Math for Computer science
Questions 271 to 280
271.

If the codomain of
a function is a subset of real numbers then the function is called
(a) real function (b) real variable function (c) real valued function
(d)
real codomain function (e) real range function.

If R is a relation
represented by the matrix M_{R }= {(0 1 1), (1 1 0), (1 0 1)} then
matrix representation of R^{2 } is
(a) {(1 0 1), (1 1 0),(0 1 1)} (b) {(1 0 0), (0 1 0), (0 0 1)}
(c)
{(0 0 0), ( 1 1 1),( 1 1 1)} (d) {(1 1 1), ( 1 1 1),( 1 1 1)}
(e)
{(1 0 1), (0 1 1), (1 0 1 )}.


Which of the
following relation is not an equivalence relation?
(a) x is perpendicular to y (b) x is parallel to y
(c)
x  y is an even integer (d) The relation of similarity of triangles
(e) x = y.


An experiment is
conducted any number of times under identical conditions whose outcome cannot
be predicted with certainty, before the experiment is run is called a
(a) sampling experiment (b)
random experiment
(c)
uncertain experiment (d) vague experiment (e) seldom experiment.


A teacher chooses a
student at random from a class of 30 girls. What is the probability that the
student chosen is a girl?
(a) 0 (b) 1 (c) 1/2 (d) 1/30 (e) cannot say.


Series of type f_{n}
= f_{n1} + f_{n2 } where f_{0}^{ }= 0 and f_{1}^{
}= 1 is called as
(a) Fibonacci Series (b)
Lemma Series (c) Lucas Series
(d)
Lambda Series (e) Laplace series.


What is the
decrypted message of “ EPP XLI FIWX ” if it is encoded
using the encryption key (p–4) mod
26
(a) YOU ARE BEST (b) ALL ARE GOOD (c)
ALL THE BEST
(d)
ALL THE WISH (e) ALL
THE GOOD.


An integer s is an
inverse of a modulo m if
(a) a _{} s (mod m) (b) s _{} a (mod m) (c)
s.a _{} 1 (mod m)
(d)
m.s _{} 1 (mod a) (e) m.a _{} 1 (mod s).


The least number of
objects required N, so that at least r of them are distributed in one of the
k boxes available is
(a) N =
k(r1) (b) N
= k.r
(c) N = k.(r – 1) 1
(d) N = k.r + 1 (e) N
= k.(r – 1) +1.


inverse of 3 modulo
7 is
(a)
– 2 (b) 5 (c) 4
(d)
both (a) and (b) (e) both (b) and (c).

Answers
271.

Answer : (c)
Reason : From the definition of the real valued
function.

Answer : (d)
Reason : M_{R2 }= {(0 1 1), (1 1 0), (1 0 1)}×
{(0 1 1), (1 1 0), (1 0 1)}= {(1 1 1), ( 1 1 1),( 1 1 1)}


Answer : (a)
Reason : x is perpendicular to y is not equivalent
because a is not perpendicular to x. som this relation si not reflexive. So
not equivalent.


Answer : (c)
Reason : From the definition if uncertain event.


Answer : (b)
Reason : Because it is a class of 30 girls the student
chosen will be certainly a girl. So the probability of choosing a girl is 1.


Answer : (a)
Reason : From the description of Fibonacci series.


Answer : (c)
Reason : Because the encryption key is (p–4)mod 26 e is substituted with a, p
is substituted with l and likewise so the decrypted message is all the best.


Answer : (c)
Reason : If s.a
_{} 1 (mod m) then s is the inverse of a modulo
m


Answer : (e)
Reason : By the generalized definition of pigeonhole
principle.


Answer : (d)
Reason : Use Euclidean method to find the inverse of 3
modulo 7. the answer is –2. so the numbers of the form 7p–2 becomes the
solution.

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