12 - Maths - Unit 9 - Discrete Mathematics
20 Questions
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Prepared by, R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK-605651 ; &nbs p; & www. Padasalai. Net
Questions and Answers
- 1.Which of the following are statements? (i) May God bless you. (ii) Rose is a flower. (iii) Milk is white. (iv) 1 is a prime number (1) (i), (ii), (iii) (2) (i), (ii), (iv) (3) (i), (iii), (iv) (4) (ii), (iii), (iv)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 2.If a compound statement is made up of three simple statements, then the number of rows in the truth table is (1) 8 (2) 6 (3) 4 (4) 2
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 3.
![The number of rows in the truth table of is
(1) 2 (2) 4 (3) 6 (4) 8]( "The number of rows in the truth table of is
(1) 2 (2) 4 (3) 6 (4) 8")
The number of rows in the truth table of is (1) 2 (2) 4 (3) 6 (4) 8- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 4.
![The conditional statement is equivalent to
(1) (2) (3) (4)]( "The conditional statement is equivalent to
(1) (2) (3) (4)")
The conditional statement is equivalent to (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 5.
![If p is T and q is F, then which of the following have the truth value T?
(i) (ii) (iii) (iv)
(1) (i), (ii), (iii) (2) (i), (ii), (iv) (3) (i),(iii),(iv) (4) (ii), (iii),(iv)]( "If p is T and q is F, then which of the following have the truth value T?
(i) (ii) (iii) (iv)
(1) (i), (ii), (iii) (2) (i), (ii), (iv) (3) (i),(iii),(iv) (4) (ii), (iii),(iv)")
If p is T and q is F, then which of the following have the truth value T? (i) (ii) (iii) (iv) (1) (i), (ii), (iii) (2) (i), (ii), (iv) (3) (i),(iii),(iv) (4) (ii), (iii),(iv)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 6.
![Which of the following is a tautology?
(1) (2) (3) (4)]( "Which of the following is a tautology?
(1) (2) (3) (4)")
Which of the following is a tautology? (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 7.
![Which of the following is not a binary operation on R
(1) (2) (3) (4)]( "Which of the following is not a binary operation on R
(1) (2) (3) (4)")
Which of the following is not a binary operation on R (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 8.
![Which of the following is a contradiction?
(1) (2) (3) (4)]( "Which of the following is a contradiction?
(1) (2) (3) (4)")
Which of the following is a contradiction? (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 9.
![Which of the following is not a group?
(1) (2) (3) (4)]( "Which of the following is not a group?
(1) (2) (3) (4)")
Which of the following is not a group? (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 10.
![is equivalent to
(1) (2) (3) (4)]( "is equivalent to
(1) (2) (3) (4)")
is equivalent to (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 11.A monoid becomes a group if it also satisfies the (1) closure axiom (2) associative axiom (3) identity axiom (4) inverse axiom
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 12.
![In the multiplicative group of cube root of unity the order of is
(1) 4 (2) 3 (3) 2 (4) 1]( "In the multiplicative group of cube root of unity the order of is
(1) 4 (2) 3 (3) 2 (4) 1")
In the multiplicative group of cube root of unity the order of is (1) 4 (2) 3 (3) 2 (4) 1- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 13.
![In the set of integers with operation * defined by , the value of is
(1) 25 (2) 15 (3) 10 (4) 5]( "In the set of integers with operation * defined by , the value of is
(1) 25 (2) 15 (3) 10 (4) 5")
In the set of integers with operation * defined by , the value of is (1) 25 (2) 15 (3) 10 (4) 5- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 14.
![The value of is
(1) (2) (3) (4)]( "The value of is
(1) (2) (3) (4)")
The value of is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 15.
![In the set of real numbers R, an operation * is defined by . Then the value of is
(1) 5 (2) (3) 25 (4) 50]( "In the set of real numbers R, an operation * is defined by . Then the value of is
(1) 5 (2) (3) 25 (4) 50")
In the set of real numbers R, an operation * is defined by . Then the value of is (1) 5 (2) (3) 25 (4) 50- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 16.
![The order of in is
(1) 9 (2) 6 (3) 3 (4) 1]( "The order of in is
(1) 9 (2) 6 (3) 3 (4) 1")
The order of in is (1) 9 (2) 6 (3) 3 (4) 1- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 17.
![Which of the following is correct?
(1) An element of a group can have more than one inverse.
(2) If every element of a group is its own inverse, then the group is abelian.
(3) The set of all real matrices forms a group under matrix multiplication.
(4) for all]( "Which of the following is correct?
(1) An element of a group can have more than one inverse.
(2) If every element of a group is its own inverse, then the group is abelian.
(3) The set of all real matrices forms a group under matrix multiplication.
(4) for all")
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 18.
![In the multiplicative group of th roots of unity, the inverse of is
(1) (2) (3) (4)]( "In the multiplicative group of th roots of unity, the inverse of is
(1) (2) (3) (4)")
In the multiplicative group of th roots of unity, the inverse of is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 19.
![The order of in the multiplicative group of roots of unity is
(1) 4 (2) 3 (3) 2 (4) 1]( "The order of in the multiplicative group of roots of unity is
(1) 4 (2) 3 (3) 2 (4) 1")
The order of in the multiplicative group of roots of unity is (1) 4 (2) 3 (3) 2 (4) 1- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 20.
![In the set of integers under the operation * defined by , then the identity element is
(1) 0 (2) 1 (3) a (4) b]( "In the set of integers under the operation * defined by , then the identity element is
(1) 0 (2) 1 (3) a (4) b")
In the set of integers under the operation * defined by , then the identity element is (1) 0 (2) 1 (3) a (4) b- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
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