Math for Computer science
Questions 131 to 140
131.
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A function from
set A to set B is one-to-one but not onto, then the function is known as
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132.
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What is the
probability that the numbers on two dice are odd when they are rolled?
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133.
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The member of
the set {x/x is a cube of an integer less than 100}
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134.
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is
given by
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135.
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Probability of
the impossible event of a Random Experiments always equals to
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136.
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A relation R is
said to be antisymmetric Relation
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137.
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The elements of
the relation whose matrix is given by MR =
defined
on a set A = {a, b, c} is
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138.
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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
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139.
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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.
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140.
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The G.C.D of relatively
prime numbers is
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Answers
131.
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Answer : (b)
Reason : By definition of injenction function
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132.
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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.
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133.
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Answer : (b)
Reason : {13 = 1, 23 = 8, 33 = 27, 43 = 64}
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134.
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Answer : (d)
Reason : By definition of multiplication theorem of
probability
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135.
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Answer : (a)
Reason : By definition of impossible event.
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136.
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Answer : (a)
Reason : By definition of Anti symmetric relation.
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137.
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Answer : (d)
Reason : By definition of Matrix representation of a
relation.
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138.
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Answer : (e)
Reason : RoS = R[S(x)] " x Î S
RoS = {(a, a) (a,
b), (b,a), (c,a)}
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139.
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Answer : (e)
Reason :
L (G) = {aba, aa}
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140.
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Answer : (b)
Reason : by the definition of relatively primes
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