Math for Computer science
Questions 131 to 140
131.

A function from
set A to set B is onetoone but not onto, then the function is known as


132.

What is the
probability that the numbers on two dice are odd when they are rolled?


133.

The member of
the set {x/x is a cube of an integer less than 100}


134.

is
given by


135.

Probability of
the impossible event of a Random Experiments always equals to


136.

A relation R is
said to be antisymmetric Relation


137.

The elements of
the relation whose matrix is given by MR =
defined
on a set A = {a, b, c} is


138.

Let R = {(a, a)
(c, a) (b, a) (b, b)} and S = {(a, b) (b, c) (c, a) (c, c)} then RoS is given
by


139.

Let V = {S, A,
B, a, b} and T = {a, b} Find the language generated by the grammer {V, T, S,
P} when the set p of production consists of S® aBA, B®b,
S ® aA, A®a.


140.

The G.C.D of relatively
prime numbers is

Answers
131.

Answer : (b)
Reason : By definition of injenction function

132.

Answer : (d)
Reason : There are 9 favourable cases for the given
event and there are 36 total numbers of cases in the experiment. So, the
probability is 9/36.

133.

Answer : (b)
Reason : {13 = 1, 23 = 8, 33 = 27, 43 = 64}

134.

Answer : (d)
Reason : By definition of multiplication theorem of
probability

135.

Answer : (a)
Reason : By definition of impossible event.

136.

Answer : (a)
Reason : By definition of Anti symmetric relation.

137.

Answer : (d)
Reason : By definition of Matrix representation of a
relation.

138.

Answer : (e)
Reason : RoS = R[S(x)] " x Î S
RoS = {(a, a) (a,
b), (b,a), (c,a)}

139.

Answer : (e)
Reason :
L (G) = {aba, aa}

140.

Answer : (b)
Reason : by the definition of relatively primes

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