# Math for Computer science Questions and Answers 221 to 230

## Math for Computer science

### Questions 221 to 230

221.
What is the probability that a card selected from a deck is a king?
 (a) 1/4 (b) 1/52 (c) 4/52 (d) 2/52 (e) 3/52.

222.
What is the probability that a positive integer not exceeding 130 selected at random is divisible by 4?
 (a) 3/100 (b) 30/100 (c) 31/100 (d) 33/100 (e) 32/100.

223.
What is the probability that a positive integer selected at random from the set of positive integers not exceeding 11 is divisible by 5 or 4?
 (a) 4/10 (b) 5/10 (c) 2/10 (d) 3/10 (e) 1/10.

224.
The r-permutations from a set with “n” elements when repetitions of elements are allowed
 (a) n × r (b) n + r (c) n – r (d) n / r (e) nr.

225.
Which of the following statements is false?
 (a) A Vocabulary V is a finite, non empty set of elements (b) A word over V is a string of finite length of elements of V (c) The set of all words over V is denonted by V* (d) The empty string is denoted by (e) A language over V is not a sub set of V*.

226.
The statement p(k) is true for a fixed +ve integer ‘k’, is called
 (a) Inductive step (b) Inductive hypothesis (c) Basic step (d) Strong induction (e) Rule of inference.

227.
Rule of Inference of the form is known as
 (a) Modus Ponens (b) Modus Tollens (c) Hypothetical Syllogism (d) Disjunctive Syllogism (e) Resolution.

228.
For a set A, the set  is called
 (a) Conjunction of A (b) Disjunction of A (c) Complement of A (d) Composition of A (e) Closure of A.

229.
The symmetric difference of A and B denoted by contains
 (a) Those elements in both A and B (b) Those elements in either in A and in B and also both in A, B (c) Those elements in either in A and in B but not in both of A, B (d) Those elements in Set A, Universal Set (e) Those elements in Set B, Universal Set.

230.
A function that assigns each element to a particular element is called
 (a) Inverse function (b) Identity function (c) Constant function (d) One-one function (e) Onto function.