Math for Computer science Questions and Answers 201 to 210

Math for Computer science

Questions  201 to 210



201.
(p Ú q) → q is a
(a)
Contingency
(b)
Contradiction
(c)
Tautology
(d)
Contrapositive
(e)
Inverse.

202.
The fallacy of affirming the consequent is denoted by
(a)
(b)
(c)
(d)
(e)
.

203.
From the following which is not the method of proof ?
(a)
Vacuous proof
(b)
Trivial proof
(c)
Indirect proof
(d)
Non-trivial proof
(e)
Direct proof.

204.
Let F(x) : x is a bird, P(x): x can fly.
The statement “All birds can fly” equivalent is
(a)
(b)
(c)
(d)
(e)
.

205.
Which of the following statements is false
(a)
ÆÎ power set of {0}
(b)
0Î power set of {Æ}
(c)
{0}Î power set of {0}
(d)
{Æ}Ì power set of {0}
(e)
Æ = power set of  Æ.

206.
Which of the following statements is false?
(a)
(b)
(c)
(d)
(e)
.

207.
Which of the following is Absorption law
(a)
(b)
(c)
(d)
B Ç (A È B) = A
(e)
.

208.
If E and F be the events with P(F) > 0. The conditional probability P(E | F) =
(a)
P( E Ç F) × P( F)
(b)
P( E Ç F) +  P(F)
(c)
P( E Ç F) – P(F)
(d)
P( E Ç F) /  P(F)
(e)
P(E È F) /  P(F).

209.
Determine which of the following functions from {a, b, c, d} to itself is one-to-one.
(a)
f(a) = b,  f(b) = a,  f(c) = c,                  f(d) = b
(b)
f(a) = a,   f(b) = a,  f(c) = c,                  f(d) = d
(c)
f(a) = a,   f(b) = b,  f(c) = c,                  f(d) = d
(d)
f(a) = b,  f(b) = c,  f(c) = c,                  f(d) = d
(e)
f(a) = c,   f(b) = d,  f(c) = c,                  f(d) = d.

210.
What is the probability of getting a tail when the coin is biased so that heads comes up twice as often as tails?
(a)
1/2
(b)
2/3
(c)
3/2
(d)
2/5
(e)
1/3.


Answers



Answer
201.
C
202.
C
203.
D
204.
D
205.
B
206.
C
207.
B
208.
D
209.
C
210.
E


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