12 - Maths - Unit 9 - Discrete Mathematics

20 Questions | By Padasalai12M | Updated: Mar 20, 2022 | Attempts: 1320

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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
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)
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)
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)
6.

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)
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)
8.

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)
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)
10.

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
- 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
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)
14.

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
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)
16.

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
- 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)
- 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
- 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
- A.
  
  (1)
- B.
  
  (2)
- C.
  
  (3)
- D.
  
  (4)