# 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

Related Topics
• 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.
• 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)