Questions and Answers Math for Computer science 91 to 100
91.

Let p, q
be two inputs. If p is true and q is false then the output is false is given
by


92.

The
fallacy of denying the hypothesis is given by


93.

A Rule of
inference of the form _{} is called


94.

If two events can not occur simultaneously
then the events are called


95.

A coin has
been tossed for 5 times then the total number of elements in the sample space
are


96.

A man X hit
the target for 3 times out of 8 attempts, another man Y hit the target for 5
times out of 8 attempts. What is the probability that both will hit the
target?


97.

Inductive
Hypothesis means


98.

Second
principle of mathematical induction is also known as


99.

Binary
equivalent of (1023)_{10} is


100.

Decimal
Equivalent of (10 1011 0101)_{ 2} is

Answers
91.

Answer : (c)
Reason: By definition of implication


92.

Answer : (a)
Reason: By definition of denying the hypothesis


93.

Answer : (e)
Reason: By definition of exsistential generalization


94.

Answer : (b)
Reason: By definition of mutually exclusive events


95.

Answer : (d)
Reason: Each coin has 2 possible outcomes, it has
been tossed for 5 times. So total these are 2^{5} = 32 possible
outcomes.


96.

Answer : (a)
Reason: A : X hits the target
B : Y hits the
target
P (A) = _{};
P (B) = _{}
P (both will hit
the target) = P (A) . P (B) = _{}.


97.

Answer : (c)
Reason: By the definition of inductive Hypothesis


98.

Answer : (b)
Reason: By definition of strong induction


99.

Answer : (c)
Reason:


100.

Answer : (a)
Reason:
= 1.2^{0} + 1.2^{2} +
1.2^{4} + 1.2^{5} + 1.2^{7} + 1.2^{9}
= 1 + 4 + 16 + 32 + 128 + 512
=(693)_{10}

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