Math for Computer science
Questions 251 to 260
251.

The inverse
of p
→ q is


If the
power set of a set A has 32 elements, then no. of elements present in the set
A is


Transitive
closure of a relation R is


Floor [1/2
+ Ceil (3/2)] =


The
operator that has higher precedence over the others given in the options
below is


__________
displays the relationships between Input and output truth values of
propositions.


The
setbuilder form of B = {1, 8, 27, 64, 125} is


In a survey
out of 50 people, 20 watch cricket, 28 watch Olympics and 7 people watch
none. Find how many people watch both the games.


If there
are 110 people, then atleast ________ have last names starting with same
letter.


The Finite
State Automata where the output is determined by several possible next states
for each pair of input values are is called as

Answers
251.

Answer : (b)
Reason: by the definition of inverse of an implication

Answer : (e)
Reason: 2^{6 } = 32 so the number of elements in the set are 6.
 
Answer : (d)
Reason: by the definition of transitive closure
 
Answer : (b)
Reason: Ceil (3/2) = 2
1/2 + Ceil (3/2) = 2.5
Floor [1/2 + Ceil (3/2)] = Floor [2.5] = 2
 
Answer : (a)
Reason: by the order of precedence
 
Answer : (a)
Reason: by the definition of truth tables
 
Answer : (c)
Reason: all the elements in the set are cubes of first five natural numbers
so The setbuilder form of B = {1,8,27,64,125} is {n^{3}  n∈ N and n≤5}
 
Answer : (a)
Reason: out of 50 the number of people who do ot watch sprots are 7 so the number of people who watch sports are 43.
people watch both the games = 20+2843 = 5
 
Answer : (d)
Reason: by the pigeon hole principle Ceil (110 / 26 ) = Ceil (4.23 ) = 5
 
Answer : (c)
Reason: by the definition of Non Deterministic Finite State Automata

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