The number of binary operations that can be defined on a set of 3 elements is _____________

(a)

3²

(b)

3³

(c)

3⁹

(d)

3¹

Which of the following is a contradiction?

(a)

p v q

(b)

p ∧ q

(c)

q v ~ q

(d)

q ∧ ~ q

Define * on Z by a * b = a + b + 1 ∀ a,b \(\in \) Z. Then the identity element of z is ________

(a)

1

(b)

0

(c)

1

(d)

-1

If a * b = a²b² - ab then 3 * (1 * 1)

(a)

0

(b)

1

(c)

2

(d)

4

Which of the following is a statement?

(a)

7+2<10

(b)

Wish you all success

(c)

All the best

(d)

How old are you?