s) = {0, 4,
12, 24, 60}.
|
|
|
|
|
Let f(x) = x2 + 1 and g(x) = x +
2 are functions. Real numbers to Real numbers then g o
f is defined as
(a)
|
x2
+ 4x – 5
|
(b)
|
x2
+ 3
|
(c)
|
x2
– 4x + 5
|
(d)
|
x2
+ 4x + 5
|
(e)
|
–x2
+ 4x – 5.
|
|
|
|
|
The
finite-state machine with no output is called
(a)
|
Kleene
machine
|
(b)
|
Finite
machine
|
(c)
|
Output-free
machine
|
(d)
|
Finite-state
automata
|
(e)
|
Moore machine.
|
|
|
|
|
The
propositions are logically equivalent if
(a)
|
p → q is a
tautology
|
(b)
|
q → p is a
tautology
|
(c)
|
p ↔ q is a
tautology
|
(d)
|
¬ p ↔ ¬ q is
a tautology
|
(e)
|
p ¯ q is a tautology.
|
|
|
|
|
Let
Universal Set, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Which
of the following corresponds to the bit string of the Set A = {1, 3, 4, 6, 8,
10}?
(a)
|
0 1 1 1 0 0 1
1 1 1
|
(b)
|
1 0 1 1 0 1 0
1 0 1
|
(c)
|
0 1 1 1 0 0 1
0 0 1
|
(d)
|
0 1 1 1 1 0 1
1 1 0
|
(e)
|
0 1 1 1 0 0 1
1 1 0.
|
|
|
|
|
The
symbols of Vocabulary which cannot
be replaced by other symbols are called
(a)
|
Terminals
|
(b)
|
Non-terminals
|
(c)
|
Sentence
|
(d)
|
Productions
|
(e)
|
Language.
|
|
|
|
|
From
the following choose the decimal expansion of the integer that has
(101011110)2 as its binary expansion.
(a)
|
350
|
(b)
|
351
|
(c)
|
352
|
(d)
|
353
|
(e)
|
354.
|
|
|
|
|
The
binary expansion of 244, Choose from the following:
(a)
|
1111 0000
|
(b)
|
1111 0010
|
(c)
|
1111 0100
|
(d)
|
1111 0001
|
(e)
|
1111 1000.
|
|
|
|
|
The
r-combinations from a set with “n” elements when repetitions of elements are
allowed
(a)
|
C (n + r + 1,
r)
|
(b)
|
C(n + r –1,
r)
|
(c)
|
C(n + r, r –
1)
|
(d)
|
C(n + r – 1,
r – 1)
|
(e)
|
C(n + r + 1,
r + 1).
|
|
|
|
|
Which
of the following statements is true?
(a)
|
Among any
group of 367 people there must be at least one with the same birthday
|
(b)
|
Among any
group of 367 people there must be at least two with the same birthday
|
(c)
|
Among any
group of 367 people there must be at most one with the same birthday
|
(d)
|
Among any
group of 367 people there must be at most none with the same birthday
|
(e)
|
Among any
group of 367 people there must be exactly 2 with the same birthday.
|
|
|
No comments :
Post a Comment