Logical Connectives
Trending Questions
Q. State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer. (i) Sun rises or Moon sets. (ii) To apply for a driving licence, you should have a ration card or a passport. (iii) All integers are positive or negative.
Q. The sum of principal arguments of complex numbers 1+i, -1+√3, -√3-i, √3-i, i, -3i, 2-1 is
Q. Statement - 1 : The statement (p∨q)∧∼p and ∼p∧q are logically equivalent.
Statement - 2 : The end columns of the truth table of both statements are identical.
Statement - 2 : The end columns of the truth table of both statements are identical.
- Statement - 1 is false, Statement - 2 is true
- Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
- Statement - 1 is true, Statement - 2 is false
- Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
Q. Write each of the following statement in the form "if-then"
(i) You get a job implies that your credentials are good
(ii) The Banana trees will bloom if it stays warm for a month
(iii) A quadrilateral is a parallelogram if its diagonals bisect each other
(iv) To get A+ in the class it is necessary that you do the exercises of the book
(i) You get a job implies that your credentials are good
(ii) The Banana trees will bloom if it stays warm for a month
(iii) A quadrilateral is a parallelogram if its diagonals bisect each other
(iv) To get A+ in the class it is necessary that you do the exercises of the book
Q. 51.Multi correct type In how many different ways can three persons A, B, C having 6, 7, 8 one rupee coins respectively donate Rs. 10 collectively A. 12C2 + 5C3 - 4C2 + 3C1 B. 12C2 - 5C3 - 4C2 - 3C1 C. 47 D. 73
Q. State whether the " Or" used in the following statements is "exclusive "or" inclusive Give reasons for your answer
(i) Sun rises or Moon sets
(ii) To apply for a driving licence you should have a ration card or a passport
(iii) All integers are positive or negative
(i) Sun rises or Moon sets
(ii) To apply for a driving licence you should have a ration card or a passport
(iii) All integers are positive or negative
Q.
Rewrite each of the following statements in the form "p if and only if q"
(i) p : If you watch television, then your mind is free and if your mind is free, then you watch television.
(ii) q : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
(iii) r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
Q. Write each of the following statement in the form “if-then”. (i) You get a job implies that your credentials are good. (ii) The Banana trees will bloom if it stays warm for a month. (iii) A quadrilateral is a parallelogram if its diagonals bisect each other. (iv) To get A + in the class, it is necessary that you do the exercises of the book.
Q. The Boolean expression ∼(p∨q)∨(∼p∧q) is equivalent to :
- q
- ∼q
- ∼p
- p
Q. The sum of principal arguments of complex numbers 1+i, -1+√3, -√3-i, √3-i, i, -3i, 2-1 is
Q. Consider R set of real numbers
Define a relation R1 on R as
R1 = { ( x, y ) / x, y contained in R such that x is greater than or equal to y (square ).
Is R1 a equivalence ??
Define a relation R1 on R as
R1 = { ( x, y ) / x, y contained in R such that x is greater than or equal to y (square ).
Is R1 a equivalence ??
Q.
In how many ways can 5 objects be divided into 2 persons?
