211.

Let
f(x) = ëx^{2}/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) = x^{2} + 1 and g(x) = x +
2 are functions. Real numbers to Real numbers then g o
f is defined as
(a)

x^{2}
+ 4x – 5

(b)

x^{2}
+ 3

(c)

x^{2}
– 4x + 5

(d)

x^{2}
+ 4x + 5

(e)

–x^{2}
+ 4x – 5.




The
finitestate machine with no output is called
(a)

Kleene
machine

(b)

Finite
machine

(c)

Outputfree
machine

(d)

Finitestate
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)

Nonterminals

(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
rcombinations 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.



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